{"id":11912,"date":"2024-09-30T07:04:53","date_gmt":"2024-09-30T07:04:53","guid":{"rendered":"https:\/\/www.nextias.com\/blog\/?p=11912"},"modified":"2025-07-25T09:35:01","modified_gmt":"2025-07-25T09:35:01","slug":"upsc-civil-engineering-optional-question-papers-2024","status":"publish","type":"post","link":"https:\/\/www.nextias.com\/blog\/upsc-civil-engineering-optional-question-papers-2024\/","title":{"rendered":"UPSC Mains 2024 Civil Engineering Optional Papers"},"content":{"rendered":"\n<p><em>The UPSC conducted the <strong>CSE Mains 2024 Civil Engineering Optional Paper on September 29th, 2024<\/strong>, marking a significant milestone for aspirants. This examination tested candidates on a wide range of topics, covering both traditional civil engineering principles and modern technological applications, assessing their grasp of structural analysis, fluid mechanics, geotechnical engineering, and construction management. For future aspirants, understanding this year\u2019s paper and trends is vital for conducting a thorough analysis of the syllabus.<\/em><\/p><div id=\"ez-toc-container\" class=\"ez-toc-v2_0_56_1 counter-hierarchy ez-toc-counter ez-toc-transparent ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<span class=\"ez-toc-title-toggle\"><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/www.nextias.com\/blog\/upsc-civil-engineering-optional-question-papers-2024\/#UPSC_Mains_2024_Civil_Engineering_Optional_Paper-I\" title=\"UPSC Mains 2024 Civil Engineering Optional Paper-I\">UPSC Mains 2024 Civil Engineering Optional Paper-I<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.nextias.com\/blog\/upsc-civil-engineering-optional-question-papers-2024\/#%E0%A4%96%E0%A4%A3%E0%A5%8D%E0%A4%A1-A_SECTION-A\" title=\"\u0916\u0923\u094d\u0921-A \/ SECTION-A\">\u0916\u0923\u094d\u0921-A \/ SECTION-A<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.nextias.com\/blog\/upsc-civil-engineering-optional-question-papers-2024\/#%E0%A4%96%E0%A4%A3%E0%A5%8D%E0%A4%A1_B_SECTION_B\" title=\"\u0916\u0923\u094d\u0921 B \/ SECTION B\">\u0916\u0923\u094d\u0921 B \/ SECTION B<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.nextias.com\/blog\/upsc-civil-engineering-optional-question-papers-2024\/#UPSC_Mains_2024_Civil_Engineering_Optional_Papers_PDF\" title=\"UPSC Mains 2024 Civil Engineering Optional Papers PDF\">UPSC Mains 2024 Civil Engineering Optional Papers PDF<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.nextias.com\/blog\/upsc-civil-engineering-optional-question-papers-2024\/#How_to_download_the_UPSC_Civil_Services_Mains_2024_Civil_Engineering_Optional_Papers\" title=\"How to download the UPSC Civil Services Mains 2024 Civil Engineering Optional Papers?\">How to download the UPSC Civil Services Mains 2024 Civil Engineering Optional Papers?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.nextias.com\/blog\/upsc-civil-engineering-optional-question-papers-2024\/#UPSC_Mains_Optional_Previous_Year_Question_Papers\" title=\"UPSC Mains Optional Previous Year Question Papers\">UPSC Mains Optional Previous Year Question Papers<\/a><\/li><\/ul><\/nav><\/div>\n\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-background\" style=\"background-color:#ebecf0\"><tbody><tr><td><strong>Exam Name&nbsp;<\/strong><\/td><td>UPSC Civil Services Mains Exam 2024<\/td><\/tr><tr><td><strong>Total Optional Subjects in the UPSC CSE Exam<\/strong><\/td><td>48 subjects&nbsp;<\/td><\/tr><tr><td><strong>UPSC Civil Engineering Optional Exam Date&nbsp;<\/strong><\/td><td>September 29th, 2024<\/td><\/tr><tr><td><strong>UPSC Civil Engineering Optional Paper Duration<\/strong><\/td><td>Civil Engineering Optional Paper-I (Morning Session &#8211; 9 AM to 12 PM)<br>Civil Engineering Optional Paper-II (Afternoon Session &#8211; 2:30 PM to 5:30 PM)<\/td><\/tr><tr><td><strong>Total Marks (Civil Engineering Optional)&nbsp;<\/strong><\/td><td>500 Marks (250 Marks Each)<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h2 class=\"wp-block-heading has-text-color has-link-color wp-elements-c8fee128566c660933f710c63098334e\" style=\"color:#015aa7\"><span class=\"ez-toc-section\" id=\"UPSC_Mains_2024_Civil_Engineering_Optional_Paper-I\"><\/span><strong>UPSC Mains 2024 Civil Engineering Optional Paper-I<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<h2 class=\"wp-block-heading has-text-align-center has-luminous-vivid-orange-color has-text-color has-link-color wp-elements-c46224796e459eecdbf04f26a6c8cc83\"><span class=\"ez-toc-section\" id=\"%E0%A4%96%E0%A4%A3%E0%A5%8D%E0%A4%A1-A_SECTION-A\"><\/span><strong>\u0916\u0923\u094d\u0921-A \/ SECTION-A<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p><strong>1. (a) \u0928\u0940\u091a\u0947 \u091a\u093f\u0924\u094d\u0930 \u092e\u0947\u0902 \u0926\u0930\u094d\u0936\u093e\u090f \u0905\u0928\u0941\u0938\u093e\u0930 \u090f\u0915 \u092a\u094d\u0930\u093e\u0938 \u0927\u0930\u0928 ABCD, B \u0914\u0930 C \u0915\u0947 \u092c\u0940\u091a 10 kN\/m \u0915\u093e \u090f\u0915\u0938\u092e\u093e\u0928 \u0935\u093f\u0924\u0930\u093f\u0924 \u092d\u093e\u0930 \u090f\u0935\u0902 \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930 \u0938\u093f\u0930\u0947 D \u092a\u0930 50 kN-m \u0915\u093e \u0926\u0915\u094d\u0937\u093f\u0923\u093e\u0935\u0930\u094d\u0924 \u0906\u0918\u0942\u0930\u094d\u0923 \u0915\u094b \u0935\u0939\u0928 \u0915\u0930 \u0930\u0939\u0940 \u0939\u0948\u0964 A, D \u0914\u0930 \u0905\u0935\u092f\u0935 BC \u0915\u0947 \u0932\u093f\u090f \u092e\u0941\u0915\u094d\u0924-\u092a\u093f\u0923\u094d\u0921-\u0906\u0930\u0947\u0916 \u092c\u0928\u093e\u0907\u090f \u0964<\/strong><\/p>\n\n\n\n<p><strong>A cantilever beam ABCD, as shown in the above figure, is carrying a uniformly distributed load of 10 kN\/m between B &amp; C and a clockwise moment of 50 kN-m at free end D. Draw the free body diagram for A, D and for the member BC only.<\/strong> <strong>10 Marks<\/strong><\/p>\n\n\n\n<p><strong>1. (b) \u0928\u0940\u091a\u0947 \u091a\u093f\u0924\u094d\u0930 \u092e\u0947\u0902 \u090f\u0915 \u0905\u0915\u094d\u0937\u0940\u092f \u092d\u093e\u0930\u093f\u0924 \u0938\u0902\u092a\u0940\u0921\u093e\u0902\u0917 \u0915\u093e \u0905\u0928\u0941\u092a\u094d\u0930\u0938\u094d\u0925 \u0915\u093e\u091f \u0926\u0930\u094d\u0936\u093e\u092f\u093e \u0917\u092f\u093e \u0939\u0948\u0964 \u0907\u0938 \u0938\u0902\u092a\u0940\u0921\u093e\u0902\u0917 \u0915\u094b \u0915\u093e\u091f \u0915\u0947 \u0915\u0947\u0928\u094d\u0926\u094d\u0930 &#8216;O&#8217; \u092a\u0930 \u092d\u093e\u0930\u093f\u0924 \u0915\u093f\u092f\u093e \u091c\u093e\u0928\u093e \u0925\u093e\u0964 \u0924\u094d\u0930\u0941\u091f\u093f\u0935\u0936 \u0907\u0938\u0947 500 kN \u0915\u0947 \u0938\u0902\u0915\u0947\u0928\u094d\u0926\u094d\u0930\u093f\u0924 \u092d\u093e\u0930 \u0926\u094d\u0935\u093e\u0930\u093e \u092c\u093f\u0928\u094d\u0926\u0941 &#8216;P&#8217; \u092a\u0930 \u092d\u093e\u0930\u093f\u0924 \u0915\u0930 \u0926\u093f\u092f\u093e \u0917\u092f\u093e\u0964 \u0915\u093e\u091f \u0915\u0947 \u092c\u093f\u0928\u094d\u0926\u0941\u0913\u0902 A, B, C \u0914\u0930 D \u092a\u0930 \u092a\u094d\u0930\u0924\u093f\u092c\u0932 \u091c\u094d\u091e\u093e\u0924 \u0915\u0940\u091c\u093f\u090f \u0964<\/strong><\/p>\n\n\n\n<p><strong>Cross-section of an axially loaded compression member is shown in the above figure. This compression member was to be loaded at centre &#8216;O&#8217; of the Section. Due to mistake this was loaded at point &#8216;P&#8217; by a concentrated load of 500 kN. Find out the stresses at points A, B, C and D of the Section. 