ON 3 A brass rod AD (see figure) has a cross-sectional area of A- 250 mm' and is loaded by forces P 15 kN, P:- 10 kN, and Py-8 kN. The lengths of the segments of the bar are a-2.0 m, b-0.75 m, and c-1.2 m. Assuming that the modulus of elasticity E-110 GPa, 3.1 Calculate the change in length of the bar. Does the bar elongate or shorten? (6) 3.2 By what amount should the load P, be increased so that the bar does not change in length when the three loads are applied? (3) 3.3 If P, remains at 5780 N, what revised cross-sectional area for segment AB will result in no change of length when all three loads are applied? (3) (12) P A B 20 0-

ON 3 A brass rod AD (see figure) has a cross-sectional area of A- 250 mm' and is loaded by forces P 15 kN, P:- 10 kN, and Py-8 kN. The lengths of the segments of the bar are a-2.0 m, b-0.75 m, and c-1.2 m. Assuming that the modulus of elasticity E-110 GPa, 3.1 Calculate the change in length of the bar. Does the bar elongate or shorten? (6) 3.2 By what amount should the load P, be increased so that the bar does not change in length when the three loads are applied? (3) 3.3 If P, remains at 5780 N, what revised cross-sectional area for segment AB will result in no change of length when all three loads are applied? (3) (12) P A B 20 0-

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter2: Axially Loaded Members

Section: Chapter Questions

Problem 2.3.3P: An aluminum bar AD (see figure) has a cross-sectional area of 0.40 in- and is loaded by Forces Pi=...

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