Answer:
largest shear stress = 239 N/mm²
Explanation:
Given data
cross section d = 25 mm
torque load T = 25 N·m
shear force V = 85 kN
to find out
largest shear stress
solution
we know that maximum shear stress due to load = 16T / πd³
maximum shear stress = 16 ( 25) [tex]10^{3}[/tex] / π(25)³
maximum shear stress = 8.148 N/mm² ........................1
maximum shear stress due to force = 14/3 × avg shear stress
maximum shear stress due to force = 14 × 85 ×[tex]10^{3}[/tex] / (3 ×π/4×25²)
maximum shear stress due to force = 230.88 N/mm² ..................2
so
largest shear stress add equation 1 and 2
largest shear stress = 8.148 + 230.88
largest shear stress = 239 N/mm²
