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640_Mechanics Homework Mechanics of Materials Solution

# 640_Mechanics Homework Mechanics of Materials Solution -...

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Unformatted text preview: 5.166 For the beam and loading shown, determine the maximum normal stress due to PROBLEM 5-166 bending on a transverse section at D. 150 m SOLUTION I 92Mg= O W460x113 "*3 R’. + (£01050) + (3.0050) +(|.2)C7.4)(9c>) = o ‘ PA = 27? RN DZMA = 0 MRS ~(o.9)(l\$o) 40.0050) - (3.0mm): 0 R3 = 237 MW Shear: A +0 c v: 27? C+oD V=179 -ISO-' mq ku D+°E V=12¢I —:50-- —2t W V: — 21 '1 kw «amen: -237 w Areas uncle» shear 51.13»wa A +oC SVJX =~ (o.9)(27?)= 223.2 kU-m C +91) Sven: (amazed: 163.2 m». MMIMUM Bending momem‘f Occur”: a‘l‘ [99(me where V changes Sign. D MD: MA + 50 Vol}! 7 0+ 223.2+ l03.2.‘= 326.#. kan For roiled Shel? secﬁom W 460 Y “.3 s = 2400 no“ mﬂ = 2490 :20" m‘ 3 .4 03 Normal S‘hhess (3—: 13" = Jé—L = (36.0x10‘ Pa 0 0" 2H0 “I =- 136-0 MPQ. 1‘ ...
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