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110_Mechanics Homework Mechanics of Materials Solution

# 110_Mechanics Homework Mechanics of Materials Solution - 2Q...

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Unformatted text preview: 2Q 61 Two steel bars (E5 = 200 GPa and a; = 11.7 >< 10'6/°C) are used to reinforce a brass bar (Eb = 105 GPa, at, = 20.9 X 10'6/°C) which is subjected to a load P= 25 kN. )\ When the steel bars were fabricated, the distance between the centers of the holes in 2. m PROBLEM 2.62 which were to ﬁt on the pins was made 0.5 mm smaller than the 2 m needed. The steel bars were then placed in an oven to increase their length so that they would just ﬁt on the pins. Following fabrication, the temperature in the steel bars dropped back to room temperature. Determine (a) the increase in temperature that was required to ﬁt the steel bars on the pins, (1')) the stress in the brass bar after the load is applied to it. 2.62 Determine the maximum load P that may be applied to the brass bar of Prob. 2.61 if the allowable stress in the steel bars is 30 MPa and the allowable stress in the Brass brass bar is 25 MPa. Steel I 40mm SOLUTION See Bo)u+{om i-u PROBLEM 3.6! +9 obi-4M He "FapLV‘I‘cae'i‘iDV‘t wives”: 6:: 22.03 MPG. (51*.— —w.ca MPa. Aﬁﬁowalape stresses: 6‘5“": 30 MPa. Avauipalje Siress increase -FY\o-M ﬂout] 6‘3””: 25 ”Pd. .2 30-22-03": 7.97 MP4 254. ILLGS :' 3?.68 ”Pct. Correspeno’inﬂ axlat-‘ﬂwhape sif‘aivts _ 6; _ 737m”? _ .g 85 - Efs— — “”200”qu - 37.85140 ‘ 53-.- ..GJ: aw: 3773;”9“ E's tos‘wo‘t Shufﬂe» Vaﬁae governs 3- E. 135?.85310“ Areas: A5 =- (Q V530») = Lioo m3 uoovlo" in" A5: (153(90) = 600 ram" 600310" m“ P5 = E5 A5 2 = (zooxio‘)(aooxio“ Memento") = sts was“ to P5 = EbAb g -.- ('05-. 10")(_Qoo x10" )(3185vlc5‘) '-' 2.5” x103 N To‘hap «.9190» «dupe «4406440an ‘Foit‘ce = : .taavto’ + 2.5/2wzo3 = 57ovto‘u P p5+pb 3 =a7okw ...
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