If p₁ and p₂ are mutually perpendicular principal stresses acting on a soil mass, the normal stress on any plane inclined at angle θ° to the principal plane carrying the principal stress p₁, is:

If p₁ and p₂ are mutually perpendicular principal stresses acting on a soil mass, the normal stress on any plane inclined at angle $${\theta ^ \circ }$$ to the principal plane carrying the principal stress p₁, is:

A

$$\frac{{{{\text{p}}_1} - {{\text{p}}_2}}}{2} + \frac{{{{\text{p}}_1} + {{\text{p}}_2}}}{2}\sin \,2\theta $$

B

$$\frac{{{{\text{p}}_1} - {{\text{p}}_2}}}{2} + \frac{{{{\text{p}}_1} + {{\text{p}}_2}}}{2}\cos\,2\theta $$

C

$$\frac{{{{\text{p}}_1} + {{\text{p}}_2}}}{2} + \frac{{{{\text{p}}_1} - {{\text{p}}_2}}}{2}\cos\,2\theta $$

D

$$\frac{{{{\text{p}}_1} + {{\text{p}}_2}}}{2} + \frac{{{{\text{p}}_1} - {{\text{p}}_2}}}{2}\sin \,2\theta $$

The given figure shows the Mohr's circle of stress for two unequal and like principal stresses (σx and σy) acting at a body across two mutually perpendicular planes. The normal stress on an oblique section making an angle θ with the minor principle plane is given by

A

OC

B

OP

C

OQ

D

PQ

The given figure shows the Mohr's circle of stress for two unequal and like principal stresses (σ_x and σ_y) acting at a body across two mutually perpendicular planes. The normal stress on an oblique section making an angle θ with the minor principle plane is given by
Strength of Materials mcq question image

Strength of Materials mcq question image

A

OC

B

OP

C

OQ

D

PQ

Consider the following statements: X. Two-dimensional stresses applied to a thin plater in its own plane represent the plane stress condition. Y. Normal and shear stresses may occur simultaneously on a plane. Z. Under plane stress condition, the strain in the direction perpendicular to the plane is zero. Which of the above statements are correct?

A

2 only

B

1 and 2

C

2 and 3

D

1 and 3

If a body is subjected to stresses in xy plane with stresses of 60N/mm² and 80N/mm² acting along x and y axes respectively. Also the shear stress acting is 20N/mm². Find the maximum normal stress.

A

90

B

92.4

C

94.2

D

96

If a body is subjected to stresses in xy plane with stresses of 60N/mm² and 80N/mm² acting along x and y axes respectively. Also the shear stress acting is 20N/mm². Find the minimum normal stress.

A

45.4

B

47.6

C

48.2

D

50.6

This are the following statements given regarding satellite’s motion a. A satellite in geostationary orbit lies in the same plane with equator b. A satellite in geosynchronous orbit lies in the same plane with equator c. A satellite in geostationary orbit does not lie in the same plane with equator, it is inclined at some angle from plane of equator d. A satellite in geosynchronous orbit does not lie in the same plane with equator, it is inclined at some angle from plane of equator Choose one of the following options

A

Both option a and b are correct

B

Both option a and c are correct

C

Both option a and d are correct

D

Both option b and c are correct

If a body is subjected to stresses in xy plane with stresses of 60N/mm² and 80N/mm² acting along x and y axes respectively. Also the shear stress acting is 10N/mm². Find the inclination of the plane in which shear stress is maximal.

A

45’

B

30’

C

60’

D

15’

The given figure shows the Mohr's circle of stress for two unequal and like principal stresses (σx and σy) acting at a body across two mutually perpendicular planes. The resultant stress is given by

A

OC

B

OP

C

OQ

D

PQ

The given figure shows the Mohr's circle of stress for two unequal and like principal stresses (σ_x and σ_y) acting at a body across two mutually perpendicular planes. The resultant stress is given by
Strength of Materials mcq question image

A

OC

B

OP

C

OQ

D

PQ

If p₁ and p₂ are mutually perpendicular principal stresses acting on a soil mass, the normal stress on any plane inclined at angle θ° to the principal plane carrying the principal stress p₁, is:

Related Questions