A thick cylindrical shell having r<sub>o</sub> and r<sub>i</sub> 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 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 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 tangential stress in compound cylinder. b) +3.75 c) -3.75 d) -3.75

A

-6.75

B

(45/r) ² + 1

C

(45/r) ² + 1

D

(45/r) ² + 1

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. Calculate the tangential stress due to shrink shift in inner tube. b) -3.04 c) -3.04 d) +3.04

A

+3.04

B

1+ (15/r) ²

C

1+ (15/r) ²

D

1+ (15/r) ²

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

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)

The maximum tangential stress in a thick cylindrical shell is always _________ the internal pressure acting on the shell.

A

Equal to

B

Less than

C

Greater than

D

None of these

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. Calculate the radial stress due to shrink shift in inner tube. b) -3.04 c) -3.04 d) +3.04

A

+3.04

B

1-(15/r) ²

C

1-(15/r) ²

D

1-(15/r) ²

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. Calculate the tangential stresses due to shrink shift in jacket. b) 1.824 c) -1.824 d) None of the listed

A

+2.56

B

(45/r) ² – 1

C

(45/r) ² – 1

D

(45/r) ² – 1

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

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 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

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