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Strength of Materials

Maximum Principal Stress Theory

The limit of ...

Question

The limit of proportionality of a certain steel sample is 300 MPa in simple tension. It is subjected to principal stresses of 150 MPa (tensile), 60 MPa (tensile) and 30 MPa (tensile). According to the maximum principal stress theory, the factor of safety in this case would be

A

10

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B

5

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C

4

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D

2

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Solution

The correct option is D 2
Maximum principal stress = 150 MPa
$F a c t o r o f s a f e t y = \frac{300}{150} = 2$

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