Question

For a rivetted thin cylindrical shell of internal diameter (d), thickness of shell wall (t) and internal pressure (P) with efficiency of longitudinal joint (μi); the hoop stress (σc) will be given by:

• A. $$\sigma_{c}=\frac{Pd}{2t}$$
• B. $$\sigma_{c}=\frac{Pd}{4t}$$
• C. $$\sigma_{c}=\frac{Pd}{2t\mu_{l}}$$
• D. $$\sigma_{c}=\frac{Pd}{4t\mu_{l}}$$

Answer 1

Answer:

$$\sigma_{c}=\frac{Pd}{2t\mu_{l}}$$

For a thin-walled cylindrical shell with internal diameter (d) and wall thickness (t), the circumferential stress ($\sigma_{c}$) is given by $\sigma_{c} =\frac{P d}{ 2 t}$ The longitudinal stress ($\sigma_{i}$) is half of the circumferential stress. If the shell is made up of joined riveted plates with the efficiency of a longitudinal joint ($\mu_{l}$) then $\sigma_{c} =\frac {Pd}{2t\mu_{l}}$. The efficiency of the circumferential joint ($\mu_{c}$) affects the longitudinal stress, which is$\sigma_{l} = \frac{Pd}{4t\mu_{l}}$. The ratio of thickness to radius should be less than 0.1 for a thin-walled cylinder.