QUESTION 3 A steel bar AD has a cross-sectional area of 260 mm² is illustrated in Figure Q3. The steel bar is loaded by forces P = 12 kN, P2 = 8 kN, and P3 = 6 kN. a) Determine the axial stress in section AB. (2 marks) b) Assuming that the modulus of elasticity E = 210 GPa, calculate the change in length (8) of the bar. (4 marks) c) Determine the new value of load P3 to be applied in the same direction so that the steel bar does not change in length when all three loads are applied. (4 marks) P1 P2 P3 A В С 1.5 m 0.6 m 0.9 m

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 2.4.6P: Three prismatic bars, two of material A and one of material B. transmit a tensile load P (see...
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QUESTION 3
A steel bar AD has a cross-sectional area of 260 mm² is illustrated in Figure Q3. The steel bar is loaded
by forces P = 12 kN, P2 = 8 kN, and P3 = 6 kN.
a) Determine the axial stress in section AB.
(2 marks)
b) Assuming that the modulus of elasticity E = 210 GPa, calculate the change in length (8) of the
bar.
(4 marks)
c) Determine the new value of load P3 to be applied in the same direction so that the steel bar does
not change in length when all three loads are applied.
(4 marks)
P1
P2
| A
В С
P3
|D
1.5 m
0.6 m
0.9 m
Figure Q3
Transcribed Image Text:QUESTION 3 A steel bar AD has a cross-sectional area of 260 mm² is illustrated in Figure Q3. The steel bar is loaded by forces P = 12 kN, P2 = 8 kN, and P3 = 6 kN. a) Determine the axial stress in section AB. (2 marks) b) Assuming that the modulus of elasticity E = 210 GPa, calculate the change in length (8) of the bar. (4 marks) c) Determine the new value of load P3 to be applied in the same direction so that the steel bar does not change in length when all three loads are applied. (4 marks) P1 P2 | A В С P3 |D 1.5 m 0.6 m 0.9 m Figure Q3
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