1. Choose the correct alternative:

Modulus of elasticity can be expressed as

E

E 2G(1

E G(1 2v)

E G(1 2v)

If a material has identical properties in all directions it is said to be

homogeneous

isotropic

elastic

orthotropic

When a shear force at a section changes its sign, then bending moment at that section will be

zero

minimum

maximum

infinity

Moment of resistance for a rectangular beam can be expressed as

1/6 a bd^5

1/6 a bd^4

1/6 a bd^3

1/6 a bd^2

A cantilever beam of length carries a uniformly distributed load of intensity ro per unit length over whole span. The slope at its fixed end will be

zero

wl^3/6 EI

wl^4/6 EI

wl^4/8 EI

A shaft revolving at N rpm transmits torque in kNm. The power developed is

2n NT kW

2n NT/60 kW

2n NT/120 kW

2n NT/30 kW

The slenderness ratio of a long column is

10-20

20-30

50 -60

above 80

2. Two parallel walls are stayed together by a steel rod, 10 cm in diameter, passing through metal plates and nuts at both ends. The nuts are tightened, when the rod is at 125°C, to keep the walls 5 m apart. Determine the stresses in the rod when the temperature falls down to if the ends do not yield.

Take E x 10^5 N/mm^2 a =12 x

3. At a point in a material, there is a horizontal tensile stress of 50 N/mm^2 a vertical tensile stress of 30 N/mm^2 and shearing stress of 25 N/mm^2 as shown in Figure 1. Determine the maximum and minimum principal stress and the plane on which they act. Also determine the magnitude of maximum shearing stress.

<img src='./qimages/15360-3.jpg'>

4. A simply supported beam AB of span L is carrying a uniformly distributed load w per unit length over the entire span as shown in Figure 2. Draw the shear force and bending moment diagrams. Also determine the maximum value of shear force and bending moment.

<img src='./qimages/15360-4.jpg'>

5. A rectangular beam of breadth 120 mm and depth 250 mm is simply supported over a span of 5 m. The beam is loaded with a uniformly distributed load of 8 kN/m over the entire span. Find the maximum bending stresses. Also draw the bending stress distribution diagram.

6. A cantilever beam AB of span L is carrying a concentrated load W at the free end B as shown in Figure 3. Calculate the slope. and deflection at the ends A and B.

<img src='./qimages/15360-6.jpg'>

7. Calculate the diameter of a solid shaft transmitting 120 kW at 20 rpm, if the maximum stress in the shaft is not to exceed 60 MPa.

8. A steel bar of rectangular section 36 mm x 50 mm pinned at each end is 5 m long. Determine the buckling load when it is subjected to axial compression using Euler's expression. Take E x 10^5 N/mm^2.