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A lawn mower component experiences critical static stresses of σ x = 45,000 psi, σ y = 25,000 psi, and τ xy = 15,000 psi. The component is made of 4130 normalized steel that has an ultimate strength...

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A lawn mower component experiences critical static stresses of σx = 45,000 psi, σy = 25,000 psi, and τxy = 15,000 psi. The component is made of 4130 normalized steel that has an ultimate strength of 97,000 psi and a yield strength of 63,300 psi. Determine the factor of safety based on predicting failure by the maximum-normal stress theory, the maximum-shear-stress theory, and the distortion energy theory

 

Answered Same Day Dec 25, 2021

Solution

Robert answered on Dec 25 2021
133 Votes
Solution:-
Express the maximum normal stress theory.
2 1/2
1
1
( ) ( ) ( ) ]
2 2
53028
.
63300
1.19
53028
x y x y
xy
y
psi
calculatethe safety factoy
S psi
SF
psi
   
 

 
  

  

Express the maximum shear stress thory.
2 2 1/2
max
max
2 2 2...
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