A rigid bar BED, attached to two vertical rods AB (steel) and CD (aluminium), is horizontal priorto being subjected with a vertical point load P acting downwards at point E, as shown in FigureQ3. Given that P=40 kN and Young's modulus for aluminium and steel are 70 GPa and 200 GPa,respectively, determine the distance for load P to be applied from point B, x, such thata)b)vertical displacement of rod CD equals to that of rod AB.normal strain in rod CD is twice of that in rod AB.BALAB = 3.0 mAAB350 mm²XE5 mPFigure Q3CLCD = 2.0 mACD=550 mm²D

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Answered: A rigid bar BED, attached to two…

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter3: Torsion

Section: Chapter Questions

Problem 3.3.18P: A vertical pole of solid, circular cross section is twisted by horizontal forces P = 5kN acting at...

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A vertical pole of solid, circular cross section is twisted by horizontal forces P = 5kN acting at the ends of a rigid horizontal arm AB (see figure part a). The distance from the outside of the pole to the line of action of each force is c = 125 mm (sec figure part b) and the pole height L = 350 mm. (a) If the allowable shear stress in the pole is 30 MPa, what is the minimum required diameter dminof the pole? (b) What is the torsional stiffness of the pole (kN · m/rad)? Assume that G = 28 GPa. (c) If two translation al springs, each with stiffness k =2550 kN/m, are added at 2c/5 from A and B (see figure part c), repeat part (a) to find dmin. Hint: Consider the pole and pair of springs as "springs in parallel."

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