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August 2015 V62/T07043/20150822 Strength of Material Instructions: 1. All questions are compulsory. 2. “Long Answer type Question (LAQ)” is a supply type question of 15 marks which required a typical answer of about 60-80 lines in bout 32-40 minutes. 3. “Sort Answer type Question (SAQ)” is a supply type question of 5 marks which required a typical answer of about 15-20 lines in bout 08-10 minutes. 4. Figures to the right indicate marks allotted to the questions. 5. Assume suitable data if necessary 6. Use a nonprogrammable type of scientific calculator is allowed Marks-80 Time: 3 Hrs Marks SECTION-A Q.1 Two parallel walls, 8 m apart, are to be stayed together by steel rod of 30 mm diameter with the help of washers and nuts at the ends. The steel rod is passed through the metal plates and is heated. When its temperature is raised to 900c, the nuts are tightened. Determine the pull in the bar when it is cooled to 240C if i) the ends do not yield ii) the total yielding at the ends is 2 mm. E=205 Gpa and coefficient of thermal expansion of steel, αs = 11 X 10-6 / 0c 15 OR Q.1 A cylindrical shell is 3 m long,1 internal diameter and 15mm metal thickness . Calculate circumferential strain and longitudinal strain, if cylindrical shell is subjected to internal pressure of 1.5 N/mm2. Take E= 2X 105 N/mm2 and Poisson's Ratio=0.25 15 Q.2 Determine the M.I of a solid rectangular section 40 mm wide and 60 mm deep about its smaller side. 15 OR Q.2 A cantilever beam 4 long carries a dull of 2kN/ over 2 m from free end and a point load of 4 kN at free end. Draw S.F and B.M diagrams. 15 Q.3 Explain various types of strains? 5 Q.4 Explain in brief Linear and Lateral Strain. 5 SECTION-B Q.5 A vertical flag staff is 10 m long and is of square section throughout. Section at the bottom is 160 mm x160 mm and tapers uniformly to 80 mm X 80 mm at the top. Determine the maximum stress due to bending if a horizontal pool of 1kN is applied at the top, direction of loading being along a diagonal of the section. 15 OR Q.5 A rectangular column 150 mm wide and 100 mm thick carries a load of 150 kN at an eccentricity of 50mm in the plane bi-secting the thickness. Find max and min intensities of stress in the section. 15 Q.6 Two shafts are made of the same materials. Each shaft transmits the same power. The 1st shaft rotates at 50 r.p.m while the 2nd at 5000 r.p.m. Determine the ratio of diameters of two shafts for the same maximum shear stress in each shaft. 15 OR Q.6 A short column of 30 m internal diameter and 60 mm external diameter carries an eccentric load of 120 kN. Determine the maximum eccentricity which the load can have without producing tension on the cross section of the column. 15 Q.7 Write down Middle Third Rule or Limit of Eccentricity 5 Q.8 Define with equation of power transmission. 5 Computer Generated Random Question Paper dated: 06-07-2015 13:11:50 ***BEST OF LUCK***