Question

what is the safe stress if the ultimate stress if a material is 35kg/mm2 and factor of safety is 5​

Answer 1

The ratio of ultimate stress to the working stress is known as factor of safety. Its value is more than one.

Factor of Safety = Ultimate

Stress/Working Stress

Working Stress = Ultimate

Stress/Factor of Safety

Working Stress = 35/5 = 7 kg/mm²

Ans= 7 kg/mm²

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Answer 2

The safe stress = 7 kg/mm²

Given :

The ultimate stress of a material is 35 kg/mm² and factor of safety is 5

To find :

The safe stress

Solution :

Step 1 of 2 :

Write down ultimate stress and factor of safety of the material

Ultimate stress of the material = 35 kg/mm²

Factor of safety = 5

Step 2 of 2 :

Calculate safe stress

We know that ,

$\displaystyle \sf Factor \: of \: safety = \frac{ Ultimate \: stress}{ Safe \: stress}$

Thus we get

$\displaystyle \sf Safe \: stress = \frac{ Ultimate \: stress}{Factor \: of \: safety }$

$\displaystyle \sf{ \implies } Safe \: stress = \frac{ 35}{5} \: \: kg/ {mm}^{2}$

$\displaystyle \sf{ \implies } Safe \: stress = 7 \: \: kg/ {mm}^{2}$

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