Mechanics of Materials Past Papers and important Questions

By: Prof. Fazal Rehman Shamil

Mechanics of Materials Past Papers 1

Paper: Mechanics of Materials

Time Allowed: 3 hours


Total Marks:    70, Passing Marks (35)

Q1. Fill in the blanks: (Topic: Simple Stress And Strain)

a. The condition under which the stress is uniform and constant is known as …………………
b. In truss analysis, the method of analyzing joints is referred to as ……………..
c. Axial stresses comprise of …………….. and ……………… stress.
d. Modulus of Elasticity is also known as ………………………
e. The lowest stress at which the material appreciably deforms is called ………………….
f. The Point at which the material enters the ductile stage is called …………….
g. The range of stress strain diagram in which the stress is directly proportional to the strain is called . …………………
h. The range of stress strain diagram in which the stress is not proportional to the strain is called ………………..
i. Immediate failure of ,materials without any permanent deformation is called ………………….
j. Elongation per unit length in a material is called …………………..

Q2. State , Hook’s Law. give an example.

Q3. Define Lateral and Volumetric Strain.

Q4. Derive mathematical relation For section modulus.

Q5. State, Euler theory of buckling of columns.

Q6. Draw a well-labeled stress-strain curve.

Q7. Sketch shear and moment diagrams for the beam shown in figure a. compute values at all points of load change and maximum shear and maximum moment.

Q8. Write short notes on any two of the following:
a) Stresses due to impact loads.
b) Comment on the stability of long columns and short columns.
c) Define shearing strain. Illustrate in its mathematical form for what each term stands for.

Mechanics of Materials Important Questions from Past Papers 2

Paper: Mechanics of Materials

Time Allowed: 3 hours


Total Marks:    70, Passing Marks (35)

Q. No. 1: Define the following terms.

a) Stress
b) Strain
c) Modulus of Elasticity
d) Factor of Safety
e) Strength
f) Stiffness

Q. No. 2: Draw and explain stress-strain diagram for mild steel specimen.

Q. No. 3: A 500 mm long, 16 mm diameter rod made of a homogenous material is observed to increase in
length by 300 µm, and to decrease in diameter by 3 µm when subjected to an axial 12 KN load.
Determine the Modulus of Elasticity and Poisson’s ratio of the material.

Q. No. 4: A mild steel rod supports a tensile load of 50 KN. If the stress in the rod is limited to 100 MPa, find
the size of the rod when the cross-section is (a) circular (b) square and (c) rectangular with width = 3×

Q. No.5: With the help of diagram derive the elastic torsion formula for a circular shaft and also derive the
formula for the angle of twist.

Q. No.6: Briefly explain the following terms;
a) Polar moment of Inertia
b) Bulk Modulas
c) Torque and Moment
d) Britleness and Ductility
e) Yield and Ultimate Strength

Q. No.7: Briefly explain Column and types of Column and also derive Euler’s Formula for Pin ended Columns.

Q. No.8: Briefly explain Beam, Types of Beams, Load, Types of Load, Support and Types of Support.

Mechanics of Materials Guess Papers 3

Paper: Mechanics of Materials

Time Allowed: 3 hours


Total Marks:    70, Passing Marks (35)

Q1. Fill in the blanks.
1. When a hole of diameter ‘d’ is punched in a metal of thickness `t’, then the force required to punch a hole is equal to __________.
2. When the material is loaded within elastic limit, then the stress is _________ to strain.
3. The ratio of linear stress to linear strain is called _______________.
4. The torsional shear stress on any cross-section normal to the axis is ___________ the distance from the centre of the axis.
5. Rankine’s theory is used for ____________.
6. A machine part is designed as a strut, when it is subjected to ____________________.
7. _____________ is the Mechanical property of a material to resist fracture due to high impact loads like hammer blows.

Q2. Discuss Column and Strut. Also explain failure & classification of columns.

Q3. For the timber beam and loading shown, draw the shear and bending-moment diagrams and determine the maximum normal stress due to bending.

Q4. (a) Buckling or crippling or critical load.
(b) A steel Column is of length 8m and diameter 600mm with both ends hinged. Determine the crippling load by Euler’s formula. Take E= 2.1x105N/mm2.Q5. Discuss Torsion. & derive Torsion Equation.Q6. Discuss stress & strain. Also explain its type & unit in detail with example.

Q.7 A pull of 80 kN is transmitted from a bar X to the bar Y through a pin as shown in Fig.

If the maximum permissible tensile stress in the bars is 100 N/mm2 and the permissible shear stress in the pin is 80 N/mm2, find the diameter of bars and of the pin.Q.8 Write short note on any two of the following:
a. Load and its types.
b. Factor of Safety with example.
c. Modulus of elasticity & Temperature stresses with example.

Prof. Fazal Rehman Shamil