10 Marks<\/strong><\/p>\n\n\n\n<p><strong>1. (c) 20kN\/m \u0915\u0940 \u0924\u0940\u0935\u094d\u0930\u0924\u093e \u090f\u0935\u0902 6 \u092e\u0940\u091f\u0930 \u0932\u092e\u094d\u092c\u093e\u0908 \u0915\u093e \u090f\u0915 \u0938\u092e\u093e\u0928 \u0935\u093f\u0924\u0930\u093f\u0924 \u092d\u093e\u0930, 30 \u092e\u0940\u091f\u0930 \u0915\u0940 \u0935\u093f\u0938\u094d\u0924\u0943\u0924\u093f \u0935\u093e\u0932\u0947 \u0936\u0941\u0926\u094d\u0927\u093e\u0932\u092e\u094d\u092c\u093f\u0924 \u0917\u0930\u094d\u0921\u0930 \u092a\u0930 \u0938\u0902\u091a\u0932\u093f\u0924 \u0939\u094b\u0924\u093e \u0939\u0948\u0964 \u092c\u093e\u0901\u090f \u0906\u0932\u092e\u094d\u092c A \u0938\u0947 6 \u092e\u0940\u091f\u0930 \u092a\u0930 \u0938\u094d\u0925\u093f\u0924 \u090f\u0915 \u0915\u093e\u091f \u092a\u0930 \u0905\u0927\u093f\u0915\u0924\u092e \u092c\u0902\u0915\u0928 \u0906\u0918\u0942\u0930\u094d\u0923 \u0915\u093f\u0924\u0928\u093e \u0939\u094b\u0917\u093e ?<\/strong><\/p>\n\n\n\n<p class=\"has-text-align-left\"><br><strong>A uniformly distributed load of 20 kN\/m intensity and 6 m length moves over a simply supported girder of 30 m span. What will be the maximum bending moment at a section 6 m from the left support A?<\/strong> <strong>10 Marks<\/strong><\/p>\n\n\n\n<p><strong>1. (d) \u092c\u094b\u0932\u094d\u091f A \u0915\u0947 \u0932\u093f\u090f \u0905\u0927\u093f\u0915\u0924\u092e \u0905\u0928\u0941\u091c\u094d\u091e\u0947\u092f \u092d\u093e\u0930 (P) \u091c\u094d\u091e\u093e\u0924 \u0915\u0940\u091c\u093f\u090f\u0964 \u092c\u094b\u0932\u094d\u091f \u0915\u093e \u092e\u093e\u0928 45.3 kN \u092e\u093e\u0928 \u0932\u0940\u091c\u093f\u090f\u0964<\/strong><\/p>\n\n\n\n<p><strong>Determine the maximum permissible load (P) on the bolt A. Assume the Bolt value as 45-3 kN. 10 Marks<\/strong><\/p>\n\n\n\n<p><strong>1. (e) \u090f\u0915 \u092a\u094d\u0930\u092c\u0932\u093f\u0924 \u0915\u0902\u0915\u094d\u0930\u0940\u091f \u0938\u094d\u0924\u092e\u094d\u092d \u092e\u0947\u0902, \u0905\u0928\u0941\u092a\u094d\u0930\u0938\u094d\u0925 \u092a\u094d\u0930\u092c\u0932\u0928 \u0915\u0947 \u0915\u094d\u092f\u093e \u0915\u093e\u0930\u094d\u092f \u0939\u094b\u0924\u0947 \u0939\u0948\u0902 ?<br>What are the functions of transverse reinforcement in a reinforced concrete column?<\/strong> <strong>10 Marks<\/strong><\/p>\n\n\n\n<p><strong>2. (a) \u0928\u0940\u091a\u0947 \u091a\u093f\u0924\u094d\u0930 \u092e\u0947\u0902 \u0926\u0930\u094d\u0936\u093e\u0908 \u0917\u0908 \u092a\u094d\u0930\u093e\u0938 \u0927\u0930\u0928 ABC \u0915\u0940 \u0915\u0941\u0932 \u0935\u093f\u0938\u094d\u0924\u0943\u0924\u093f 2 \u092e\u0940\u091f\u0930 \u0939\u0948\u0964 \u092a\u0926\u093e\u0930\u094d\u0925 \u0915\u0947 \u0932\u093f\u090f \u0905\u0927\u093f\u0915\u0924\u092e \u0938\u0941\u0930\u0915\u094d\u0937\u093f\u0924 \u0905\u0928\u0941\u091c\u094d\u091e\u0947\u092f \u092c\u0902\u0915\u0928 \u092a\u094d\u0930\u0924\u093f\u092c\u0932 7500 kN\/m\u00b2 \u0939\u0948\u0964 \u0909\u0938 \u0905\u0927\u093f\u0915\u0924\u092e \u0938\u0941\u0930\u0915\u094d\u0937\u093f\u0924 \u090f\u0915 \u0938\u092e\u093e\u0928 \u0935\u093f\u0924\u0930\u093f\u0924 \u092d\u093e\u0930 \u0915\u094b \u091c\u094d\u091e\u093e\u0924 \u0915\u0940\u091c\u093f\u090f \u091c\u093f\u0938\u0947 \u092f\u0939 \u0927\u0930\u0928 \u0935\u0939\u0928 \u0915\u0930 \u0938\u0915\u0924\u0940 \u0939\u0948\u0964 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0915\u093f\u090f \u0917\u090f \u0938\u0941\u0930\u0915\u094d\u0937\u093f\u0924 \u090f\u0915\u0938\u092e\u093e\u0928 \u0935\u093f\u0924\u0930\u093f\u0924 \u092d\u093e\u0930 \u0915\u0947 \u0932\u093f\u090f \u0906\u0932\u092e\u094d\u092c A \u092a\u0930 \u0905\u0927\u093f\u0915\u0924\u092e \u0905\u092a\u0930\u0942\u092a\u0923 \u092a\u094d\u0930\u0924\u093f\u092c\u0932 \u0915\u093f\u0924\u0928\u093e \u0939\u094b\u0917\u093e ? (\u0927\u0930\u0928 \u0915\u093e \u0938\u094d\u0935\u092d\u093e\u0930 \u0928\u0917\u0928\u094d\u092f \u0939\u0948)<\/strong><\/p>\n\n\n\n<p><strong>A cantilever beam ABC as shown in the above figure is having a total span of 2.0 m. The maximum safe allowable bending stress is 7500 kN\/m\u00b2 for the material. Find the maximum safe uniformly distributed load which this beam can carry. What will be the maximum shear stress at support A for the obtained safe UDL? (Neglect the self weight of beam)<\/strong> <strong>20 Marks<\/strong><\/p>\n\n\n\n<p><strong>2. (b) \u0938\u0940\u092e\u093e\u0902\u0924-\u0905\u0935\u0938\u094d\u0925\u093e-\u0905\u092d\u093f\u0915\u0932\u094d\u092a\u0928 \u0935\u093f\u0927\u093f \u0926\u094d\u0935\u093e\u0930\u093e, \u092c\u093f\u0928\u093e \u0938\u0902\u092a\u0940\u0921\u0928 \u092a\u094d\u0930\u092c\u0932\u0928 \u0935\u093e\u0932\u0947 \u090f\u0915 \u0906\u092f\u0924\u093e\u0915\u093e\u0930 \u092a\u094d\u0930\u092c\u0932\u093f\u0924 \u0915\u0902\u0915\u094d\u0930\u0940\u091f \u0915\u093e\u091f \u0915\u0947 \u0932\u093f\u090f, \u092a\u094d\u0930\u0925\u092e \u0938\u093f\u0926\u094d\u0927\u093e\u0902\u0924 \u0915\u0947 \u0926\u094d\u0935\u093e\u0930\u093e, \u0909\u0926\u093e\u0938\u0940\u0928 \u0905\u0915\u094d\u0937 \u0915\u0940 \u0917\u0939\u0930\u093e\u0908 \u0915\u0947 \u0928\u093f\u0930\u094d\u0927\u093e\u0930\u0923 \u0915\u0947 \u0932\u093f\u090f \u0935\u094d\u092f\u0902\u091c\u0915 \u0935\u094d\u092f\u0941\u0924\u094d\u092a\u0928\u094d\u0928 \u0915\u0940\u091c\u093f\u090f \u0964 \u091a\u093f\u0924\u094d\u0930 1 \u090f\u0935\u0902 2 \u092e\u0947\u0902 \u0915\u094d\u0930\u092e\u0936\u0903 \u0915\u0902\u0915\u094d\u0930\u0940\u091f \u090f\u0935\u0902 \u092a\u094d\u0930\u092c\u0932\u0928 \u091b\u0921\u093c\u094b\u0902 \u0915\u0947 \u0932\u093f\u090f \u0926\u0930\u094d\u0936\u093e\u090f \u0917\u090f \u0935\u0915\u094d\u0930\u094b\u0902 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0940\u091c\u093f\u090f \u0964<\/strong><\/p>\n\n\n\n<p><strong>From first principles, derive the expression for determining the depth of neutral axis, for a rectangular reinforced concrete section without compression reinforcement, as per Limit State Method. Use the stress-strain curves for concrete and reinforcing bars shown in the Figs. 1 and 2. <\/strong> <strong>10 Marks<\/strong><\/p>\n\n\n\n<p><strong>2. (c) \u0926\u094b \u0932\u094b\u0939 \u0915\u094b\u0923 ISA 100\u00d7100\u00d712 mm, \u091a\u093f\u0924\u094d\u0930 \u092e\u0947\u0902 \u0926\u0930\u094d\u0936\u093e\u090f \u0905\u0928\u0941\u0938\u093e\u0930, \u0932\u094b\u0939 \u0915\u094b\u0923 \u0915\u0947 \u0917\u0941\u0930\u0941\u0924\u094d\u0935 \u0915\u0947\u0928\u094d\u0926\u094d\u0930 \u092a\u0930 \u0932\u0917\u0928\u0947 \u0935\u093e\u0932\u0947 540 kN \u0915\u0947 \u091a\u0930\u092e \u0924\u0928\u0928 \u092c\u0932 \u0915\u094b \u092a\u094d\u0930\u0947\u0937\u093f\u0924 \u0915\u0930\u0924\u0947 \u0939\u0948\u0902\u0964 \u0932\u094b\u0939 \u0915\u094b\u0923, \u0938\u0902\u0917\u092e \u092a\u091f\u094d\u091f\u093f\u0915\u093e \u0915\u0947 \u0926\u094b\u0928\u094b\u0902 \u0913\u0930 \u0935\u0947\u0932\u094d\u0921\u093f\u0902\u0917 \u0926\u094d\u0935\u093e\u0930\u093e \u091c\u094b\u0921\u093c\u0947 \u0917\u090f \u0939\u0948\u0902\u0964 \u092f\u0926\u093f \u092b\u093f\u0932\u0947\u091f \u0935\u0947\u0932\u094d\u0921 \u0915\u093e \u0906\u092e\u093e\u092a 6 mm \u0939\u094b \u0924\u094b \u0932\u092e\u094d\u092c\u093e\u0908 11 \u090f\u0935\u0902 12 \u0915\u0940 \u0905\u092d\u093f\u0915\u0932\u094d\u092a\u0928\u093e \u0915\u0940\u091c\u093f\u090f \u0964 f\u2081 = 410 MPa, \u0935\u0947\u0932\u094d\u0921\u093f\u0902\u0917 \u0915\u0947 \u0932\u093f\u090f \u0906\u0902\u0936\u093f\u0915 \u0938\u0941\u0930\u0915\u094d\u0937\u093e \u0917\u0941\u0923\u0915 Ymw = 1-25 \u0964 IS 800 : 2007 \u0915\u093e \u0938\u0902\u092c\u0902\u0927\u093f\u0924 \u092d\u093e\u0917 \u0938\u0902\u0932\u0917\u094d\u0928 \u0939\u0948\u0964<\/strong><\/p>\n\n\n\n<p><strong>Two angles ISA 100\u00d7100\u00d712 mm transmit an ultimate tensile force of 540 kN, acting through the C.G of angle sections as shown in the Figure. The angles are connected to the gusset plate on either side by welding. Design the lengths 1 and 12 of the weld if the size of the fillet weld is 6 mm, f=410 MPa, partial safety factor for the weld Ymw 1-25. Relevant portion of the IS 800: 2007 is enclosed. 