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401_Mechanics Homework Mechanics of Materials Solution

401_Mechanics Homework Mechanics of Materials Solution -...

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Unformatted text preview: “D / I —{ I F PROBLEM 4.139 4.138 A short length of a rolled—steel column supports a rigid plate on which two loads P and Q are applied as shown. The strains at two points A and B on the center lines of the outer faces of the flanges have been measured and found to be 64 = ~ 400 x 10" inJin. 6,, = 800 x 10“ inJin. Knowing that E = 29 X 10‘ psi, determine the magnitude of each load. 4.139 Solve Prob. 4.138, assuming that the measured strains are £4 = -350 x 10“ inJin. e, e -50 x 10‘ inJin. SOLUTION Si'resses 4:} A one‘a 3 'From s+m5r 3*395 6'. = EEA = (quuo‘)(-ssowo")r 40.13103”; = (quro‘K-souo"): « 1.14920" psi F = P+Q ganglia-3 Couple M '- GP" 60 C, 517-1 Cedric ion: e Mc. ____13;9_ gap—«93(5) {0.0 273 . 078‘? P — 0.2078?Q C =_P+Q-Lflflfl I0.o 273 —o.207s‘1 P + (2.009qu Solving (I) and C2) .Simdj'l'dnCOUSapj 4L i Tb i ] P = Q ‘12: >403 lb = 7.2: kilos = memos 1%. = 43.2 laps. ...
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