Table 9-1 shows weld patterns, and relevant information for calculating stresses
ID: 2996617 • Letter: T
Question
Table 9-1 shows weld patterns, and relevant information for calculating stresses in torsion. Compare welds 2,4 and 5. Let b = d, and let the total throat area of each weld be the same (i.e. if the size of weld 5 is ho, then the size of weld 2 is 2 hQ, and the size of weld 4/3 h0). Which weld will have the highest max stress for a given torque T? Weld 2 has higher max stress than the others Weld 4 has higher max stress than the others Weld 5 has higher max stress than the others They all have the same max stress None of the aboveExplanation / Answer
We know
Shear stress = T*a/J
Where a is distance from centroid to maximum shear stress location ( largest distance from the centroid)
1)
A1 = A5
0.707*h1*d = 1.414*2*d*h0
h1 = 4*h0
J = d^3/12
a = d/2
Shear stress = 6*T/d^2
2)
h2 = 2*h0
J = (2/3)*d^3
a = d/2
Shear Stress = 0.75*T/d^2
3)
0.707*h3*2*d = 1.414*2*d*h0
h3 = 2*h0
J = (5/12)*d^3
a = 3/4*d
Shear stress = 1.8*T/d^2
4)
h4 = (4/3)*h0
J = (11/12)*d^3
a = 2/3*d
Shear stress = 0.727*T/d^2
5)
h5 = h0
J = (4/3)*d^3
a = d/2
Shear stress = 0.375*T/d^2
Therefore
Weld 2 has Shear stress of 0.75*T/d^2
Weld 4 has Shear stress of 0.727*T/d^2
Weld 5 has Shear stress of 0.375*T/d^2
Therefore OPTION A
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