Question

A cylinder is internally pressurized to a pressure of 100 MPa. This causes tangential and axial stresses in the outer surface of 400 and 200 MPa, respectively. Make a Mohr circle representation of the stresses in the outer surface. What maximum normal and shear stresses are experienced by the outer surface?

Answer 1

`\mu_(max)=200Mpa`

Step-by-step explanation:

From the question we are told that:

Internally pressurized
`P_i=100MPa`

Tangential Stress
`P_t=400mpa`

Axial stress
`P_a=200mpa`

Generally the equation for maximum normal and shear stresses are experienced by the outer surface is mathematically given by

`\mu_(max)=|(P_t-P_a)/(2)|,|(P_t)/(2)|,|(P_t)/(2)|`

Therefore

`\mu_(max)=|(400-200)/(2)|,|(400)/(2)|,|(200)/(2)|`

`\mu_(max)=200Mpa`