20 Marks<\/strong><\/p>\n\n\n\n<p><strong>3. (a) \u0928\u0940\u091a\u0947 \u091a\u093f\u0924\u094d\u0930 \u092e\u0947\u0902 \u090f\u0915 \u092c\u0915\u094d\u0938\u093e \u092a\u0941\u0932\u093f\u092f\u093e ABCD \u0926\u0930\u094d\u0936\u093e\u0908 \u0917\u0908 \u0939\u0948\u0964 \u0928\u0940\u091a\u0947 \u0926\u093f\u090f \u0917\u090f \u0905\u0935\u092f\u0935-\u0906\u092c\u0926\u094d\u0927-\u0938\u093f\u0930\u093e-\u0906\u0918\u0942\u0930\u094d\u0923\u094b \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0930\u0924\u0947 \u0939\u0941\u090f; \u092c\u0915\u094d\u0938\u093e \u092a\u0941\u0932\u093f\u092f\u093e \u0915\u0947 \u0932\u093f\u090f \u0905\u0902\u0924\u093f\u092e \u0938\u093f\u0930\u093e \u0906\u0918\u0942\u0930\u094d\u0923\u094b\u0902 \u0915\u0940 \u0917\u0923\u0928\u093e &#8220;\u0906\u0918\u0942\u0930\u094d\u0923-\u0935\u093f\u0924\u0930\u0923 \u0935\u093f\u0927\u093f&#8221; \u0926\u094d\u0935\u093e\u0930\u093e \u0915\u0940\u091c\u093f\u090f \u0964 \u0915\u0947\u0935\u0932 \u0907\u0928 \u0906\u0918\u0942\u0930\u094d\u0923\u094b\u0902 \u0915\u093e \u0930\u0947\u0916\u093e\u091a\u093f\u0924\u094d\u0930 \u092d\u0940 \u092c\u0928\u093e\u0907\u092f\u0947 \u0964<\/strong><\/p>\n\n\n\n<p><strong>A box culvert ABCD is shown in the above figure. By using member fixed end moments given above; calculate the final end moments in the box culvert using &#8220;Moment distribution method.&#8221; Also sketch these moments only. 20 Marks<\/strong><\/p>\n\n\n\n<p><strong>3. (b) \u090f\u0915 T-\u0927\u0930\u0928 \u0915\u093e\u091f \u092e\u0947\u0902, 200 kNm \u0915\u0947 \u0938\u0947\u0935\u093e \u0906\u0918\u0942\u0930\u094d\u0923 \u0915\u094b \u0935\u0939\u0928 \u0915\u0947 \u0932\u093f\u090f \u0915\u0947\u0935\u0932 \u0906\u0928\u092e\u0928\u0940 \u092a\u094d\u0930\u092c\u0932\u0928 \u0915\u093e \u0905\u092d\u093f\u0915\u0932\u094d\u092a\u0928 \u0915\u0940\u091c\u093f\u090f \u0964 \u0915\u093e\u091f \u0915\u093e \u0935\u093f\u0935\u0930\u0923 \u0928\u0940\u091a\u0947 \u0926\u093f\u092f\u093e \u0917\u092f\u093e \u0939\u0948:<br>\u092b\u094d\u0932\u0947\u0902\u091c \u0915\u0940 \u091a\u094c\u0921\u093c\u093e\u0908 b_{f} = 1400mm<br>\u0935\u0947\u092c \u0915\u0940 \u091a\u094c\u0921\u093c\u093e\u0908 b_{w} = 300mm <br>T-\u0927\u0930\u0928 \u0915\u0940 \u092a\u094d\u0930\u092d\u093e\u0935\u0940 \u0917\u0939\u0930\u093e\u0908 d = 455mm <br>T-\u0927\u0930\u0928 \u0915\u0940 \u0915\u0941\u0932 \u0917\u0939\u0930\u093e\u0908 D = 500mm <br>\u092b\u094d\u0932\u0947\u0902\u091c \u0915\u0940 \u0917\u0939\u0930\u093e\u0908 D_{f} = 125mm<br>M25 \u0917\u094d\u0930\u0947\u0921 \u0915\u0902\u0915\u094d\u0930\u0940\u091f \u090f\u0935\u0902 Fe 500 \u0917\u094d\u0930\u0947\u0921 \u0907\u0938\u094d\u092a\u093e\u0924 \u0915\u093e \u0909\u092a\u092f\u094b\u0917 \u0915\u0940\u091c\u093f\u090f \u0964 IS 456: 2000 \u0915\u093e \u0938\u0902\u092c\u0902\u0927\u093f\u0924 \u092d\u093e\u0917 \u0938\u0902\u0932\u0917\u094d\u0928 \u0939\u0948\u0964<\/strong><br><strong>Design only the flexural reinforcement for a T-beam section to resist a service moment of 200 kNm. The details of the section are given below:<br>Breadth of flange b_{f} = 1400mm<br>Breadth of web b_{w} = 300mm<br>Effective depth of the T-beam d = 455mm<br>Overall depth of the T-beam D = 500mm<br>Depth of flange D_{f} = 125mm<br>Use M25 grade concrete and Fe 500 grade steel. Relevant portion of the IS 456: 2000 is enclosed. 20 Marks<\/strong><\/p>\n\n\n\n<p><strong>3. (c) \u090f\u0915 10 \u092e\u0940\u091f\u0930 \u0932\u092e\u094d\u092c\u093e \u0938\u094d\u091f\u0940\u0932 \u092a\u093e\u0907\u092a \u0926\u094b\u0928\u094b\u0902 \u0938\u093f\u0930\u094b\u0902 \u092a\u0930 \u0936\u0941\u0926\u094d\u0927\u093e\u0932\u092e\u094d\u092c\u093f\u0924 \u0939\u0948\u0964 \u0907\u0938\u0915\u093e \u092c\u093e\u0939\u0930\u0940 \u0935\u094d\u092f\u093e\u0938 500 mm \u0914\u0930 \u092e\u094b\u091f\u093e\u0908 20 mm \u0939\u0948\u0964 \u092f\u0939 \u0915\u0941\u0932 100 kN\/m \u0915\u093e \u090f\u0915\u0938\u092e\u093e\u0928 \u0935\u093f\u0924\u0930\u093f\u0924 \u092d\u093e\u0930 \u0935\u0939\u0928 \u0915\u0930 \u0930\u0939\u093e \u0939\u0948 (\u0907\u0938\u092e\u0947\u0902 \u0938\u094d\u0935\u092d\u093e\u0930 \u092d\u0940 \u0938\u093e\u092e\u093f\u0932 \u0939\u0948)\u0964 \u092a\u093e\u0907\u092a \u0915\u0947 \u0905\u0927\u093f\u0915\u0924\u092e \u0935\u093f\u0915\u094d\u0937\u0947\u092a \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0940\u091c\u093f\u090f \u0964 E = 200 GPa \u0932\u0940\u091c\u093f\u090f \u0964<br>A 10 mts long steel pipe is simply supported at both ends. It is having 500 mm external diameter and 20 mm thickness. It is carrying a total uniformly distributed load of 100 kN\/m (including the self weight). Calculate the maximum deflection of the pipe. Take E = 200 GPa. 10 Marks<\/strong><\/p>\n\n\n\n<p><strong>4. (a) \u090f\u0915 \u092a\u0942\u0930\u094d\u0935 \u092a\u094d\u0930\u0924\u093f\u092c\u0932\u093f\u0924 T-\u0927\u0930\u0928 \u0915\u0940 \u0905\u0928\u0941\u092a\u094d\u0930\u0938\u094d\u0925 \u0915\u093e\u091f \u092e\u0947\u0902 \u092b\u094d\u0932\u0947\u0902\u091c 1500 mm \u091a\u094c\u0921\u093c\u0940 \u090f\u0935\u0902 200 mm \u092e\u094b\u091f\u0940 \u0914\u0930 \u0930\u093f\u092c 300 mm \u091a\u094c\u0921\u093c\u0940 \u090f\u0935\u0902 1200 mm \u0917\u0939\u0930\u0940 \u0939\u0948\u0964 \u092f\u0939 \u0927\u0930\u0928 \u0905\u092a\u0928\u0947 \u0905\u091a\u0932 \u092d\u093e\u0930 \u0915\u0947 \u0905\u0924\u093f\u0930\u093f\u0915\u094d\u0924 20 kN\/m \u0915\u093e \u091a\u0932 \u092d\u093e\u0930, 18 m \u0915\u0940 \u0936\u0941\u0926\u094d\u0927\u093e\u0932\u0902\u092c\u093f\u0924 \u0935\u093f\u0938\u094d\u0924\u0943\u0924\u093f \u092a\u0930 \u0935\u0939\u0928 \u0915\u0930\u0924\u0940 \u0939\u0948\u0964 \u0907\u0938 \u0927\u0930\u0928 \u0915\u094b \u0928\u093f\u092f\u0924 \u0909\u0924\u094d\u0915\u0947\u0928\u094d\u0926\u094d\u0930\u0924\u093e &#8216;e&#8217; \u0935\u093e\u0932\u0947 \u0938\u0940\u0927\u0947 \u0924\u093e\u0930 \u0938\u0947 \u092a\u0942\u0930\u094d\u0935-\u092a\u094d\u0930\u0924\u093f\u092c\u0932\u093f\u0924 \u0915\u093f\u092f\u093e \u0917\u092f\u093e \u0939\u0948\u0964 \u092a\u0942\u0930\u094d\u0935 \u092a\u094d\u0930\u0924\u093f\u092c\u0932 \u092e\u0947\u0902 \u0939\u094d\u0930\u093e\u0938 16% \u092e\u093e\u0928 \u0932\u0940\u091c\u093f\u090f\u0964 \u092f\u0926\u093f \u0927\u0930\u0928 \u0915\u0947 \u0936\u0940\u0930\u094d\u0937 \u0914\u0930 \u0924\u0932 \u0915\u0947 \u0924\u0902\u0924\u0941\u0913\u0902 \u092e\u0947\u0902 \u0905\u0928\u0941\u091c\u094d\u091e\u0947\u092f \u0928\u093f\u092c\u0932 \u092a\u094d\u0930\u0924\u093f\u092c\u0932 \u0915\u094d\u0930\u092e\u0936\u0903 \u0936\u0942\u0928\u094d\u092f \u0914\u0930 5 MPa \u0939\u0948 \u0924\u094b \u092a\u094d\u0930\u093e\u0930\u0902\u092d\u093f\u0915 \u092a\u094d\u0930\u0924\u093f\u092c\u0932\u0928 \u092c\u0932 &#8216;P&#8217; \u0914\u0930 \u0907\u0938\u0915\u0940 \u0909\u0924\u094d\u0915\u0947\u0928\u094d\u0926\u094d\u0930\u0924\u093e &#8216;e&#8217; \u0928\u093f\u0930\u094d\u0927\u093e\u0930\u093f\u0924 \u0915\u0940\u091c\u093f\u090f\u0964 \u0915\u0902\u0915\u094d\u0930\u0940\u091f \u0915\u093e \u090f\u0915\u0915 \u092d\u093e\u0930 25 kN\/m\u00b3 \u0939\u0948\u0964<br>A prestressed concrete T-beam having the cross-section of flange 1500 mm wide and 200 mm thick, rib of 300 mm wide and 1200 mm deep. The beam carries a live load of 20 kN\/m apart from its dead load, over a simply supported span of 18 m. The beam is prestressed with a straight cable having constant eccentricity &#8216;e&#8217;. Assume the losses of prestress as 16%. Determine the initial prestressing force &#8216;P;&#8217; and its eccentricity &#8216;e&#8217;, if the permissible net stresses are equal to zero and 5 MPa respectively at top and bottom fibres of the beam. The unit weight of concrete is 25 kN\/m\u00b3. 