   Chapter 5, Problem 5.5.16P ### Mechanics of Materials (MindTap Co...

9th Edition
Barry J. Goodno + 1 other
ISBN: 9781337093347
Textbook Problem

# Determine the maximum bending stress emaxdue to pure bending by a moment (M) for a beam having a cross section in the form of a circular core (see figure). The circle has diameter d and the angle ß = 60°. Hint: Use the formulas given in Appendix E, Cases 9 and 15. To determine

Maximum bending stress, σmaxfor the beam having a cross − section in the form of circular core.

Explanation

Given:

Diameter, d

β=60

From the appendix given here:-

Iy=πr44r42(αabr2+2ab3r4)

r=d2

α=π2β

a=rsinβ

b=rcosβ

Iy=πd464d432(π2βsinβcosβ+2sinβcosβ)Iy=πd464d432(π2β(sinβcosβ)(12cos2β)</

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