The assumption, generally, made in the theory of simple bending is that

In a simple bending theory, one of the assumptions is that the plane sections before bending remain plane after bending. This assumption means that

A

Stress is uniform throughout the beam

B

Strain is uniform throughout the beam

C

Stress is proportional to the distance from the neutral axis

D

Strain is proportional to the distance from the neutral axis

The bending moment at a section tends to bend or deflect the beam and the internal stresses resist its bending. The resistance offered by the internal stresses, to the bending, is called

A

Compressive stress

B

Shear stress

C

Bending stress

D

Elastic modulus

In a simple bending theory, one of the assumptions is that the material of the beam is isotropic. This assumption means that the

A

Normal stress remains constant in all directions

B

Normal stress varies linearly in the material

C

Elastic constants are same in all the directions

D

Elastic constants varies linearly in the material

The assumption in the theory of bending of beams is:

A

Material is homogeneous

B

Material is isotropic

C

Young’s modulus is same in tension as well as in compression

D

All the above

A shaft is subjected to bending moment M and a torque T simultaneously. The ratio of the maximum bending stress to maximum shear stress developed in the shaft, is

A

$$\frac{{\text{M}}}{{\text{T}}}$$

B

$$\frac{{\text{T}}}{{\text{M}}}$$

C

$$\frac{{2{\text{M}}}}{{\text{T}}}$$

D

$$\frac{{2{\text{T}}}}{{\text{M}}}$$

The bending stress in abeam is __________ bending moment.

A

Equal to

B

Less than

C

More than

D

Directly proportional to

If W is total load per unit area on a panel, D is the diameter of the column head, L is the span in two directions, then the sum of the maximum positive bending moment and average of the negative bending moment for the design of the span of a square flat slab, should not be less than

A

$$\frac{{{\text{WL}}}}{{12}}{\left( {{\text{L}} - \frac{{2{\text{D}}}}{3}} \right)^2}$$

B

$$\frac{{{\text{WL}}}}{{10}}{\left( {{\text{L}} + \frac{{2{\text{D}}}}{3}} \right)^2}$$

C

$$\frac{{{\text{WL}}}}{{10}}{\left( {{\text{L}} - \frac{{2{\text{D}}}}{3}} \right)^2}$$

D

$$\frac{{{\text{WL}}}}{{12}}{\left( {{\text{L}} - \frac{{\text{D}}}{3}} \right)^2}$$

The bending moment ‘M’ and a torque ‘T’ is applied on a solid circular shaft. If the maximum bending stress equals to maximum shear stress developed, then ‘M’ is equal to

A

$$\frac{{\text{T}}}{2}$$

B

1T

C

2T

D

4T

A shaft of diameter D is subjected to a twisting moment (T) and a bending moment (M). If the maximum bending stress is equal to maximum shear stress developed, then M is equal to

A

$$\frac{{\text{T}}}{2}$$

B

T

C

2T

D

4T

The assumption made in Euler's column theory is that

A

The failure of column occurs due to buckling alone

B

The length of column is very large as compared to its cross-sectional dimensions

C

The column material obeys Hooke's law

D

All of the above

The assumption, generally, made in the theory of simple bending is that

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