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415_Mechanics Homework Mechanics of Materials Solution

415_Mechanics Homework Mechanics of Materials Solution -...

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Unformatted text preview: PROBLEM 4.154 Iy‘ -'- 281 X 103 mm" 1,. = 176.9 x 103 mm"L L: (Q) +6") 9) _ I y’ hit/16 T 4.154 through 4.156 The couple M acts in a vertical plane and is applied to a beam oriented as shown. Determine (a) the angle that the neutral axis forms with the horizontal plane, (11) the maximum tensile stress in the beam. SOLUTION 12w l76.‘i x103 Wm“ = l76.9xlo"' m” : 231*“): MM” ’- 23IXI0'1 w." J5. =-'8’57 "M: 25 = 25 Mm M2} 2 I400 005 50° : 34¢)“ N-w. M3" 7" "I‘OO sin 30° 1' 200 N‘IM 176.9“0—9' ‘22! 5610" g) : 19.97 ° . +4» 30° = 0.36346. (X: 30°—|?-97° 1' l0.03° (lo) Maximum +0191): s-Hness occurs a+ Fain?” E -s 59‘ _ Md; + M12,- 7 _ L3Hé.‘-H)(—l857>vl0“3) + (2003(25rto ) I; I: 176.“? Mo“! 23! w to" = 36.3cwzo‘+ 17.7mm“ = 59.2HO‘Pa = 59.? MPG. ...
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