Related Questions

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 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 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 $${\left( {\frac{{6{\text{V}}}}{\pi }} \right)^3}$$
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
The ratio of circumferential stress to longitudinal stress in a thin cylinder subjected to an internal pressure is
A $$\frac{1}{2}$$
B 1
C 2
D 4

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