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1150_Mechanics Homework Mechanics of Materials Solution

1150_Mechanics Homework Mechanics of Materials Solution -...

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Unformatted text preview: 9.140 Knowing the beam AD is made of a solid steel bar, determine the (a) slope at point B, (c) the deflection at point A. Use E = 200 GPa. PROBLEM 9.140 SOLUTION .. a A 30 mm E " 200 “ IO Pa, 1 "' Eli (39X30Y :- G7..5'xlo’ 1mm" '7 91.53: lo" M” EI=(200x10"3(67.5'-¢lo“)r gssoo Nun“ 2(35' kU'ML ‘0 2M3 = o -—.(o.9.)(t.2) -~'(3)(o.25)(o.m')+ 549° 2 0 RD . o. “75 kN ' Draw £4- Ju'anvam 333 Paris. EI M, = (o.cc7s)(o.s) , 0.35375 ku-m Me. = (1.2)(023 a 0.240 lard-M M3 HMSMMSY‘ = — 0.09375“ kU-m A. .- é (0.533%)(055/5: .- 0.089375 /El' Al -.- g (o.240)(o.2)/Er = 0.024 /EJ: A; -_ é Go'm37SYO.QS)/£I -.- — 0,00781-Zf/EI 'Pfiace re¥ev~ence him-Jeni“ af B. rpm = A. (34.0.5) + As( é-(o.zs)+ 0.2:) = o. causes/Er _ .. tm __ 0.021345” _ _ 0.09878? (a) Slope «J B 93 * "E" '3 W - E'I 1- - 3.é.l'40m10'3 renal. ‘I tm = Az(%(o.2o}) = 0.0032/EI = 0.23704xto’3 w. Us) De'FfileaM 03‘ A )5 ‘ tun " Lag 9:; : 0.23704uo" - (0.2m 3.6mmIo") = 0.150xlo'3m = 0.960 “MT «- ...
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