In a thick cylindrical shell subjected to an internal pressure (p), the radial stress across the thickness of the cylinder 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

In a thick cylindrical shell subjected to an internal pressure (p), the tangential stress across the thickness of a cylinder is

A

Maximum at the outer surface and minimum at the inner surface

B

Maximum at the inner surface and minimum at the outer surface

C

Maximum at the outer surface and zero at the inner surface

D

Maximum at the inner surface and zero at the outer surface

In a thick cylindrical shell subjected to an internal pressure (p), the maximum radial stress at the inner surface of the shell is

A

Zero

B

p (tensile)

C

-p (compressive)

D

2p (tensile)

A high pressure cylinder consists of a steel tube with inner and outer diameters 30 and 60mm respectively. It is jacketed by an outer steel tube, having an outer diameter of 90mm. Maximum principal stress induced is 80N/mm². In service the cylinder is further subjected to an internal pressure of 25MPa. Calculate the radial stress in compound cylinder. b) +3.75 c) -3.75 d) +3.75

A

-3.75

B

(45/r) ² – 1

C

(45/r) ² – 1

D

(45/r) ² – 1

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

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

“What is the different between height and radius of solid cylinder?” Which of the following option is sufficient alone to find the answer? A) A solid cylinder is made by melting a solid sphere. The radius of cylinder is 3 times the radius of a circle whose area is 154 sq.m. Height of cylinder is equal to the height of cone whose volume is 2772 cubic meters. B) Area of a rectangle whose longer side is ¾ times the radius of a solid cylinder, is 168 sq.m and, Volume of solid cylinder is 2772 cubic meters and its height is 18 m. C) A metallic cone of radius 15m and height 35m is melted into the solid cylinder of radius equal to the radius of a circle whose area is equal to the area of rectangle whose sides are in the ratio 4 : 3 respectively. D) The curved surface area of the solid cylinder is 3 time the surface area of a sphere of radius 7m and height of cylinder is equal to the height of a metallic cone whose curved surface area is 308 sq.m.

A

Only A and B

B

Only B and C

C

Only B

D

All A, B, C and D

E

None of A, B, C and D

A thick cylindrical shell having ro and ri as outer and inner radii, is subjected to an internal pressure (p). The maximum tangential stress at the inner surface of the shell is

A

$$\frac{{{\text{r}}_{\text{o}}^2 - {\text{r}}_{\text{i}}^2}}{{2{\text{pr}}_{\text{i}}^2}}$$

B

$$\frac{{2{\text{pr}}_{\text{i}}^{\text{2}}}}{{{\text{r}}_{\text{o}}^2 - {\text{r}}_{\text{i}}^2}}$$

C

$$\frac{{{\text{p}}\left( {{\text{r}}_{\text{o}}^2 + {\text{r}}_{\text{i}}^2} \right)}}{{{\text{r}}_{\text{o}}^2 - {\text{r}}_{\text{i}}^2}}$$

D

$$\frac{{{\text{p}}\left( {{\text{r}}_{\text{o}}^2 - {\text{r}}_{\text{i}}^2} \right)}}{{{\text{r}}_{\text{o}}^2 + {\text{r}}_{\text{i}}^2}}$$

A thick cylindrical shell having r_o and r_i as outer and inner radii, is subjected to an internal pressure (p). The maximum tangential stress at the inner surface of the shell is

A

$$\frac{{{\text{r}}_{\text{o}}^2 - {\text{r}}_{\text{i}}^2}}{{2{\text{pr}}_{\text{i}}^2}}$$

B

$$\frac{{2{\text{pr}}_{\text{i}}^{\text{2}}}}{{{\text{r}}_{\text{o}}^2 - {\text{r}}_{\text{i}}^2}}$$

C

$$\frac{{{\text{p}}\left( {{\text{r}}_{\text{o}}^2 + {\text{r}}_{\text{i}}^2} \right)}}{{{\text{r}}_{\text{o}}^2 - {\text{r}}_{\text{i}}^2}}$$

D

$$\frac{{{\text{p}}\left( {{\text{r}}_{\text{o}}^2 - {\text{r}}_{\text{i}}^2} \right)}}{{{\text{r}}_{\text{o}}^2 + {\text{r}}_{\text{i}}^2}}$$

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 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

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

In a thick cylindrical shell subjected to an internal pressure (p), the radial stress across the thickness of the cylinder is

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