20 Marks<\/strong><\/p>\n\n\n\n<p><strong>4. (b) \u0928\u0940\u091a\u0947 \u091a\u093f\u0924\u094d\u0930 \u092e\u0947\u0902 \u090f\u0915 \u092a\u093f\u0928 \u091c\u094b\u0921\u093c \u0935\u093e\u0932\u0940 \u0938\u092e\u092e\u093f\u0924 \u0930\u0942\u092a \u0938\u0947 \u092d\u093e\u0930\u093f\u0924 \u0915\u0948\u0902\u091a\u0940 ABCDE \u0926\u0930\u094d\u0936\u093e\u0908 \u0917\u0908 \u0939\u0948\u0964 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0905\u0935\u092f\u0935 \u0915\u093e \u0905\u0928\u0941\u092a\u094d\u0930\u0938\u094d\u0925 \u0915\u093e\u091f \u0915\u094d\u0937\u0947\u0924\u094d\u0930\u092b\u0932 500m * m ^ 2 \u0914\u0930 E = 200 GPa \u0939\u0948\u0964 \u091c\u094b\u0921\u093c C \u092a\u0930 \u092e\u093f\u0932\u0928\u0947 \u0935\u093e\u0932\u0947 \u0938\u092d\u0940 \u0905\u0935\u092f\u0935\u094b\u0902 \u0915\u0947 \u092c\u0932\u094b\u0902 \u0915\u094b \u091a\u093f\u0924\u094d\u0930 \u092e\u0947\u0902 \u0926\u0930\u094d\u0936\u093e\u092f\u093e \u0917\u092f\u093e \u0939\u0948\u0964 \u090f\u0915\u0915-\u092d\u093e\u0930-\u0935\u093f\u0927\u093f \u0926\u094d\u0935\u093e\u0930\u093e \u091c\u094b\u0921\u093c C \u0915\u0947 \u090a\u0930\u094d\u0927\u094d\u0935\u093e\u0927\u0930 \u0935\u093f\u0915\u094d\u0937\u0947\u092a \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0940\u091c\u093f\u090f \u0964<\/strong><\/p>\n\n\n\n<p><strong>A pin jointed, symmetrically loaded, truss &#8216;ABCDE&#8217; is shown in the above figure. Cross-sectional area of each member is 500 mm\u00b2 and E = 200 GPa. Forces in the members meeting at joint C are also shown in the figure. Calculate the vertical deflection of joint C by unit load method. 20 Marks<\/strong><\/p>\n\n\n\n<p><strong>4. (c) \u0938\u0902\u0930\u091a\u0928\u093e\u0924\u094d\u092e\u0915 \u0907\u0938\u094d\u092a\u093e\u0924 \u0915\u0947 \u090f\u0915 \u0924\u0928\u0928 \u0905\u0935\u092f\u0935 \u092e\u0947\u0902 \u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u092a\u094d\u0930\u0915\u093e\u0930 \u0915\u0940 \u092d\u0902\u0917 \u0935\u093f\u0927\u093e\u090f\u0902 \u0915\u094d\u092f\u093e \u0939\u0948\u0902? \u0930\u0947\u0916\u093e\u091a\u093f\u0924\u094d\u0930\u094b\u0902 \u0926\u094d\u0935\u093e\u0930\u093e \u0935\u094d\u092f\u093e\u0916\u094d\u092f\u093e \u0915\u0940\u091c\u093f\u090f\u0964<br>What are the different modes of failure of a structural steel tension member? Explain with sketches. 10 Marks<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading has-text-align-center has-luminous-vivid-orange-color has-text-color has-link-color wp-elements-e6356a75d224ad40608361eabe259448\"><span class=\"ez-toc-section\" id=\"%E0%A4%96%E0%A4%A3%E0%A5%8D%E0%A4%A1_B_SECTION_B\"><\/span><strong>\u0916\u0923\u094d\u0921 B \/ SECTION B<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p><strong>5. (a) \u090f\u0915 125 mm \u0935\u094d\u092f\u093e\u0938 \u0915\u093e \u090a\u0930\u094d\u0927\u094d\u0935\u093e\u0927\u0930 \u092c\u0947\u0932\u0928, \u090f\u0915 130 mm \u0935\u094d\u092f\u093e\u0938 \u0915\u0947 \u0906\u092c\u0926\u094d\u0927 \u092c\u0947\u0932\u0928 \u0915\u0947 \u0905\u0928\u094d\u0926\u0930 \u0938\u0902\u0915\u0947\u0902\u0926\u094d\u0930\u0924\u0903 \u0918\u0942\u092e\u0924\u093e \u0939\u0948\u0964 \u0926\u094b\u0928\u094b\u0902 \u092c\u0947\u0932\u0928\u094b\u0902 \u0915\u0940 \u0932\u092e\u094d\u092c\u093e\u0908 325 mm \u0939\u0948\u0964 \u092f\u0926\u093f 70 r.p.m \u0915\u0940 \u0917\u0924\u093f \u092c\u0928\u093e\u090f \u0930\u0916\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f 0-92 Nm \u092c\u0932 \u0906\u0918\u0942\u0930\u094d\u0923 \u0915\u0940 \u0906\u0935\u0936\u094d\u092f\u0915\u0924\u093e \u0939\u094b\u0924\u0940 \u0939\u0948, \u0924\u094b \u092c\u0947\u0932\u0928\u094b\u0902 \u0915\u0947 \u092c\u0940\u091a \u0915\u0940 \u091c\u0917\u0939 \u092e\u0947\u0902 \u092d\u0930\u0947 \u0939\u0941\u090f \u0926\u094d\u0930\u0935 \u0915\u0940 \u0917\u0924\u093f\u0915 \u0936\u094d\u092f\u093e\u0928\u0924\u093e \u091c\u094d\u091e\u093e\u0924 \u0915\u0940\u091c\u093f\u090f \u0964<br>A 125 mm diameter vertical cylinder rotates concentrically inside a fixed cylinder of diameter 130 mm. Both cylinders are 325 mm long. Find the dynamic viscosity of the liquid that fills the space between the cylinders, if a torque of 0-92 Nm is required to maintain a speed of 70 r.p.m. 10Marks<\/strong><\/p>\n\n\n\n<p><strong>5. (b) \u0906\u092a\u0947\u0915\u094d\u0937\u093f\u0915 \u0918\u0928\u0924\u094d\u0935 0-925 \u0914\u0930 \u0936\u0941\u0926\u094d\u0927 \u0917\u0924\u093f\u0915 \u0936\u094d\u092f\u093e\u0928\u0924\u093e 0.9 \u0938\u094d\u091f\u094b\u0915 \u0935\u093e\u0932\u0947 \u090f\u0915 \u0924\u0947\u0932 \u0915\u0940 \u0927\u093e\u0930\u093e, \u091c\u094b \u090f\u0915 6 m\/s \u0915\u0947 \u0938\u094d\u0935\u0924\u0902\u0924\u094d\u0930 \u0927\u093e\u0930\u093e \u0935\u0947\u0917 \u0938\u0947 \u092a\u094d\u0930\u0935\u093e\u0939\u093f\u0924 \u0939\u0948, \u092e\u0947\u0902 15 cm \u091a\u094c\u0921\u093c\u0940 \u0914\u0930 45 cm \u0932\u092e\u094d\u092c\u0940, \u0905\u0928\u0941\u0926\u0948\u0930\u094d\u0918\u094d\u092f\u0935\u0924 \u0930\u0916\u0940 \u0917\u0908, \u090f\u0915 \u091a\u092a\u091f\u0940 \u092a\u091f\u094d\u091f\u093f\u0915\u093e \u092a\u0930 \u0918\u0930\u094d\u0937\u0923 \u0935\u093f\u0915\u0930\u094d\u0937 \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0940\u091c\u093f\u090f\u0964 \u0938\u0940\u092e\u093e\u0902\u0924 \u092a\u0930\u0924 \u0915\u0940 \u092e\u094b\u091f\u093e\u0908 \u0914\u0930 \u0905\u0928\u0941\u0917\u093e\u092e\u0940 \u0915\u094b\u0930 \u092a\u0930 \u0905\u092a\u0930\u0942\u092a\u0923 \u092a\u094d\u0930\u0924\u093f\u092c\u0932 \u092d\u0940 \u091c\u094d\u091e\u093e\u0924 \u0915\u0940\u091c\u093f\u090f\u0964 \u091c\u0932 \u0915\u093e \u0918\u0928\u0924\u094d\u0935 1000 kg\/m\u00b3 \u0932\u0940\u091c\u093f\u090f \u0964<br>Calculate the friction drag on a flat plate 15 cm wide and 45 cm long placed longitudinally in a stream of oil of relative density 0.925 and kinematic viscosity 0-9 stoke, flowing with a free stream velocity of 6 m\/s. Also find the thickness of the boundary layer and shear stress at the trailing edge. Take density of water 1000 kg\/m\u00b3. 10 Marks<\/strong><\/p>\n\n\n\n<p><strong>5. (c) \u0928\u0940\u091a\u0947 \u091a\u093f\u0924\u094d\u0930 \u092e\u0947\u0902 \u0926\u0930\u094d\u0936\u093e\u0908 \u0917\u0908 \u090f\u0915 \u0935\u093f\u0936\u093e\u0932 \u091f\u0902\u0915\u0940 \u092e\u0947\u0902 70 cm \u0932\u092e\u094d\u092c\u093e \u0914\u0930 2 cm \u0935\u094d\u092f\u093e\u0938 \u0915\u093e \u090f\u0915 \u0909\u0930\u094d\u0927\u094d\u0935\u093e\u0927\u0930 \u092a\u093e\u0907\u092a \u0932\u0917\u093e \u0939\u0948\u0964 \u091f\u0902\u0915\u0940 \u092e\u0947\u0902, 920 kg\/m\u00b3 \u0918\u0928\u0924\u094d\u0935 \u090f\u0935\u0902 1.5 \u092a\u093e\u092f\u0938 \u0935\u093e\u0932\u093e \u0924\u0947\u0932 \u0939\u0948\u0964 \u091c\u092c \u091f\u0902\u0915\u0940 \u092e\u0947\u0902 \u0924\u0947\u0932 \u0938\u0924\u0939 \u0915\u0940 \u090a\u0901\u091a\u093e\u0908, \u092a\u093e\u0907\u092a \u0915\u0947 \u0905\u0928\u094d\u0924\u0930\u094d\u0917\u092e \u0938\u0947 0.80m \u090a\u092a\u0930 \u0939\u094b \u0924\u094b \u092a\u093e\u0907\u092a \u092e\u0947\u0902 \u0938\u0947 \u0928\u093f\u0938\u094d\u0938\u0930\u0923 \u0915\u094b \u091c\u094d\u091e\u093e\u0924 \u0915\u0940\u091c\u093f\u090f \u0964<\/strong><\/p>\n\n\n\n<p><strong>A large tank as shown in the above figure has a vertical pipe 70 cm long and 2 cm in diameter. The tank contains an oil of density 920 kg\/m\u00b3 and viscosity 1.5 poise . Find the discharge through pipe &nbsp;when the height of the oil level of the tank is 0.80 m above the pipe inlet.