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The beam ABCD is loaded with a force, P(N) as shown in Figure 3(a). The T-beam crosssection is illustrated in Figure 3(b). The beam is made of a linear elastic-perfectly plastic material with a yield strength of 210 MPa, Young’s modulus of 200 GPa and Poisson’s ratio of 0.3. a) Determine the magnitude of the force, PE (N) to cause the initial yield at the most critical cross- section of the beam. b) Determine the ultimate force, PP (N) to cause plastic hinge (collapse) of the beam. c) Would the magnitude of the force, PE (N) in part (a) change, if the beam is flipped such that the flange is at the bottom side? Explain your answer

The beam ABCD is loaded with a force, P(N) as shown in Figure 3(a). The T-beam crosssection is illustrated in Figure 3(b). The beam is made of a linear elastic-perfectly plastic material with a yield strength of 210 MPa, Young’s modulus of 200 GPa and Poisson’s ratio of 0.3. a) Determine the magnitude of the force, PE (N) to cause the initial yield at the most critical cross- section of the beam. b) Determine the ultimate force, PP (N) to cause plastic hinge (collapse) of the beam. c) Would the magnitude of the force, PE (N) in part (a) change, if the beam is flipped such that the flange is at the bottom side? Explain your answer

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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The beam ABCD is loaded with a force, P(N) as shown in Figure 3(a). The T-beam crosssection is illustrated in Figure 3(b). The beam is made of a linear elastic-perfectly plastic material with a yield strength of 210 MPa, Young’s modulus of 200 GPa and Poisson’s ratio of 0.3.
a) Determine the magnitude of the force, PE (N) to cause the initial yield at the most critical
cross- section of the beam.
b) Determine the ultimate force, PP (N) to cause plastic hinge (collapse) of the beam.
c) Would the magnitude of the force, PE (N) in part (a) change, if the beam is flipped such
that the flange is at the bottom side? Explain your answer.

P (N) 0.5m B 1.0m C 0.5m Figure 3(a) A D 80mm 30mm Figure 3(b) Cross-section of beam ABCD 100mm 30mm
Transcribed Image Text:P (N) 0.5m B 1.0m C 0.5m Figure 3(a) A D 80mm 30mm Figure 3(b) Cross-section of beam ABCD 100mm 30mm
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