(Solved): The vessel has inner radius \( r=2.0 \mathrm{~m} \) and wall thickness \( t=20 \mathrm{~mm} \). Th ...

The vessel has inner radius \( r=2.0 \mathrm{~m} \) and wall thickness \( t=20 \mathrm{~mm} \). The material is steel with modulus \( E=200 \mathrm{GPa} \) and Poisson's ratio \( \mathrm{n}=0.30 \). The internal pressure \( p \) is \( 800 \mathrm{kPa} \). 1) Calculate \( \sigma_{1} \) and \( \sigma_{2} \) 2) Calculate the maximum shear stress, using Mohr's circle 3) Calculate \( \sigma_{x 1}, \sigma_{y 1} \), and \( \tau_{x 1 y 1} \), using Mohr's circle 4) Calculate \( \varepsilon_{x_{1}}, \varepsilon_{y_{1}} \), and \( \gamma_{x_{1} 11} \), using Hooke's law.