<\/strong> <strong>10 Marks<\/strong><\/p>\n\n\n\n<p><strong>5. (d) \u0915\u094d\u0930\u094b\u0921 \u0915\u0930\u094d\u0924\u0928 (\u0915\u094b\u0930 \u0915\u091f\u0930) \u0935\u093f\u0927\u093f \u0926\u094d\u0935\u093e\u0930\u093e \u090f\u0915 \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u0918\u0928\u0924\u094d\u0935 \u092a\u0930\u0940\u0915\u094d\u0937\u0923 \u0915\u093f\u092f\u093e \u0917\u092f\u093e \u091c\u093f\u0938\u0938\u0947 \u0928\u093f\u092e\u094d\u0928\u0932\u093f\u0916\u093f\u0924 \u0906\u0902\u0915\u0921\u0947 \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0939\u0941\u090f :<br>\u0916\u093e\u0932\u0940 \u0915\u094b\u0930 \u0915\u091f\u0930 \u0915\u093e \u0935\u091c\u0928 = 23 N<br>\u092e\u0943\u0926\u093e \u090f\u0935\u0902 \u0915\u094b\u0930 \u0915\u091f\u0930 \u0915\u093e \u0935\u091c\u0928 = 50 N<br>\u0915\u094b\u0930 \u0915\u091f\u0930 \u0915\u0940 \u0935\u093f\u092e\u093e\u090f\u0902 : \u0935\u094d\u092f\u093e\u0938 = 90 mm \u090f\u0935\u0902 \u090a\u0901\u091a\u093e\u0908 = 180 mm <br>\u091c\u0932\u093e\u0902\u0936 \u0928\u093f\u0930\u094d\u0927\u093e\u0930\u0923 \u0915\u0947 \u0932\u093f\u090f \u0928\u092e-\u0928\u092e\u0942\u0928\u0947 \u0915\u093e \u0935\u091c\u0928 = 55\u00d710-2 N <br>\u092d\u091f\u094d\u091f\u0940 \u092e\u0947\u0902 \u0938\u0941\u0916\u093e\u090f \u0917\u090f \u0928\u092e\u0942\u0928\u0947 \u0915\u093e \u0935\u091c\u0928 = 52\u00d710-2 N <br>\u092e\u0943\u0926\u093e \u0915\u0923\u094b\u0902 \u0915\u093e \u0935\u093f\u0936\u093f\u0937\u094d\u091f \u0918\u0928\u0924\u094d\u0935 = 2.70 <br>\u0907\u0938\u0915\u0947 \u0932\u093f\u090f \u0936\u0941\u0937\u094d\u0915\u0918\u0928\u0924\u094d\u0935, \u0930\u093f\u0915\u094d\u0924\u093f \u0905\u0928\u0941\u092a\u093e\u0924, \u090f\u0935\u0902 \u0938\u0902\u0924\u0943\u092a\u094d\u0924\u093f \u0915\u0940 \u092e\u093e\u0924\u094d\u0930\u093e \u091c\u094d\u091e\u093e\u0924 \u0915\u0940\u091c\u093f\u090f \u0964<br>A field density test was conducted by core-cutter method and the following data was obtained:<br>Weight of empty core-cutter 23 N<br>Weight of soil and core-cutter = 50 N<br>Dimensions of the core-cutter dia = 90 mm and height = 180 mm<br>Weight of wet sample for moisture determination = 55\u00d710-2 N<br>Weight of oven dry sample = 52\u00d710-2 N<br>Specific gravity of soil grains = 2-70<br>Determine its dry density, void ratio and degree of saturation.<\/strong> <strong>10 Marks<\/strong><\/p>\n\n\n\n<p><strong>5. (e) \u090f\u0915 \u0938\u094d\u0925\u0932 \u092a\u0930 \u0926\u094b \u092a\u091f\u094d\u091f\u093f\u0915\u093e-\u092d\u093e\u0930-\u092a\u0930\u0940\u0915\u094d\u0937\u0923 \u0915\u093f\u090f \u0917\u090f \u090f\u0915 300 mm \u0915\u0940 \u0935\u0930\u094d\u0917\u093e\u0915\u093e\u0930 \u092a\u091f\u094d\u091f\u093f\u0915\u093e \u0938\u0947 \u090f\u0935\u0902 \u0926\u0942\u0938\u0930\u093e 600 mm \u0915\u0940 \u0935\u0930\u094d\u0917\u093e\u0915\u093e\u0930 \u092a\u0930\u0940\u0915\u094d\u0937\u0923 \u092a\u091f\u094d\u091f\u093f\u0915\u093e \u0938\u0947\u0964 \u0907\u0928 \u0926\u094b \u092a\u0930\u0940\u0915\u094d\u0937\u0923\u094b\u0902 \u092e\u0947\u0902 25 mm \u0928\u093f\u0937\u0926\u0928 \u0915\u0947 \u0932\u093f\u090f \u092c\u0932\u094b\u0902 \u0915\u093e \u092e\u093e\u0928 \u0915\u094d\u0930\u092e\u0936\u0903 21-6 kN \u090f\u0935\u0902 64.8 kN \u092a\u094d\u0930\u093e\u092a\u094d\u0924 \u0939\u0941\u0906 \u0964 \u0930\u0947\u0924 \u0915\u0947 \u0932\u093f\u090f \u0905\u0928\u0941\u091c\u094d\u091e\u0947\u092f-\u0927\u093e\u0930\u0915-\u0926\u093e\u092c; \u0914\u0930 \u0928\u093f\u0937\u0926\u0928 \u0915\u0947 25 mm \u0938\u0947 \u0905\u0927\u093f\u0915 \u0928\u0939\u0940\u0902 \u0939\u094b\u0928\u0947 \u0915\u0940 \u0938\u094d\u0925\u093f\u0924\u093f \u092e\u0947\u0902 \u090f\u0915 1.5mx1.5m \u0915\u0940 \u0935\u0930\u094d\u0917\u093e\u0915\u093e\u0930 \u092a\u093e\u0926 \u0926\u094d\u0935\u093e\u0930\u093e \u092c\u0939\u0928 \u0915\u093f\u090f \u091c\u093e\u0928\u0947 \u0935\u093e\u0932\u0947 \u092d\u093e\u0930 \u0915\u094b \u0928\u093f\u0930\u094d\u0927\u093e\u0930\u093f\u0924 \u0915\u0940\u091c\u093f\u090f \u0964<br>Two plate load tests were conducted at a site &#8211; one with a 300 mm square plate and other with a 600 mm square test plate. For a settlement of 25 mm the loads were found to be 21.6 kN and 64.8 kN respectively in the two tests. Determine the allowable bearing pressure of the sand and the load which a square footing 1-5 m\u00d71-5 m can carry with the settlement not exceeding 25 mm. 10 Marks<\/strong><\/p>\n\n\n\n<p><strong>6. (a) \u092a\u093e\u0928\u0940 \u0915\u0947 \u090f\u0915 \u091c\u0939\u093e\u091c \u0915\u093e \u092a\u094d\u0930\u0924\u093f\u0930\u094b\u0927\u0915 \u092c\u0932 F, \u0907\u0938\u0915\u0940 \u0932\u092e\u094d\u092c\u093e\u0908 L, \u0935\u0947\u0917 V, \u0917\u0941\u0930\u0941\u0924\u094d\u0935\u093e\u0915\u0930\u094d\u0937\u0923 8 \u0914\u0930 \u0926\u094d\u0930\u0935 \u0917\u0941\u0923\u094b\u0902 \u091c\u0948\u0938\u0947 \u0915\u093f \u0918\u0928\u0924\u094d\u0935 \u090f\u0935\u0902 \u0936\u094d\u092f\u093e\u0928\u0924\u093e \u0915\u093e \u092b\u0932\u0928 \u0939\u0948\u0964 \u0907\u0938 \u0938\u092e\u094d\u092c\u0928\u094d\u0927 \u0915\u094b \u0935\u093f\u092e\u093e\u0930\u0939\u093f\u0924 \u092a\u094d\u0930\u0930\u0942\u092a \u092e\u0947\u0902 \u0932\u093f\u0916\u093f\u090f \u0964 The resistance force F of a ship is a function of its length L, velocity V, acceleration due to gravity g and fluid properties like density pand viscosity \u00b5. Write this relationship in a dimensionless form. 15 Marks<\/strong><\/p>\n\n\n\n<p><strong>6. (b) \u090f\u0915 \u0926\u094d\u0935\u093f\u0935\u093f\u092e\u0940\u092f \u092a\u094d\u0930\u0935\u093e\u0939 \u0915\u0947 \u0932\u093f\u090f \u092a\u094d\u0930\u0935\u093e\u0939 \u092b\u0932\u0928 w = 2xy \u0926\u094d\u0935\u093e\u0930\u093e \u0926\u093f\u092f\u093e \u0917\u092f\u093e \u0939\u0948\u0964 \u092c\u093f\u0928\u094d\u0926\u0941 P(2, 3) \u092a\u0930 \u0935\u0947\u0917 \u090f\u0935\u0902 \u0935\u0947\u0917-\u0935\u093f\u092d\u0935 \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0940\u091c\u093f\u090f \u0964 The stream function for a two-dimensional flow is given by y=2xy. Calculate the velocity and velocity potential at point P(2, 3). 15 Marks<\/strong><\/p>\n\n\n\n<p><strong>6. (c) \u090f\u0915 \u0928\u094c-\u0918\u0930\u094d\u0937\u0923 \u0938\u094d\u0925\u0942\u0923\u093e\u0913\u0902 \u0915\u0947 \u0938\u092e\u0942\u0939 \u0915\u094b, 60 kN\/m\u00b2 \u0915\u0940 \u0905\u092a\u0930\u093f\u092c\u0926\u094d\u0927 \u0938\u0902\u092a\u0940\u0921\u0928 \u0915\u094d\u0937\u092e\u0924\u093e \u0935\u093e\u0932\u0940 5m \u092e\u094b\u091f\u0940 \u092e\u0943\u0924\u094d\u0924\u093f\u0915\u093e \u091c\u093f\u0938\u0915\u0947 \u0928\u0940\u091a\u0947 100 kN\/m\u00b2 \u0915\u0940 \u0905\u092a\u0930\u093f\u092c\u0926\u094d\u0927 \u0938\u0902\u092a\u0940\u0921\u0928 \u0915\u094d\u0937\u092e\u0924\u093e \u0935\u093e\u0932\u0940 10m \u092e\u094b\u091f\u0940 \u092e\u0943\u0924\u094d\u0924\u093f\u0915\u093e \u0939\u0948, \u092e\u0947\u0902 \u0917\u093e\u0921\u093c\u093e \u0917\u092f\u093e \u0939\u0948\u0964 \u0938\u094d\u0925\u0942\u0923\u093e\u0913\u0902 \u0915\u094b \u0924\u0940\u0928 \u0915\u0924\u093e\u0930\u094b\u0902 \u092e\u0947\u0902 \u0932\u0917\u093e\u092f\u093e \u0917\u092f\u093e \u0939\u0948 \u0914\u0930 \u090f\u0915 \u0915\u0924\u093e\u0930 \u092e\u0947\u0902 \u0938\u094d\u0925\u0942\u0923\u093e\u090f\u0902 1.00 m \u0915\u0940 \u0915\u0947\u0928\u094d\u0926\u094d\u0930 \u0926\u0942\u0930\u0940 \u092a\u0930 \u0939\u0948\u0902; \u0915\u0924\u093e\u0930\u0947\u0902 750 mm \u0915\u0940 \u0915\u0947\u0928\u094d\u0926\u094d\u0930 \u0926\u0942\u0930\u0940 \u092a\u0930 \u0939\u0948\u0902\u0964 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0938\u094d\u0925\u0942\u0923\u093e \u0915\u093e \u0935\u094d\u092f\u093e\u0938 300 mm \u0939\u0948\u0964 \u092f\u0926\u093f 2.5 \u0915\u093e \u0938\u0941\u0930\u0915\u094d\u0937\u093e \u0917\u0941\u0923\u0915 \u0906\u0935\u0936\u094d\u092f\u0915 \u0939\u0948 \u0924\u094b \u0938\u092e\u0942\u0939 \u0926\u094d\u0935\u093e\u0930\u093e \u0935\u0939\u0928 \u0915\u093f\u090f \u091c\u093e \u0938\u0915\u0928\u0947 \u0935\u093e\u0932\u0947 \u0905\u0927\u093f\u0915\u0924\u092e \u092d\u093e\u0930 \u0915\u094b \u0928\u093f\u0930\u094d\u0927\u093e\u0930\u093f\u0924 \u0915\u0940\u091c\u093f\u090f \u0964 N<sub>c<\/sub> = 9 \u0914\u0930 \u092e\u0943\u0924\u094d\u0924\u093f\u0915\u093e \u0915\u093e \u090f\u0915\u0915 \u092d\u093e\u0930 16.4 kN\/m\u00b3 \u0932\u0940\u091c\u093f\u090f \u0964<br>A group of nine friction piles is driven through 5 m of clay with unconfined compressive strength of 60 kN\/m\u00b2 followed by 10 m of clay with unconfined compressive strength of 100 kN\/m\u00b2. The piles are in 3 rows and will be 1.00 m centres in a row and the rows will be 750 mm on centres. Each pile has a diameter of 300 mm. If a factor of safety of 2.5 is required, determine the maximum load that can be carried by the group. Take N<sub>c<\/sub> = 9 and unit weight of clay as 16.4 kN\/m\u00b3.<\/strong> <strong>20 Marks<\/strong><\/p>\n\n\n\n<p><strong>7. (a) \u090f\u0915 \u0928\u0939\u0930 \u0915\u094b \u090f\u0915 \u092e\u0943\u0926\u093e, \u091c\u093f\u0938\u0915\u093e c = 20kN \/ (m ^ 2) phi = 20 deg e = 0 * 80 \u090f\u0935\u0902 G = 2.7 \u0939\u0948, \u092e\u0947\u0902 \u0916\u094b\u0926\u093e \u091c\u093e\u0928\u093e \u0939\u0948\u0964 \u092a\u093e\u0930\u094d\u0936\u094d\u0935 \u0922\u093e\u0932 1 \u092e\u0947\u0902 1 \u0939\u0948\u0964 \u0928\u0939\u0930 \u0915\u0940 \u0917\u0939\u0930\u093e\u0908 8 m \u0930\u0916\u0928\u0940 \u0939\u0948\u0964 \u0928\u0939\u0930 \u0915\u0947 \u092a\u0942\u0930\u094d\u0923 \u092a\u094d\u0930\u0935\u093e\u0939\u093f\u0924 \u0939\u094b\u0928\u0947 \u092a\u0930 \u0938\u0902\u0938\u0902\u091c\u0928 \u0915\u0947 \u0938\u093e\u092a\u0947\u0915\u094d\u0937 \u092e\u0947\u0902 \u0938\u0941\u0930\u0915\u094d\u0937\u093e \u0917\u0941\u0923\u0915 \u091c\u094d\u091e\u093e\u0924 \u0915\u0940\u091c\u093f\u090f\u0964 \u092f\u0926\u093f \u0928\u0939\u0930 \u0924\u0947\u091c\u0940 \u0938\u0947 \u0916\u093e\u0932\u0940 \u0915\u0940 \u091c\u093e\u090f, \u0924\u094b \u0938\u0941\u0930\u0915\u094d\u0937\u093e \u0917\u0941\u0923\u093e\u0902\u0915 \u0915\u094d\u092f\u093e \u0939\u094b\u0917\u093e ? beta = 45 deg \u0915\u0947 \u0932\u093f\u090f, \u0915\u0947 \u0935\u093f\u092d\u093f\u0928\u094d\u0928 \u092e\u093e\u0928\u094b\u0902 \u0915\u0947 \u0932\u093f\u090f \u0938\u094d\u0925\u093e\u092f\u093f\u0924\u094d\u0935 \u0905\u0902\u0915 \u0928\u093f\u092e\u094d\u0928\u092a\u094d\u0930\u0915\u093e\u0930 \u0939\u0948\u0902:<\/strong><\/p>\n\n\n\n<p><strong>A canal is to be excavated through a soil with c = 20kN \/ (m ^ 2) phi = 20 deg e = 0 * 80 and G = 2.7 The side slope is 1 in 1. The depth of the canal is to be 8 m. Determine the factor of safety with respect to cohesion when the canal runs full. What will be the factor of safety if the canal is rapidly emptied? For beta = 45 degree the stability number for various &amp; values are as given above. 15 Marks<\/strong><\/p>\n\n\n\n<p><strong>7. (b) \u090f\u0915 \u0928\u093f\u0930\u094d\u092e\u093e\u0923 \u0938\u094d\u0925\u0932 \u092a\u0930 \u092e\u0943\u0926\u093e \u092a\u0930\u093f\u091a\u094d\u091b\u0947\u0926\u093f\u0915\u093e (\u092a\u094d\u0930\u094b\u092b\u093e\u0907\u0932) \u092e\u0947\u0902 \u0938\u0918\u0928 \u0930\u0947\u0924 3 m \u0917\u0939\u0930\u093e\u0908 \u0924\u0915, \u0938\u093e\u092e\u093e\u0928\u094d\u092f \u092d\u093e\u0930\u093f\u0924 \u092e\u0943\u0926\u0941 \u092e\u0943\u0924\u094d\u0924\u093f\u0915\u093e 3m \u0938\u0947 8 m \u0917\u0939\u0930\u093e\u0908 \u0924\u0915 \u090f\u0935\u0902 8 m \u0938\u0947 \u0928\u0940\u091a\u0947 \u0926\u0943\u0922-\u0905\u092a\u094d\u0930\u0935\u0947\u0936\u094d\u092f \u091a\u091f\u094d\u091f\u093e\u0928 \u0939\u0948\u0964 \u092d\u094c\u092e \u091c\u0932 \u0938\u094d\u0924\u0930 \u0927\u0930\u093e\u0924\u0932 \u0938\u0947 0.6 m \u0928\u0940\u091a\u0947 \u0939\u0948\u0964 \u0930\u0947\u0924 \u0915\u093e \u0918\u0928\u0924\u094d\u0935 \u091c\u0932 \u0938\u094d\u0924\u0930 \u0915\u0947 \u090a\u092a\u0930 18-6 kN\/m\u00b3 \u0914\u0930 \u091c\u0932 \u0938\u094d\u0924\u0930 \u0915\u0947 \u0928\u0940\u091a\u0947 19-2 kN\/m\u00b3 \u0939\u0948\u0964 \u092e\u0943\u0924\u094d\u0924\u093f\u0915\u093e \u0915\u0947 \u0932\u093f\u090f \u092a\u094d\u0930\u093e\u0915\u0943\u0924\u093f\u0915 \u091c\u0932\u093e\u0902\u0936 50%, \u0926\u094d\u0930\u0935 \u0938\u0940\u092e\u093e 70% \u0914\u0930 \u0935\u093f\u0936\u093f\u0937\u094d\u091f \u0918\u0928\u0924\u094d\u0935 2.70 \u0939\u0948\u0964 \u0938\u094d\u0925\u0932 \u0915\u0947 \u090f\u0915 \u0935\u093f\u0938\u094d\u0924\u0943\u0924 \u0915\u094d\u0937\u0947\u0924\u094d\u0930 \u092a\u0930 \u0932\u0917\u093e\u090f \u0917\u090f 50 kN\/m\u00b2 \u0915\u0947 \u090f\u0915\u0938\u092e\u093e\u0928 \u0935\u093f\u0924\u0930\u093f\u0924 \u0938\u0924\u0939\u0940 \u092d\u093e\u0930 \u0915\u0947 \u0915\u093e\u0930\u0923 \u0939\u094b\u0928\u0947 \u0935\u093e\u0932\u0947 \u0938\u0902\u092d\u093e\u0935\u093f\u0924 \u091a\u0930\u092e \u0928\u093f\u0937\u0926\u0928 \u0915\u0940 \u0917\u0923\u0928\u093e \u0915\u0940\u091c\u093f\u090f\u0964<br>The soil profile at a building site consists of dense sand up to 3 m depth, normally loaded soft clay from 3 m to 8 m depth and stiff impervious rock below 8 m depth. The ground water table is at 0-60 m depth below ground level. The sand has a density of 18-6 kN\/m\u00b3 above water table and 19-2 kN\/m\u00b3 below water table. For the clay, natural water content is 50%, liquid limit is 70% and specific gravity is 2.70. Calculate the probable ultimate settlement resulting from a uniformly distributed surface load of 50 kN\/m\u00b2 applied over an extensive area of the site. 15Marks<\/strong><\/p>\n\n\n\n<p><strong>7. (c) \u090f\u0915 \u0928\u0939\u0930 \u092e\u0947\u0902 \u091c\u0932 \u092a\u094d\u0930\u0935\u093e\u0939 425 l\/s \u0938\u0947 680 l\/s \u0924\u0915 \u092a\u0930\u093f\u0935\u0930\u094d\u0924\u093f\u0924 \u0939\u094b\u0924\u093e \u0939\u0948\u0964 \u092f\u0939 \u0905\u092a\u0947\u0915\u094d\u0937\u093f\u0924 \u0939\u0948 \u0915\u093f 90\u00b0 \u0915\u0947 V-\u0928\u0949\u091a \u0935\u093f\u092f\u0930 \u0938\u0947 \u090f\u0915 \u0935\u093e\u0939\u093f\u0915\u093e \u092e\u0947\u0902 \u091b\u094b\u0921\u093c\u0947 \u091c\u093e\u0928\u0947 \u0935\u093e\u0932\u0947 \u091c\u0932 \u0915\u093e \u0935\u093f\u0938\u0930\u094d\u091c\u0928 340 l\/s \u0938\u0947 \u0915\u092e \u090f\u0935\u0902 425 l\/s \u0938\u0947 \u0905\u0927\u093f\u0915 \u0928 \u0939\u094b, \u091c\u092c\u0915\u093f \u092c\u091a\u093e \u0939\u0941\u0906 \u091c\u0932 \u090f\u0915 \u0924\u0940\u0935\u094d\u0930-\u0936\u093f\u0916\u0930-\u0906\u092f\u0924\u093e\u0915\u093e\u0930 \u0935\u093f\u092f\u0930 \u0915\u0947 \u090a\u092a\u0930 \u0938\u0947 \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u0906\u092f\u0924\u093e\u0915\u093e\u0930 \u0935\u093f\u092f\u0930 \u0915\u0940 \u0932\u092e\u094d\u092c\u093e\u0908 \u0914\u0930 \u092a\u094d\u0930\u0924\u094d\u092f\u0947\u0915 \u0935\u093f\u092f\u0930 \u0915\u0947 \u090a\u092a\u0930 \u0905\u0927\u093f\u0915\u0924\u092e \u0926\u093e\u092c\u094b\u091a\u094d\u091a\u0924\u093e \u091c\u094d\u091e\u093e\u0924 \u0915\u0940\u091c\u093f\u090f \u0964 \u0926\u094b\u0928\u094b\u0902 \u0935\u093f\u092f\u0930 \u0915\u0947 \u0932\u093f\u090f C = 0.58 \u0932\u0940\u091c\u093f\u090f \u0964<br>The flow of water in a canal varies from 425 l\/s to 680 l\/s. It is desired to discharge not less than 340 l\/s of water and not more than 425 l\/s over a 90\u00b0 V-notch weir into one channel, while the remainder goes over a sharp-crested rectangular weir. Find the length of rectangular weir and maximum head on each weir. Take C=0.58 for both weirs.