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 Fr 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 Fr/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 16 mm 8 mm 16 mm 70 mm wwg

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 Fr 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 Fr/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 16 mm 8 mm 16 mm 70 mm wwg

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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