# Question: An engineer is forced by geometric considerations

An engineer is forced by geometric considerations to apply the torque on the spring of Prob. 4–3 at the location x = 0.2l. For a uniform-diameter spring, this would cause the long leg of the span to be underutilized when both legs have the same diameter. If the diameter of the long leg is reduced sufficiently, the shear stress in the two legs can be made equal. How would this change affect the allowable angle of twist, the largest torque, and the spring rate?

## Relevant Questions

A bar in tension has a circular cross section and includes a conical portion of length l , as Shown, the task is to find the spring rate of the entire bar. Equation (4–4) is useful for the outer portions of diameters d1 ...Using the results of Prob. 4–9, determine the end contraction of the uniformly loaded cantilever beam of appendix Table A–9–3.The cantilever shown in the figure consists of two structural-steel channels size 3 in, 5.0 lbf/ft. Using superposition, find the deflection at A.Determine the maximum deflection of the shaft of Prob. 4–24.Prove that for a uniform-cross-section beam with simple supports at the ends loaded by a single concentrated load, the location of the maximum deflection will never be outside the range of 0.423l ≤ x ≤ 0.577l ...Post your question