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SPPU Civil Engineering (Semester 3)
Strength of Materials
May 2017
Total marks: --
Total time: --
INSTRUCTIONS
(1) Assume appropriate data and state your reasons
(2) Marks are given to the right of every question
(3) Draw neat diagrams wherever necessary

Solve any one question from Q.1(a,b) &Q.2(a,b)
1(a) The bar is tested in a Universal Testing Machine. It is observed that at a load of 40kN the total extension of the bar is 0.285 mm. Determine the Young's modulus of the bar material
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6 M
1(b) A circular pipe of external diameter 70 mm and thickness 8 mm is used as a simply supported beam over an effective span of 2.5m. 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
!mage
6 M

2(a) A composite bar is rigidity fitted at the suports A & B as shown in figure. Determine the reactions at the supports when the temperature rises byt 20°C. Take Ea= 70 GN/m2, Es= 200 GN/m2, α= 11×10-6/°-C abd αs= 12×10-6/°-C.
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6 M
2(b) A T section 100mm×130mm×20mm is subjected to a Shear force of 100kN. Draw the shear stress distribution and find the maximum shear stress.
6 M

Solve any one question from Q.3(a,b) & Q.4(a,b)
3(a) A hollow shaft transmits 100 kW at 120 r.p.m. Allowance shear stress in material is 50N/mm2. Shaft shall not twist 2° in 1m 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 a shaft.
6 M
3(b) At a point in a beam the normal stress along the length is 80N/mm2. The stress at that point is positive magnitude of 35N/mm2. Find the stresses on a plane whose normal is inclined at 30° to the longitudinal axis. Also find the principal stresses and planes on which they act.
6 M

4(a) A load of 500 N falls freely through a height of 150 mm on to a collar attached to the end of a vertical rod of 50 mm diameter and 2m long, the upper end of the rod being fixed to the ceiling. Calculate the maximum instantaneous extension of the bar and also calculate the maximum stress in the bar. Assume E = 200 Gpa.
6 M
4(b) What is meant by torque? State the assumptions made in the determination of shear stress in circular shafts subjected to torision.
6 M

Solve any one question from Q.5(a,b) & Q.6(a,b)
5(a) Draw Shear Force Diagram and Bending Moment Diagram of simply supported beam as shown in figure.
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7 M
5(b) Draw the loading diagram and bending moment diagram from the given shear force diagram of a beam.
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6 M

6(a) Draw Shear Force Diagram and Bending Moment of simply supported beam as shown in figure.
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7 M
6(b) Construct loading diagram for the following shear force diagram for a beam as shown in fig. !mage
6 M

Solve any one question from Q.7(a,b) &Q.8(a,b)
7(a) Calculate the safe compressive load on hollow C.I. Column with one end fixed an other end hinged. The column having a 150 mm external diameter and 100 mm internal diameter and 10m length. Use Euler's Formula with factor of safety 5. Take E = 95×103 N/mm2.
6 M
7(b) A hollow C.I. column whose outside diameter is 250mm has a thickness of 15 mm. It is 4.5 m long and is fixed at both ends. Calculate the safe load by Rankine's formula using a factor of safety 4. Calculate slenderness ration & Rankine's critical load. Take $\sigma _{c}=550\ \ N/mm^{2}, a=\frac{1}{600}$ Take E = 9.4×104 N/mm2.
7 M

8(a) A rectangular column of 240mm×150mm is subjected to a vertical load of 10 kN placed at an eccentrictiy of 60 mm in a plane bisecting 150 mm side. Determine the maximum & minimum stress intensities in the section.
6 M
8(b) A mansonry pillar 8m high is 1.5m×2.5m in section, a horiziontal wind pressure of 1.4 kN/m2 acts on the 2.5m×8m face. Find the maximum and minimum stress intensities induced on the base section. The weight of mansonry is 22.5 kN/m3.
7 M

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