# Question

A torsion-bar spring consists of a prismatic bar, usually of round cross section, that is twisted at one end and held fast at the other to form a stiff spring. An engineer needs a stiffer one than usual and so considers building in both ends and applying the torque somewhere in the central portion of the span, as shown in the figure. If the bar is uniform in diameter, that is, if d = d1 = d2, investigate how the allowable angle of twist, the largest torque, and the spring rate depend on the location x at which the torque is applied. Hint: Consider two springs in parallel.

## Answer to relevant Questions

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 ...When an initially straight beam sags under transverse loading, the ends contract because the neutral surface of zero strain neither extends nor contracts. The length of the deflected neutral surface is the same as the ...Using the formulas in Appendix Table A–9 and superposition, find the deflection of the cantilever at B if I = 13 in4 and E = 30 Mpsi.A shaft is to be designed so that it is supported by roller bearings. The basic geometry is shown in the figure. The allowable slope at the bearings is 0.001 mm/mm without bearing life penalty. For a design factor of 1.28, ...Consider the simply supported beam with a uniform load in Appendix A–9–7. Determine the deflection equation if the stiffness of the left and right supports are k1 and k2, respectively.Post your question

0