Determine the bending stress at point A of the beam using

Chapter 6, Problem 6-108

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QUESTION:

Determine the bending stress at point A of the beam using the result obtained in Prob. 6–106. The moments of inertia of the cross-sectional area about the z and y axes are \(I_{z}=I_{y}=5.561 \mathrm{in}^{4}\) and the product of inertia of the cross sectional area with respect to the z and y axes is \(I_{y z}=-3.267 \mathrm{in}^{4}\). (See Appendix A.)

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QUESTION:

Determine the bending stress at point A of the beam using the result obtained in Prob. 6–106. The moments of inertia of the cross-sectional area about the z and y axes are \(I_{z}=I_{y}=5.561 \mathrm{in}^{4}\) and the product of inertia of the cross sectional area with respect to the z and y axes is \(I_{y z}=-3.267 \mathrm{in}^{4}\). (See Appendix A.)

ANSWER:

Problem 6-108Determine the bending stress at point A of the beam using the result obtained in Prob.6-106. The moments of inertia of the cross-sectional area about the z and y axes are I = I z y 4= 5.561 in and the product of inertia of the cross sectional area with respect to the z and yaxes is I yz3.267 in . (See Appendix A.) Step-by-step solution Step 1 of 2 ^Since the internal moment M is directed towards the negative y axis, its y component of momentis negative and there is no z component of moment.The y-component of moment, M = - 3 kipytThe z- component of moment, M = 0 zCalculate the distance of z coordinate of point A from y axis. zA= 4 in. - 1.183 in. = 2.817 in.Calculate the distance of the y coordinates of point A from z axis. yA= - 1.183 in.

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