<\/strong> <strong>20Marks<\/strong><\/p>\n\n\n\n<p><strong>8. (a) \u090f\u0915 \u092e\u0938\u0943\u0923 \u090a\u0930\u094d\u0927\u094d\u0935\u093e\u0927\u0930 \u092a\u0943\u0937\u094d\u0920 \u0935\u093e\u0932\u0940 8m \u090a\u0901\u091a\u0940 \u090f\u0915 \u092a\u094d\u0930\u0924\u093f\u0927\u093e\u0930\u0915 \u092d\u093f\u0924\u094d\u0924\u093f \u0915\u094b \u090f\u0915 \u092e\u0943\u0926\u093e \u0938\u0902\u0939\u0924\u093f \u091c\u093f\u0938\u0915\u093e c = 50kN \/ (m ^ 2) phi = 15 deg \u090f\u0935\u0902 \u090f\u0915\u0915 \u092d\u093e\u0930 18 kN\/m\u00b3 \u0939\u0948, \u0915\u0947 \u0935\u093f\u0930\u0941\u0926\u094d\u0927 \u0927\u0915\u094d\u0915\u093e \u0926\u093f\u092f\u093e \u091c\u093e\u0924\u093e \u0939\u0948\u0964 \u092f\u0939 \u0905\u092a\u0928\u0947 \u0936\u0940\u0930\u094d\u0937 \u0938\u0924\u0939 \u092a\u0930 40 kN\/m\u00b2 \u0915\u093e \u0938\u092e \u0905\u0927\u093f\u092d\u093e\u0930 \u0935\u0939\u0928 \u0915\u0930\u0924\u0940 \u0939\u0948\u0902\u0964 \u0928\u093f\u0937\u094d\u0915\u094d\u0930\u093f\u092f-\u0926\u093e\u092c-\u0935\u093f\u0924\u0930\u0923-\u0906\u0930\u0947\u0916 \u092c\u0928\u093e\u0907\u090f \u0914\u0930 \u092a\u0930\u093f\u0923\u093e\u092e\u0940 \u092a\u094d\u0930\u0923\u094b\u0926 \u0915\u0947 \u0932\u093f\u090f \u092a\u094d\u0930\u092f\u094b\u0917 \u092c\u093f\u0928\u094d\u0926\u0941 \u092d\u0940 \u091c\u094d\u091e\u093e\u0924 \u0915\u0940\u091c\u093f\u090f \u0964<br>A retaining wall 8 m high, with a smooth vertical back is pushed against a soil mass having c = 50kN \/ (m ^ 2) , phi = 15 degree and unit weight 18 kN\/m\u00b3. It carries a surcharge of 40 kN\/m\u00b2 uniformly on surface. Draw the passive pressure distribution diagram and find the point of application of the resultant thrust. 15 Marks<\/strong><\/p>\n\n\n\n<p><strong>8. (b) \u090f\u0915 \u0935\u093f\u0936\u093f\u0937\u094d\u091f \u092e\u0943\u0926\u093e, 600 kN\/m\u00b2 \u0915\u0947 \u090f\u0915 \u0909\u091a\u094d\u091a \u092e\u0941\u0916\u094d\u092f \u092a\u094d\u0930\u0924\u093f\u092c\u0932 \u0914\u0930 200 kN\/m\u00b2 \u0915\u0947 \u0938\u0902\u0917\u0924 \u0928\u093f\u092e\u094d\u0928 \u092e\u0941\u0916\u094d\u092f \u092a\u094d\u0930\u0924\u093f\u092c\u0932 \u092a\u0930 \u0935\u093f\u092b\u0932 \u0939\u094b \u091c\u093e\u0924\u0940 \u0939\u0948\u0964 \u092f\u0926\u093f \u0907\u0938\u0940 \u092e\u0943\u0926\u093e \u0928\u092e\u0942\u0928\u0947 \u0915\u0947 \u0932\u093f\u090f \u0928\u093f\u092e\u094d\u0928 \u092e\u0941\u0916\u094d\u092f \u092a\u094d\u0930\u0924\u093f\u092c\u0932 300 kN\/m\u00b2 \u0939\u094b\u0924\u093e \u0924\u094b \u0928\u093f\u0930\u094d\u0927\u093e\u0930\u093f\u0924 \u0915\u0940\u091c\u093f\u090f \u0915\u093f \u0909\u091a\u094d\u091a \u092e\u0941\u0916\u094d\u092f \u092a\u094d\u0930\u0924\u093f\u092c\u0932 \u0915\u093f\u0924\u0928\u093e \u0939\u094b\u0924\u093e, \u092f\u0926\u093f (i) phi = 35 deg \u090f\u0935\u0902 (ii) phi = 0 deg \u0939\u0948\u0964 <br>A particular soil failed under a major principal stress of 600 kN\/m\u00b2 with a corresponding minor principal stress of 200 kN\/m\u00b2. If for the same soil, the minor principal stress had been 300 kN\/m\u00b2, determine what the major principal stress would have been if (i) phi = 35 deg and (ii) phi = 0 deg <\/strong>. <strong>15 Marks<\/strong><\/p>\n\n\n\n<p><strong>8. (c) \u090f\u0915 \u0905\u0928\u094d\u0924\u0930\u094d\u092e\u0941\u0916 \u092a\u094d\u0930\u0935\u093e\u0939\u0940 \u092a\u094d\u0930\u0924\u093f\u0915\u094d\u0930\u093f\u092f\u093e \u091f\u0930\u092c\u093e\u0907\u0928 30m \u0915\u0940 \u0926\u094d\u0930\u093e\u092c\u094b\u091a\u094d\u091a\u0924\u093e \u0914\u0930 10 m\u00b3\/s \u0915\u0947 \u0928\u093f\u0938\u094d\u0938\u0930\u0923 \u092a\u0930 \u0915\u093e\u0930\u094d\u092f\u0930\u0924 \u0939\u0948\u0964 \u091a\u0915\u094d\u0930\u093e\u0932 (\u0930\u0928\u0930) \u0915\u0940 \u0917\u0924\u093f 300 r.p.m \u0939\u0948\u0964 \u091a\u0915\u094d\u0930\u093e\u0932 \u0935\u0947\u0928 \u0915\u0947 \u0905\u0928\u094d\u0924\u0930\u094d\u0917\u092e \u0905\u0917\u094d\u0930 \u092a\u0930 \u091a\u0915\u094d\u0930 \u0915\u093e \u092a\u0930\u093f\u0927\u0940\u092f \u0935\u0947\u0917 0.9sqrt(2gH) \u090f\u0935\u0902 \u092a\u094d\u0930\u0935\u093e\u0939 \u0915\u093e \u0924\u094d\u0930\u093f\u091c\u094d\u092f \u0935\u0947\u0917 0.3sqrt(2gH) \u0939\u0948, \u091c\u0939\u093e\u0902 H \u091f\u0930\u092c\u093e\u0907\u0928 \u092a\u0930 \u0926\u093e\u092c\u094b\u091a\u094d\u091a\u0924\u093e \u0939\u0948\u0964 \u092f\u0926\u093f \u091f\u0930\u092c\u093e\u0907\u0928 \u0915\u0940 \u0915\u0941\u0932 \u0926\u0915\u094d\u0937\u0924\u093e \u090f\u0935\u0902 \u0926\u094d\u0930\u0935\u0940\u092f (\u0939\u093e\u0907\u0921\u094d\u0930\u0949\u0932\u093f\u0915) \u0926\u0915\u094d\u0937\u0924\u093e \u0915\u094d\u0930\u092e\u0936\u0903 80% \u090f\u0935\u0902 90% \u0939\u0948\u0902 \u0924\u094b, \u091c\u094d\u091e\u093e\u0924 \u0915\u0940\u091c\u093f\u090f :<br>(i) \u0909\u0924\u094d\u092a\u0928\u094d\u0928 \u0936\u0915\u094d\u0924\u093f, kw \u092e\u0947\u0902 <br>(ii) \u0905\u0928\u094d\u0924\u0930\u094d\u0917\u092e \u092a\u0930 \u091a\u0915\u094d\u0930\u093e\u0932 \u0915\u093e \u0935\u094d\u092f\u093e\u0938 \u0914\u0930 \u091a\u094c\u0921\u093c\u093e\u0908 <br>(iii) \u0905\u0928\u094d\u0924\u0930\u094d\u0917\u092e \u092a\u0930 \u0928\u093f\u0930\u094d\u0926\u0947\u0936\u0915 \u092c\u094d\u0932\u0947\u0921 \u0915\u094b\u0923 <br>(iv) \u091a\u0915\u094d\u0930\u093e\u0932 \u0935\u0947\u0928 \u092a\u0930 \u0905\u0928\u094d\u0924\u0930\u094d\u0917\u092e \u0915\u094b\u0923 \u0928\u093f\u0930\u094d\u0917\u092e \u092a\u0930 \u0935\u093f\u0938\u0930\u094d\u091c\u0928 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u0940\u092f \u092e\u093e\u0928 \u0932\u0940\u091c\u093f\u090f \u0964 \u0928\u093f\u0930\u094d\u0917\u092e \u092a\u0930 \u0935\u093f\u0938\u0930\u094d\u091c\u0928 \u0924\u094d\u0930\u093f\u091c\u094d\u092f\u0940\u092f \u092e\u093e\u0928 \u0932\u0940\u091c\u093f\u090f \u0964<\/strong><br><strong>An inward flow reaction turbine works under a head of 30 m and discharge of 10 m\u00b3\/s. The speed of runner is 300 r.p.m. At the inlet tip of runner vane, the peripheral velocity of wheel is 0-9\/2gH and the radial velocity of flow is 0-3-\u221a2gH, where H is the head on the turbine. If the overall efficiency and the hydraulic efficiency of the turbine are 80% and 90% respectively, determine:<br>(i) the power developed in kw<br>(ii) diameter and width of runner at inlet<br>(iii) guide blade angle at inlet<br>(iv) inlet angle at runner vane<br>Assume that the discharge at outlet is radial. 20 Marks<\/strong><\/p>\n\n\n\n<h2 class=\"wp-block-heading has-text-color has-link-color wp-elements-e7b434d91c29682e91ad9e16c7a8f900\" style=\"color:#015aa7\"><span class=\"ez-toc-section\" id=\"UPSC_Mains_2024_Civil_Engineering_Optional_Papers_PDF\"><\/span><strong>UPSC Mains 2024 Civil Engineering Optional Papers PDF<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>The UPSC Civil Services Mains 2024 Civil Engineering Optional Paper has been conducted, and the Question Paper PDF is now available. This question paper offers a detailed collection of questions, serving as an essential resource for understanding the specific requirements of the Civil Engineering optional subject. Aspirants can review the Civil Engineering question paper to evaluate the topics and difficulty level of the questions, providing valuable insights into the expectations of the exam. The link to download the PDF of the UPSC Mains 2024 Civil Engineering Optional question paper is provided below for easy access.