598_Mechanics Homework Mechanics of Materials Solution

# 598_Mechanics Homework Mechanics of Materials Solution -...

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Unformatted text preview: 5.121 and 5.122 (:1) Using singuiarity functions, write the equations deﬁning the shear PROBLEM 5.121 and bending moment for the beam and loading shown. (1)) Determine the maximum normal stress due to bending. i0 kips SOLUTION 56X12.5 +DiMD = O ' (GoKlo‘n-t 45 3?, 425305» (moo) = 0 R3 '-" 2; 16'?! 20111. +DEMQ= O (tsKrm-IRDKH) + 4599 455100) = 0 RD = 20 kc,» v = _ lo + 25<x-:s>" — 250-35)“ + 290—60)“ kc.“ M c —10x + 25(x-is>'- 254x—3s)' 4 20¢:- w)‘ ”I” in H XL”) M (Kr- t.) . 8 l5 -—003(I5) = — Ls‘o Nu m ‘ _ C as —(:o\(s\$)+ (25%») = 150 ktp-in . 'D Go ~(toKr-0M (253645) 4253(25) = —- loo K‘P.-m E 70 —(|03(7o)+(25)(55\ 4253(3) 1-(20300) '-' 0 check: Maximum “'4‘ V ’50 kCr‘in, Fof‘ SCHULS mowed si‘eelJ sec'Ho-n Sr 7.37m: MI 150. . Nor-Um! 5+Nss 6“: L5— = 7-37 2 20.3516: ...
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