4. The box beam is made of an elastic-perfectly plastic material for which the yield stress oy = 250 MPa. Draw the residual stress distribution in the beam after the elastic-plastic moment, Mep = 548.5 kNm, is applied and then released. It can be shown that under the applied moment, the flanges (260 mm x 30 mm) yield, while the webs (2 x 200mm × 30mm) show linear elastic behavior. The moment of inertia and plastic section modulus of the section are given below: I = 247.48 x 106 mm4; Z, = 2394000 mm3 %D %3D y 30 mm 30 mm 200 mm 200 mm 30 mm 30 mm

Mechanics of Materials (MindTap Course List)
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Author:Barry J. Goodno, James M. Gere
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Chapter6: Stresses In Beams (advanced Topics)
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Problem 6.2.6P: A r o lukI f/frm f «m t ub e of ou t sid e d ia met er ^ and a copper core of diameter dxare bonded...
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4. The box beam is made of an elastic-perfectly plastic material for which the yield
250 MPa. Draw the residual stress distribution in the beam after the
elastic-plastic moment, Mep = 548.5 kNm, is applied and then released. It can be
shown that under the applied moment, the flanges (260 mm × 30 mm) yield, while
the webs (2 x 200mm x 30mm) show linear elastic behavior. The moment of
inertia and plastic section modulus of the section are given below:
I = 247.48 x 106 mm4; Z, = 2394000 mm³
stress oy =
y
30 mm
30 mm
200 mm
200 mm
30 mm
30 mm
Transcribed Image Text:4. The box beam is made of an elastic-perfectly plastic material for which the yield 250 MPa. Draw the residual stress distribution in the beam after the elastic-plastic moment, Mep = 548.5 kNm, is applied and then released. It can be shown that under the applied moment, the flanges (260 mm × 30 mm) yield, while the webs (2 x 200mm x 30mm) show linear elastic behavior. The moment of inertia and plastic section modulus of the section are given below: I = 247.48 x 106 mm4; Z, = 2394000 mm³ stress oy = y 30 mm 30 mm 200 mm 200 mm 30 mm 30 mm
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