Mechanics of Materials Question Paper of 3rd Semester AE Download Previous Years Question Paper 3

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.

SECTION-A

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

    helical spring?

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?

SECTION-B

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.

SECTION-C

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.