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 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

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

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

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

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

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 longitudinal stress in a riveted cylindrical shell of diameter (d), thickness (t) and subjected to an internal pressure (p) is

A

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

B

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

C

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

D

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

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

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

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

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

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

Circumferential (hoop) stress in a thin cylindrical vessel under internal pressure is __________ the longitudinal stress.

A

Half

B

Equal to

C

Twice

D

Eight times

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

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