RGPV Strength of Materials - December 2015 Exam Question Paper

RGPV Civil Engineering (Semester 3)
Strength of Materials
December 2015

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

1(a) Define malleability and ductility.

2 M

1(b) What is the purpose of Mohr's circle?

2 M

1(c) A circular rod of 12.5mm was tested for tension. The total elongation on a 325 mm length was 0.23 mm under a tensile load of 18kN. Find the value of Young's modulus.

3 M

Solve any one question from Q.1(d) & Q.1(e)

1(d) Explain with mathematical derivation, thermal stresses indued in bars of tapering section due to change in temperature.

7 M

1(e) Determine the percentage change in volume of a steel har 50mm square in section and 1m long when subjected to an axial compressive load of 20kN.What change in volume would a 100mm cube of steel suffer at a depth of 5km in sea water?

7 M

2(a) Define flextural rigidity and its significance.

2 M

2(b) Explain different types of beams with diagram.

2 M

2(c) Name various methods of finding deflection in beams. Define any one method in brief.

3 M

Solve any one question from Q.2(d) & Q.2(e)

2(d) Derive the expression M/I=E/R=σ/y for simple bending of a beam.

7 M

2(e) A beam simply supported at ends A and B is loaded with two points loads of 30kN each at a distance of 2m and 3m respectively from end A. Determine the position and magnitude of the maximum deflection by double integration method. Take E=2×10⁵N/mm²and I=7200cm⁴

7 M

3(a) Explain different types of springs with graphical representation.

2 M

3(b) What is thick cylinder?

2 M

3(c) Write assumptions made by theory of pure torsion.

3 M

Solve any one question from Q.3(d) & Q.3(e)

3(d) Derive the expression of deflection of open coiled helical spring subjected to axial load.

7 M

3(e) A cylindrical shells 2m long and 90cm internal diameter and 12mm metal thickness s subjected to an internal pressure of 1.6N/mm².Determine
Maximum intensity of shear stress and
b) Change in the dimensions of the shell
Take E=2×10⁵N/mm²and 1/m=0.3

7 M

4(a) What is a beam of uniform strength?

2 M

4(b) What are the reasons for unsymmetrical bending?

2 M

4(c) What do you understand by shear center?

3 M

Solve any one question from Q.4(d) & Q.4(e)

4(d) Define shear stress and show the shear stress distribution mathematically and graphically over solid circular section.

7 M

4(e) Derive the expression for shear stress distribution over I-section.

7 M

5(a) Differentiate column and struts.

2 M

5(b) Define factor of safety.

2 M

5(c) How columns are classified depending upon slenderness ratio?

3 M

Solve any one question from Q.5(d) & Q.5(e)

5(d) Derive an expression for finding the buckling load for a column having one end fixed and another hinged.

7 M

5(e) Explain different modes of failure of a column subjected to axial load.

7 M

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