**Roll No. ......................**

**Total No. of Questions : 09]**

**B. Tech. (Sem. – 3rd)**

**MECHANICS OF MATERIALS**

**SUBJECT CODE : BTAE-301**

**Paper ID : [A1112]**

**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 do you mean by Poisson’s Ratio?

(b) Define Hoop Stress and Longitudinal
Stress.

(c) Write down the formula of power
transmitted by hollow shaft subjected

to pure torsion.

(d) What do you understand by Principle
Stress?

(e) Define Slenderness Ratio.

(f) What do you mean by Temperature Stress?

(g) What do you understand by Fletched
beam?

(h) State Maximum shear stress theory of
failure.

(i) Define shear stress. Write the formula
of maximum shear stress in a

circular section
beam.

(j) Calculate the maximum bending moment in
a simply supported beam

of length 5m and
carrying a concentrated load of intensity 10 N at the centre.

**SECTION-B**

2.
Draw the shear force diagram and bending moment diagram for a simply

supported
beam having uniformly distributed load over its whole span.

3.
A thin cylinder 2m long. 0.5 m in diameter and made out of 10 mm thick

steel
plate is subjected to an internal pressure of 2MPa. Calculate the change in
diameter and change in length under pressure. Take Young’s Modulus as 200GPa
and Poisson’s Ratio 0.25.

4.
Show that the elongation of conical bar of length ‘L’ and base diameter

‘D’
under its own weight is given by gL2/6E. Where. E is Young’s

Modulus,
density of material is and g is acceleration due to gravity.

5.
A hollow circular shaft is required to transmit 500 kW of power at

100
rpm. Determine, the diameters of shaft if the inside diameter is

0.8
times the outside diameter. Take allowable shear stress as 75 MPa.

6.
Derive an expression for the crippling load for a both end fixed column,

according
to Euler’s theory. State the assumptions made.

**SECTION-C**

7.
A solid circular shaft is required to carry a torque of 40 kNm and a

bending
moment of 30 kNm. If yield stress in a simple tensile test on the

material
of the shaft was found to be 260 N/mm2. Find the minimum

required
diameter of the shaft according to

(a)
shear stress theory

(b)
von-Misses Theory

Take
a factor of Safety = 2.5.

8.
A beam simply supported over a span of 10 m carries concentrated loads

of
40 kN. 20 kN and 60 kN at 2m. 5m and 9m from the left end

support.
Determine the position and amount of maximum deflection in the

beam by using Macaulay’s Method. Take I =
695 × 10

^{6}mm^{4}and
E = 200 GPa

9.
What do you mean by pure Bending? Derive the Bending equation for a

## 0 comments:

Post a Comment