<\/p>\n\n\n\n<p><\/p>\n\n\n\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-container-core-buttons-is-layout-16018d1d wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button has-custom-width wp-block-button__width-75 is-style-round\"><a class=\"wp-block-button__link wp-element-button\" href=\"https:\/\/www.nextias.com\/previous-year-upsc-mains-papers\/civil-engineering-optional\" style=\"border-radius:76px\">Download <strong>UPSC Mains 2024 Civil Engineering Optional Papers PDF<\/strong><\/a><\/div>\n<\/div>\n\n\n\n<p><\/p>\n\n\n\n<h2 class=\"wp-block-heading has-text-color has-link-color wp-elements-53ccb29bea514619777fbcd6f364aac7\" style=\"color:#015aa7\"><span class=\"ez-toc-section\" id=\"How_to_download_the_UPSC_Civil_Services_Mains_2024_Civil_Engineering_Optional_Papers\"><\/span><strong>How to download the UPSC Civil Services Mains 2024 Civil Engineering Optional Papers?<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p>To download the <strong>UPSC Civil Services Mains 2024 Civil Engineering Optional Papers<\/strong>, follow these steps:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>Visit the Official UPSC Website<\/strong>: Go to the official website of the Union Public Service Commission at<a href=\"https:\/\/www.upsc.gov.in\" target=\"_blank\" rel=\"noopener\"> upsc.gov.in<\/a>.<\/li>\n\n\n\n<li><strong>Navigate to the Examination Section<\/strong>: Look for the &#8216;Examinations&#8217; tab in the main menu and click on it.<\/li>\n\n\n\n<li><strong>Select &#8216;Previous Year Papers&#8217;<\/strong>: Within the Examinations section, find the link for &#8216;Previous Year Papers&#8217; papers.<\/li>\n\n\n\n<li><strong>Locate the 2024 Mains Examination Papers<\/strong>: Look for the section dedicated to the <strong>2024 Civil Services Mains Examination<\/strong>.<\/li>\n\n\n\n<li><strong>Find the Civil Engineering Optional Paper<\/strong>: Scroll through the list of available papers to locate the <strong>Civil Engineering Optional Paper<\/strong>.<\/li>\n\n\n\n<li><strong>Download the PDF<\/strong>: Click on the link for the Civil Engineering Optional Paper to open it. Then, you can download the PDF file by clicking the download icon or using the &#8216;Save As&#8217; option from your browser.<\/li>\n\n\n\n<li><strong>Save for Reference<\/strong>: Once downloaded, save the document in a folder for easy access and future reference.<\/li>\n<\/ul>\n\n\n\n<h2 class=\"wp-block-heading has-text-color has-link-color wp-elements-d1ef07ed3c08a7c3127ff6dffbd0c133\" style=\"color:#015aa7\"><span class=\"ez-toc-section\" id=\"UPSC_Mains_Optional_Previous_Year_Question_Papers\"><\/span><strong>UPSC Mains Optional Previous Year Question Papers<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-background\" style=\"background-color:#ebecf0\"><tbody><tr><td>Geography Optional Papers<\/td><td><a href=\"https:\/\/www.nextias.com\/previous-year-upsc-mains-papers\/geography-optional\" data-type=\"link\" data-id=\"https:\/\/www.nextias.com\/previous-year-upsc-mains-papers\/geography-optional\"><strong>Download Now<\/strong><\/a><\/td><\/tr><tr><td>PSIR Optional Papers<\/td><td><a href=\"https:\/\/www.nextias.com\/previous-year-upsc-mains-papers\/psir-optional\" data-type=\"link\" data-id=\"https:\/\/www.nextias.com\/previous-year-upsc-mains-papers\/psir-optional\"><strong>Download Now<\/strong><\/a><\/td><\/tr><tr><td>Sociology Optional Papers<\/td><td><a href=\"https:\/\/www.nextias.com\/previous-year-upsc-mains-papers\/sociology-optional\" data-type=\"link\" data-id=\"https:\/\/www.nextias.com\/previous-year-upsc-mains-papers\/sociology-optional\"><strong>Download Now<\/strong><\/a><\/td><\/tr><tr><td>Anthropology Optional Papers<\/td><td><a href=\"https:\/\/www.nextias.com\/previous-year-upsc-mains-papers\/anthropology-optional\" data-type=\"link\" data-id=\"https:\/\/www.nextias.com\/previous-year-upsc-mains-papers\/anthropology-optional\"><strong>Download Now<\/strong><\/a><\/td><\/tr><tr><td>History Optional Papers<\/td><td><a href=\"https:\/\/www.nextias.com\/previous-year-upsc-mains-papers\/history-optional\" data-type=\"link\" data-id=\"https:\/\/www.nextias.com\/previous-year-upsc-mains-papers\/history-optional\"><strong>Download Now<\/strong><\/a><\/td><\/tr><tr><td>Economics Optional Papers<\/td><td><a href=\"https:\/\/www.nextias.com\/previous-year-upsc-mains-papers\/economics-optional\" data-type=\"link\" data-id=\"https:\/\/www.nextias.com\/previous-year-upsc-mains-papers\/economics-optional\"><strong>Download Now<\/strong><\/a><\/td><\/tr><tr><td>Mathematics Optional Papers<\/td><td><a href=\"https:\/\/www.nextias.com\/previous-year-upsc-mains-papers\/mathematics-optional\" data-type=\"link\" data-id=\"https:\/\/www.nextias.com\/previous-year-upsc-mains-papers\/mathematics-optional\"><strong>Download Now<\/strong><\/a><\/td><\/tr><tr><td>Civil Engineering Optional Papers<\/td><td><a href=\"https:\/\/www.nextias.com\/previous-year-upsc-mains-papers\/civil-engineering-optional\" data-type=\"link\" data-id=\"https:\/\/www.nextias.com\/previous-year-upsc-mains-papers\/civil-engineering-optional\"><strong>Download Now<\/strong><\/a><\/td><\/tr><tr><td>Electrical Engineering Optional Papers<\/td><td><a href=\"https:\/\/www.nextias.com\/previous-year-upsc-mains-papers\/electrical-engineering-optional\" data-type=\"link\" data-id=\"https:\/\/www.nextias.com\/previous-year-upsc-mains-papers\/electrical-engineering-optional\"><strong>Download Now<\/strong><\/a><\/td><\/tr><tr><td>Mechanical Engineering Optional Papers<\/td><td><a href=\"https:\/\/www.nextias.com\/previous-year-upsc-mains-papers\/mechanical-engineering-optional\" data-type=\"link\" data-id=\"https:\/\/www.nextias.com\/previous-year-upsc-mains-papers\/mechanical-engineering-optional\"><strong>Download Now<\/strong><\/a><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>The <strong>UPSC Mains 2024 <\/strong><strong>Civil Engineering <\/strong><strong>Optional Paper<\/strong> has provided aspirants with a crucial resource to understand the exam&#8217;s requirements and develop effective strategies for future preparations. Stay tuned for more updates and insights on the UPSC Mains Optional examination, and download the <strong>Civil Engineering <\/strong>Optional question paper using the link provided.<\/p>\n\n\n\n<p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>The UPSC conducted the CSE Mains 2024 Civil Engineering Optional Paper on September 29th, 2024, marking a significant milestone for aspirants. <\/p>\n","protected":false},"author":9,"featured_media":12040,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[476,844],"tags":[],"class_list":["post-11912","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-upsc-cse","category-resources"],"_links":{"self":[{"href":"https:\/\/www.nextias.com\/blog\/wp-json\/wp\/v2\/posts\/11912","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.nextias.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.nextias.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.nextias.com\/blog\/wp-json\/wp\/v2\/users\/9"}],"replies":[{"embeddable":true,"href":"https:\/\/www.nextias.com\/blog\/wp-json\/wp\/v2\/comments?post=11912"}],"version-history":[{"count":8,"href":"https:\/\/www.nextias.com\/blog\/wp-json\/wp\/v2\/posts\/11912\/revisions"}],"predecessor-version":[{"id":21195,"href":"https:\/\/www.nextias.com\/blog\/wp-json\/wp\/v2\/posts\/11912\/revisions\/21195"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.nextias.com\/blog\/wp-json\/wp\/v2\/media\/12040"}],"wp:attachment":[{"href":"https:\/\/www.nextias.com\/blog\/wp-json\/wp\/v2\/media?parent=11912"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.nextias.com\/blog\/wp-json\/wp\/v2\/categories?post=11912"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.nextias.com\/blog\/wp-json\/wp\/v2\/tags?post=11912"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}