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1424_Mechanics Homework Mechanics of Materials Solution

# 1424_Mechanics Homework Mechanics of Materials Solution -...

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Unformatted text preview: PROBLEM 11_141 11.141 (a) Determine the modulus of resilience of a grade of structural steel for which a, = 300 MPa and E = 200 GPa. (b) Determine the required yield strength of an aluminum alloy for which E = 72 GPa if the modulus of resilience of the alloy is to be the same as that of the structural steel. SOLUTION (a) E: zooxio‘ Pa, 6}: Seoulo‘Pa 6’; ( soowto‘ )1 uY= Tug”: (1)000me = 225xlo‘ N-m/w? - 225 kJ/wF’ ‘- (5) 63a have = (zit-zleo'XmSHO“ = ”30"“3‘ P4 = '30 HP“ “ 11.142 A single Mum-diameter steel pin B is used to connect the steel strip DE to two aluminum strips, each of 20-min width and 5-inch thickness. The modulus of elasticity is 200 GPa for the steel and 70 GPa for the aluminum. Knowing that for the pin at B the allowable shearing stress is rm = 85 MP3, determine, for the loading shown, the maximum strain energy that can be acquired by the assembled strips. PROBLEM 11.142 SOLUTION AW. = §¥ = \$6? = 23,274 m: = 23.274 Ho" w:- 2’4! ‘~' '85" 10‘ Pa Davide 511eaw- ’P= KAT: (2X28.27‘hIO—‘ )(Sero‘l = \$8065 2103 N Fa» Ships ABJDBJ. BE A =(20)CS)= 100 um" = 100210“ m1 FM, = PW. : it? ~.- germane“ N 2. 2 _ g l?“ L». = AWL— : 206.3 to" J‘ UM ' U93 l-EsAae (23(70‘ x IO‘XIOOWO“) x UIE: Pita: meascxto’YCLﬁw-S) ... 453.2xio”53 255A“ (macaw [0“Xloouo“) Tab}: U: U“ + U03 +1.!“ : 846 trio-SJ" =- 0.846 J' «I ...
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