36_Mechanics Homework Mechanics of Materials Solution

36_Mechanics Homework Mechanics of Materials Solution -...

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Unformatted text preview: PROBLEM 1'49 L49 In the structure shown, an 8- mm— diameter pin is used at A. and 12- min-- diameter pins are used at B and D. Knowing that the ultimate shearing stress is 100 MPa at all connections and that the ultimate normal stress is 250 MPa in each of the two links joining B and D, determine the allowable load P if an overall factor of safety of 3.0 is desired. Top View l-n'200 mm——|——180 mm ——112 mm SOLUTION 5mm<£ :Hji Shakes? USe ABC as gee: body. Based on data”: shear in Pin A A: 3M": ji.f(o.t>oas)‘== 50.2661i0‘5m =2T’UA~(axiooxgo‘)§50.2¢<uo" 3 3 FA WES- 3-0 ........._ = 3.35leo N is? R = 3.72 xio’ N Baseal on JouUe shear in Pius xi 8 and D .6 1. 3&(0.0i2)‘ :- “3.10 #10 m C -s = (:00on Malone. ) : 7.54 “0.5 N 3-0 3.97 x103 N Based on coupression in fifnks 8]) For one Pink A = (0.0ZO)(0.008) = lGOx/o" M?” _W = 26;, we" N 3.0 Ajpowalfle Value 0‘? P is smelled i. ‘P: 3.72 ’lOsN 3:72 RN ...
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