In Problem, let it be assumed that the threads stop immediately above the nut.In an assemb...

In Problem, let it be assumed that the threads stop immediately above the nut.

In an assembly with loading arrangement equivalent to Fig. 5-8, the bolt is in.-16UNF, and the total load varies from 2000 to 10,000 lb. The material in the bolt tests σult = 130,000 psi and σyp = 110,000 psi, with stress concentration factor for the threads equal to 3.85. Let the factor of safety based on the yield point be 2, and let E for both part and bolt be equal to 30,000,000 psi. The threads are machined. The cross-sectional area of the part is equal to 1.25 in.2

(a) Draw the working-stress triangle for the bolt material, and plot the stresses when there is no initial stress in the bolt.

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(b) If the initial force in the bolt is 8000 lb, plot the stress values for the bolt on the working-stress triangle.

It will be necessary to determine whether or not the part will have a compressive force when the maximum load is acting. Should all the initial compression be removed, the force in the bolt will have the same value as the load.

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(c) Repeat part (b) with an initial bolt force of 13,000 lb. Note the effect of excessive initial stress.

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(d) Suppose the bolt is made of steel, but the part is made of aluminum, E = 10,000,000 psi. Plot the stress values for the bolt if other data are the same as in part (b).

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(e) Suppose the bolt were turned to the stress area of the thread over its entire length except for the nut. Plot the stress values for the bolt; other data are the same as in part (b).