Monday, August 29, 2016
Roll No. ......................
Total No. of Questions : 09]
B. Tech. (Sem. – 3rd)
MECHANICS OF MATERIALS
SUBJECT CODE : AE – 201
Paper ID : [A0701]
Time : 03 Hours
Instruction to Candidates:
1. SECTION-A is COMPULSORY consisting of TEN questions carrying
TWO marks each.
2. SECTION-B contains FIVE questions carrying FIVE marks each and
students has to attempt any FOUR questions.
3. SECTION-C contains THREE questions carrying TEN marks each and
students has to attempt any TWO questions.
1. Write briefly :
a. What are different types of strains?
b. What is the main difference between the stress-strain diagrams for
ductile and brittle materials?
c. What is the application of Mohr’s circle?
d. What is meant by Point of Contra flexure?
e. Four springs are in series. How will you find out the equivalent
stiffness of this system?
f. What is the main difference between closed coil and opened coil
g. Give real life examples of a cantilever beam.
h. What is double integration method?
i. Write about possible applications of Rankine's formula.
j. What is meant by crippling load?
2. A bar of varying cross-section has a uniform taper. Derive the formula for
strain and deflection in the bar.
3. Show the application of Mohr's circle to a compound stress condition.
4. Sketch the bending moment and shear force diagrams for following cases:
(i) Simply supported beam with a concentrated load at the mid span.
(ii) Simply supported beam with uniformly distributed load over whole of its span.
5. Derive tensional formula and show its application to a hollow shaft.
6. Derive Euler’s formula for a column.
7. Draw the shaear force and bending moment diagrams for a beam shown
below. All loads are in kN and all distances are in m.
8. A beam of 3 m length is simply supported at ends. It carries uniformly
distributed load of 4 kN/m over whole of its length in addition to negative
bending couples of 2kNm at each end. Taking El = 6 × 106 Nm2 , find the mid span deflection,
9. For a line shaft running at 200 rpm and of 5 cm diameter throughout its
length, a torque of 200 Nm is applied at B. Torques taken off from the
shaft to various machines from sections A, C and D are 100 Nm, 20 Nm
and 80 Nm respectively. Show variation of torque, surface shear stress
and relative angle of twist along the length of the shaft. What is the
maximum shear stress and the angle of twist between the ends of the
shaft ? Take G = 80 GPa. Neglect bending of shaft.
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