Strength of Materials I Gate Questions I Quiz I Gate important Questions I SOM Quiz

 Strength of Materials | Gate Questions | Quiz | Gate important Questions | SOM Quiz

1.

A solid shaft is to transmit 20 kW at 200 r.p.m. The ultimate shear stress for the shaft material is 360 MPa and the factor of safety is 8. The diameter of the solid shaft shall be

42 mm

45 mm

48 mm

51 mm

2.

A 10 mm diameter bar of mild steel of elastic modulus 200 x 10^9 Pa is subjected to a tensile load of 50000 N, taking it just beyond its yield point. The elastic recovery of strain that would occur upon removal of tensile load will be

1.38 x 10^(-3)

2.68 x 10^(-3)

3.18 x 10^(-3)

4.62 x 10^(-3)

3.

A thin cylindrical pressure vessel and a thin spherical pressure vessel have the same mean radius, same wall thickness and are subjected to same internal pressure. The hoop stresses set up in these vessels (cylinder in relation to sphere) will be in the ratio

1:2

1:1

2:1

4:1

4.

A beam ofrectangular section (12 cm wide x 20 cm deep) is simply supported over a span of 12 m. It is acted upon by a concentrated load of 80 kN at the mid-span. The maximum bending stress induced is

400 MPa

300 MPa

200 MPa

100 MPa

5.

In the design of beams for a given strength, consider that the conditions of economy of use of the material would avail as follows: 1. Rectangular cross-section is more economical than square section of the same cross-sectional area of the beam. 2. Circular section is more economical than square section. 3. I-section is more economical than a rectangular section of the same depth. Which of the above are correct?

1,2and3

1 and 2 only

2 and 3 only

1 and 3 only

6.

An isotropic elastic material is characterized by

two independent moduli of elasticity along two mutually perpendicular directions

two independent moduli of elasticity along two mutually perpendicular directions and Poisson's ratio

a modulus of elasticity, a modulus of rigidity and Poisson's ratio

any two out of a modulus of elasticity, a modulus of rigidity and Poisson's ratio

7.

Consider the following statements for a thick-walled cylinder, subjected to an intemal pressure: 1.Hoop stress is maximum at the inside radius. 2.Hoop stress is zero at the outside radius. 3.Shear stress is maximum at the inside radius. 4.Radial stress is uniform throughout the thickness of the wall. Which of the above statements are correct?

1 and 4

1 and 3

2 and 3

2and4

8.

Two solid shafts A and B are made of the same material. Shaft A is of 50 mm diameter and shaft B is of 100 mm diameter. The strength of shaft B is

2 times as that of shaft A

6 times as that of shaft A

4 times as that of shaft A

8 times as that of shaft A

9.

A long column hinged at both the ends has certain critical Euler's buckling load-carrying capacity. If the same column be fixed at both the ends (in place of hinged ends), the load-carrying capacity then increases to

4 times

3 times

2 times

Nil

10.

A tension member of square cross-section of side 10 mm and Young's modulus E is to be replaced by another member of square cross-section of same length but Young 's modulus E/2. The side of the new square cross-section, required to maintain the same elongation under the same load, is nearly

14 mm

17 mm

8 mm

5 mm

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