1.a. The bar is tested in a universal testing machine. It is observed that at a load of 40 kN the total extension of the bar is 0.285mm. determine the the Young's modulus of the material.

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1.b. A circular pipe of external diameter 70 mm and thickness 8 mm is used as a simple supported beam over an defective spam of 2.5 m. Find the maximum concentrated load that can be applied at the centre of the span if the permissible stress in the tube is 150 N/mm².

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2.a. A Composite bar is rigidly fitted at the supports A & B as shown in figure. Determine the reactions at the supports when the temperature rises by 20° c. Take PIC

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2.b. A T section 100 mm x 130 mm x 20 mm is subjected to a shear force of 100 kN. Draw the shear stress distribution and find the maximum shear stress.

3.a. A hollow shaft transmits 100 kW at 120 r.p.m. Allowable shear stress in material is 50 n/mm². Shaft shall not Twist 2° in 1 m length. Ratio of internal diameter to external diameter is 0.25. Take G= 80 kN/mm². Maximum Torque is 15% more than Mean Torque. Calculate maximum external diameter of shaft.

3.b. At a point in the beam the normal stress along the length is 80 N/mm². The stress at the point is positive magnitude of 35 N/mm². Find the stresses on a plane is normal is inclined at 30° to the longitudinal axis. Also find the principal stresses and planes on which they act.