• # question_answer Circumferential and longitudinal strains in cylindrical boiler under internal steam pressure, are ${{\varepsilon }_{1}}$ and ${{\varepsilon }_{2}}$ respectively. Change in volume of the boiler cylinder per unit volume will be: A) ${{\varepsilon }_{1}}+2{{\varepsilon }_{2}}$               B) ${{\varepsilon }_{1}}+{{\varepsilon }_{2}}^{2}$C) $2{{\varepsilon }_{1}}+{{\varepsilon }_{2}}$               D) ${{\varepsilon }_{1}}^{2}+{{\varepsilon }_{2}}$

${{\varepsilon }_{\theta }}=\frac{1}{E}({{\varepsilon }_{\theta }}-v{{\sigma }_{1}})={{\varepsilon }_{1}}$ ${{\varepsilon }_{2}}=\frac{1}{E}({{\sigma }_{1}}-v{{\sigma }_{\theta }})={{\varepsilon }_{2}}$ $V=\pi dl$ $InV=In\,\pi +2\,In\,d+In\,l$ $\frac{\delta \,V}{V}=2\frac{\delta d}{d}+\frac{\delta l}{l}$ ${{\varepsilon }_{0}}=2{{\varepsilon }_{1}}+{{\varepsilon }_{2}}$