In a thick cylindrical shell subjected to an internal pressure (p), the maximum radial 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 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

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

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 radial stress across the thickness of the 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 arid zero at the outer surface

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

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 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 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: The basic reason why shafts are made of steel and its alloys is: 1. The shaft is subjected to normal stress. 2. The shaft stress alternates with respect to time. 3. The shaft is subjected to pure compressive stress. 4. The shaft is subjected to the stress of constant intensity. Which of these statements are correct?

A

1 and 2

B

2 and 3

C

3 and 4

D

4 and 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 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

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

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