the allowable shearing stress is 15 ksi in the 1.5-in.-diameter steel rod ab and 7.7 ksi in the 1.8-in.-diameter brass rod bc. neglecting the effect of stress concentrations, determine the largest torque t that can be applied at a.

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Answer 1

The largest torque that can be applied at point A without exceeding the allowable shear stress for either rod is T=44.99 k-in.

The largest torque that can be applied at point A can be determined by using the equation for shear stress of a shaft:
τ=T/J
where τ is the shear stress, T is the applied torque, and J is the polar second moment of inertia.

For the 1.5-in.-diameter steel rod AB:
J=(π/32)D4
where D is the diameter of the rod, so for a 1.5-in. rod, J=(π/32)(1.5)4=3.704 in4.

So, the largest torque that can be applied at point A while maintaining a shear stress of 15 ksi is T=(15 ksi)(3.704 in4)=55.56 k-in.

For the 1.8-in.-diameter brass rod BC:
J=(π/32)D4
where D is the diameter of the rod, so for a 1.8-in. rod, J=(π/32)(1.8)4=5.848 in4.

So, the largest torque that can be applied at point A while maintaining a shear stress of 7.7 ksi is T=(7.7 ksi)(5.848 in4)=44.99 k-in.

Therefore, the answer is T=44.99 k-in.

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The cumulative infiltration and infiltration rate on a silty clay soil after one hour of rainfall at 1cm/h with initial effective saturation of 20 percent are 252 cm and 4.21 cm/h, respectively.

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Answer:

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