An alloy steel bar with a yield stress of 250 MPa and Young's modulus of 200 GPa, is loaded and supported as shown in Figure Q4. The loading collar at B is free to slide on section BC. The diameters of sections AB and CD are 30 mm and the diameter BC is 20 mm. Determine: a) The normal stresses in each section of this alloy steel bar. b) If the maximum stress in the alloy steel bar can be considered as the allowable stress, what is the factor of safety for this bar? c) The horizontal displacement of point C relative to point A.

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 2.10.2P: The flat bars shown in parts a and b of the figure are subjected to tensile forces P = 2.5 kN. Each...
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4. An alloy steel bar with a yield stress of 250 MPa and Young's modulus of 200 GPa, is
loaded and supported as shown in Figure Q4. The loading collar at B is free to slide
on section BC. The diameters of sections AB and CD are 30 mm and the diameter BC
is 20 mm. Determine:
a) The normal stresses in each section of this alloy steel bar.
b)
If the maximum stress in the alloy steel bar can be considered as the allowable
stress, what is the factor of safety for this bar?
c) The horizontal displacement of point C relative to point 4.
4m
30KN
30KN
2m 3m
100KN
-80KN
Figure Q4
[Ans: a) GAB= 56.6 MPa (C), σBC = 63.7 MPa (T), 6cp= 113.2 MPa (C); b) F.S = 2.2; c)
dc = -0.493 mm]
Transcribed Image Text:4. An alloy steel bar with a yield stress of 250 MPa and Young's modulus of 200 GPa, is loaded and supported as shown in Figure Q4. The loading collar at B is free to slide on section BC. The diameters of sections AB and CD are 30 mm and the diameter BC is 20 mm. Determine: a) The normal stresses in each section of this alloy steel bar. b) If the maximum stress in the alloy steel bar can be considered as the allowable stress, what is the factor of safety for this bar? c) The horizontal displacement of point C relative to point 4. 4m 30KN 30KN 2m 3m 100KN -80KN Figure Q4 [Ans: a) GAB= 56.6 MPa (C), σBC = 63.7 MPa (T), 6cp= 113.2 MPa (C); b) F.S = 2.2; c) dc = -0.493 mm]
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