A thin cylindrical shell of diameter (d), length ($$l$$) and thickness (t) is subjected to an internal pressure (p). The hoop stress in the shell is

Consider the following statements for a thick-walled cylinder, subjected to an internal 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?

A

1 and 4

B

1 and 3

C

2 and 3

D

2 and 4

A thin cylindrical shell of diameter (d), length ($$l$$) and thickness (t) is subjected to an internal pressure (p). The ratio of longitudinal strain to hoop strain is

A

$$\frac{{{\text{m}} - 2}}{{2{\text{m}} - 1}}$$

B

$$\frac{{2{\text{m}} - 1}}{{{\text{m}} - 2}}$$

C

$$\frac{{{\text{m}} - 2}}{{2{\text{m}} + 1}}$$

D

$$\frac{{2{\text{m}} + 1}}{{{\text{m}} - 2}}$$

A thin cylindrical shell of diameter (d) length ($$l$$) and thickness (t) is subjected to an internal pressure (p). The longitudinal stress in the shell is

A

$$\frac{{{\text{pd}}}}{{\text{t}}}$$

B

$$\frac{{{\text{pd}}}}{{2{\text{t}}}}$$

C

$$\frac{{{\text{pd}}}}{{4{\text{t}}}}$$

D

$$\frac{{{\text{pd}}}}{{6{\text{t}}}}$$

A thin spherical shell of internal diameter d is subjected to an internal pressure p. If $${\sigma _{\text{t}}}$$ is the tensile stress for the shell material, then thickness of shell is equal to

A

$$\frac{{{\text{pd}}}}{{{\sigma _{\text{t}}}}}$$

B

$$\frac{{{\text{pd}}}}{{2{\sigma _{\text{t}}}}}$$

C

$$\frac{{{\text{pd}}}}{{3{\sigma _{\text{t}}}}}$$

D

$$\frac{{{\text{pd}}}}{{4{\sigma _{\text{t}}}}}$$

In a thin cylindrical shell subjected to an internal pressure p, the ratio of longitudinal stress to the hoop stress is

A

$$\frac{1}{2}$$

B

$$\frac{3}{4}$$

C

1

D

1.5

The hoop stress in a riveted cylindrical shell of diameter (d), thickness (t) and subjected to an internal pressure (p) is (where $$\eta $$ = Efficiency of the riveted joint)

A

$$\frac{{{\text{pd}}}}{{{\text{t}}\eta }}$$

B

$$\frac{{{\text{pd}}}}{{2{\text{t}}\eta }}$$

C

$$\frac{{{\text{pd}}}}{{4{\text{t}}\eta }}$$

D

$$\frac{{{\text{pd}}}}{{8{\text{t}}\eta }}$$

When a thin cylindrical shell is subjected to an internal pressure, the volumetric strain is (where ε₁ = Hoop strain and ε₂ = Longitudinal strain)

A

2ε₁ - ε₂

B

2ε₁ + ε₂

C

2ε₂ - ε₁

D

2ε₂ + ε₁

A boiler shell 200 cm diameter and plate thickness 1.5 cm is subjected to internal pressure of 1.5 MN/m², then the hoop stress will be

A

30 MN/m²

B

50 MN/m²

C

100 MN/m²

D

200 MN/m²

A thin spherical shell of diameter (d) and thickness (t) is subjected to an internal pressure (p). The stress in the shell material is

A

$$\frac{{{\text{pd}}}}{{\text{t}}}$$

B

$$\frac{{{\text{pd}}}}{{2{\text{t}}}}$$

C

$$\frac{{{\text{pd}}}}{{4{\text{t}}}}$$

D

$$\frac{{{\text{pd}}}}{{8{\text{t}}}}$$

A thin spherical shell of internal diameter d is subjected to an internal pressure p. If V is the storage capacity of shell, then its diameter will be

A

$${\left( {\frac{{6{\text{V}}}}{\pi }} \right)^{\frac{1}{2}}}$$

B

$${\left( {\frac{{6{\text{V}}}}{\pi }} \right)^{\frac{1}{3}}}$$

C

$${\left( {\frac{{6{\text{V}}}}{\pi }} \right)^2}$$

D

$${\left( {\frac{{6{\text{V}}}}{\pi }} \right)^3}$$

A thin cylindrical shell of diameter (d), length ($$l$$) and thickness (t) is subjected to an internal pressure (p). The hoop stress in the shell is

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