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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?

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Answer:

[tex]\mu_{max}=200Mpa[/tex]

Explanation:

From the question we are told that:

Internally pressurized [tex]P_i=100MPa[/tex]

Tangential Stress [tex]P_t=400mpa[/tex]

Axial stress [tex]P_a=200mpa[/tex]

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

 [tex]\mu_{max}=|\frac{P_t-P_a}{2}|,|\frac{P_t}{2}|,|\frac{P_t}{2}|[/tex]

Therefore

 [tex]\mu_{max}=|\frac{400-200}{2}|,|\frac{400}{2}|,|\frac{200}{2}|[/tex]

 [tex]\mu_{max}=200Mpa[/tex]

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