Structural Analysis
Structural Analysis
6th Edition
ISBN: 9781337630931
Author: KASSIMALI, Aslam.
Publisher: Cengage,
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A force F is applied on the free end of a cantilever beam (Fig. 1). The geometry of the cross section is
demonstrated in Fig. 2. The material is elastic-perfectly plastic. Calculate the a) force Fp causing fully
plastic stress distribution on the cross section located on the fixed support, b) force Fy causing elastic
stress distribution up to the yield stress Y=240 MPa on the cross section located on the fixed support,
c) the ratio Fo/Fv, and d) determine the residual stress distribution on the cross section after
unloading from the fully plastic state. Tip for the solution: Fy=M,/L, Fp=M,/L
F
Вeam
L=4000 mm
Figure 1
Cross section of the beam
T
16 mm 8 mm
16 mm
Figure 2
iww g
70 mm
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Transcribed Image Text:A force F is applied on the free end of a cantilever beam (Fig. 1). The geometry of the cross section is demonstrated in Fig. 2. The material is elastic-perfectly plastic. Calculate the a) force Fp causing fully plastic stress distribution on the cross section located on the fixed support, b) force Fy causing elastic stress distribution up to the yield stress Y=240 MPa on the cross section located on the fixed support, c) the ratio Fo/Fv, and d) determine the residual stress distribution on the cross section after unloading from the fully plastic state. Tip for the solution: Fy=M,/L, Fp=M,/L F Вeam L=4000 mm Figure 1 Cross section of the beam T 16 mm 8 mm 16 mm Figure 2 iww g 70 mm
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