Question 1:A member having the dimensions shown is used to resist an internal bending moment of M kNm.Determine the maximum stress in the member if the moment is applied (a) about the z axis (as shown)(b) about the y axis. Sketch the stress distribution for each case.Take:M=98kNmmmA=208mmB=158mmB mmSolution:The moment of inertia of the cross-section about z and y axes are1AB³12|(10-) m*1ВАЗ —12I,|(10) m*=For the bending about z axis, c =mMcO paxMPаIzFor the bending about y axis, c =mMcMPаIymax z MPaKN=MOmax Y MPa.MKN-MMPaO max ZOmax Y MPa

Answered: Image /qna-images/answer/a2d67bba-9bc6-41fd-be0e-47337f5b171a.jpg

M E. х Solution: The moment of inertia of the cross-section about z and y axes are 1 Iz AB³ |(10-) m² 12 1 BA' = 12 I, (10) m* For the bending about z axis, c= m Mc MPa max For the bending about y axis, c = m Mc MPa Iy Omax z MPa KN-M ||

M E. х Solution: The moment of inertia of the cross-section about z and y axes are 1 Iz AB³ |(10-) m² 12 1 BA' = 12 I, (10) m* For the bending about z axis, c= m Mc MPa max For the bending about y axis, c = m Mc MPa Iy Omax z MPa KN-M ||

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter6: Stresses In Beams (advanced Topics)

Section: Chapter Questions

Problem 6.5.6P: The Z-section of Example D-7 is subjected to M = 5 kN · m, as shown. Determine the orientation of...

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