Question 4 The bar in Figure is made of steel that is assumed to be elastic perfectly plastic, with oy = 250 MPa. Determine (a) the maximum value of the applied load P that can be applied without causing the steel to yield and (b) the maximum value of P that the bar can support. Sketch the stress distribution at the critical section for each case. 40 mm 4 mm P 4 mm 2 mm 3.0 2.8 2.6 2.4 P ht 2.2 K - 4.0 2.0 3.0 2.0 h 1.8 1.5 1.6 1.2- h 1.1 1.4 1.2

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter11: Columns
Section: Chapter Questions
Problem 11.2.10P: The figure shows an idealized structure consisting of rigid bars ABC And DEF joined by a linearly...
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Question 4
The bar in Figure is made of steel that is assumed to be elastic perfectly plastic, with oy = 250
MPa. Determine (a) the maximum value of the applied load P that can be applied without
causing the steel to yield and (b) the maximum value of P that the bar can support. Sketch the
stress distribution at the critical section for each case.
40 mm
4 mm
2 mm
4 mm
3.0
2.8
P-
2.6
2.4
P
Oavg
ht
2.2
K
W-40
2.0
W 3.0
2.0
1.8
- 1.5
1.6
= 1.2-
h
W = 1.1
1.4
1.2
1.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
a. Determine the maximum value of the applied load P that can be applied without causing
the steel to yield
b. Determine the maximum value of P that the bar can support.
Transcribed Image Text:Question 4 The bar in Figure is made of steel that is assumed to be elastic perfectly plastic, with oy = 250 MPa. Determine (a) the maximum value of the applied load P that can be applied without causing the steel to yield and (b) the maximum value of P that the bar can support. Sketch the stress distribution at the critical section for each case. 40 mm 4 mm 2 mm 4 mm 3.0 2.8 P- 2.6 2.4 P Oavg ht 2.2 K W-40 2.0 W 3.0 2.0 1.8 - 1.5 1.6 = 1.2- h W = 1.1 1.4 1.2 1.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 a. Determine the maximum value of the applied load P that can be applied without causing the steel to yield b. Determine the maximum value of P that the bar can support.
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