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

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

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

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)

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 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 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

Tresca or maximum-shear stress criteria assumes that yielding occurs when the maximum shear stress reaches a value of the shear stress in the uniaxial tension test. Assume the principal stress being σ1, σ2, σ3 where σ1 is largest, and σ3 is the smallest principal stresses. Find the value of minimum shear stress to cause yielding, given that yield stress in tension is equal to σo?

A

τ = σo

B

τ = σo/2

C

τ = σo/3

D

τ = σo/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

From an alloy, two specimens are machined and tested separately under tension and compression. The engineering stress-strain curves as well as the true stress-true strain curves for tension and compression are plotted in the same diagram. Identify the correct statements:
P. The engineering stress-strain curves in tension and compression are identical.
Q. The true stress-true strain curve in compression is lower than the true stresstrue strain curve in tension due to Bauschinger effect.
R. The true stress-true strain curve in tension is above the corresponding engineering stress-strain, curve.
S. The true stress-true strain curve in tension and compression are identical.

A

P, Q

B

Q, R

C

Q, S

D

R, S

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

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