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Quiz 5 Solutions - Mechanics of Materials A Quiz — 5,’...

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Unformatted text preview: Mechanics of Materials // A Quiz — 05/03/05 ) 5 ,’ Given: A channel section beam (shown below) is subjected to a shear, V=40 kN, _ V ' Q _ -, r I- 2‘ Q y A Required: a) Draw the shear stress distribution acting on the cross section. b) Determine the shear stress at the two points shown. (note: point A is at the web/flange interface in the web and point B in at the web/ flange interface in the flange) Solution: V=40 kN a) Shear stress distribution * 3.1”3. ’4 0, ‘ I f “—1—; 003? - A 9» (M60) (0,,0‘2‘5’)<o.o’-)-“)2/J’1 3,3268G'3 24/) L/ f: 4QOOOM®O¢<§13XM$ _‘ ‘ {ragga—g w .01 am _ 7‘ 335 Me “3 M /- 44g0551vao.oc>olssa - 0 an -- W,» -— 2‘, zeo M PA €32C<3E< M V~ 0406):» M¢WWK_W Mechanics of Materials fiJl/f/M Quiz —- 05/03/05 Given: A wide flange beam (shown below) 15 subjected to a shear, V=60 kN. V- -Q _ —- 7:1 1‘ Q y A Required: a) Draw the shear stress distribution acting on the cross section. b) Determine the shear stress at the two points shown. (note: point A 1s at the web/flange interface 1n the web and point B in at the web/flange interface 1n the flange) Solution: 1-— 200mm —-w~—-———1 ‘ [— " — ' fismm PointB -PointA 20mm 175mm V=60kN C:____. :1 25mm 1— a) Shear stress distribution n J V70 J , W 91:15 ween/1 was“; 51/ 0745 C ‘{m 21/71 0 /00/0‘ 02s)[a 20g) 0 0005;: \: (>920 w» ens-owes 56» we N 00005”: {3 30 ML / M‘éC‘q'fl/nb/‘OJOLOW‘ 50/040 /\/- 00003743 I GQQSEWMV/ O ZOCJIK ...
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