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Unformatted text preview: 594"": 0 At room temperatut‘e (20°C) a 0.5mm gap exists between the ends
3 shown. At a later time when the temperature has reached 140°C
. I6 (is) the normal stress in the aluminum rod, (1)) the change in length
.;;. ummum rod. 0.5 mm l“—' 300 mm ﬂit 250 mm —.1 Aluminum Stainless steel
A : 2000 mm2 A = 8001111112
E = 75 Cl’a E = [90 CH:
C: = 23 X 10—5I°C a 17.3 X MFG/(’0
Fig. P230 Compressive centric forces of 40 kips are applied at both ends of
1y shown by means of rigid plates. Knowing that E. = 29 X 105 psi
10.1 X 106 psi, determine (a) the normal stresses in the steel core uminum shell, (3)) the deformation of the assembly. l‘\ 10 in.
\X‘ l 111. Aluminum .' shell Steel core Fig. P235 1.; /\ LU run} u, nu ____, 2.41 Two cylindrical rods, one of steel and the other of brass, are joined
at C and restrained by rigid supports at A and E. For the loading shown and
knowing that E5. = 200 GPa and 5;, = 105 GPa, determine (a) the reactions at A and E, (b) the deflection of point C. Dimensions in mm ls—qso—T—tsu—Tﬂr
A C D
m 100
I E 30111 m diam. 40ITBT] diam. Fig. 192.40 Fig. 92.41 6 The rigid bar ABCD is suspended from four identical wires. De Fig. P2.46
the tension in each wire caused by the load P shown. 2.51 A rod consisting of two cylindrical portions AB and BC is restrained
at both ends. Portion AB is made of steel (Ei = 200 GPa, [155 = I L? X 10' 6PC)
and portion BC is made of brass (3,, : 105 GPa, ab : 20.9 X 10—6!°C). Know
ing that the rod is initially unstressed, determine the compressive force induced
in ABC when there is a temperature rise of 50°C. f, I: 250 mm L L 300 mm L Fig. P2.51  30—11111] diameter 50min diameter . ' 2.61 In a standard tensile test, an aluminum rod of 20mm diameter is
' ted to a tension force of P = 30 kN. Knowing that v = 0.35 and E = Pa, determine (a) the elongation of the rod in a ISOmm gage length,
xiiir change in diameter of the rod. ‘ 20min diameter 150 mm
P!
Fig. P261 2.69 A fabric used in airinflated structures is subjected to a biaxial
loading that results in normal stresses ox = 120 MPa and crz = 160 MPa
Knowing that the properties of the fabric can be approximated as E = 87 GPa
and v = 0.34, determine the change in length of (a) side AB, (b) side BC,
(c) diagonal AC. Fig. P2159 . 2.77 The plastic block shown is bonded to a rigid support and to a were
tlcal plate to which a 240kN load P is applied. Knowing that for the plasli'
used G = 1050 MPa, determine the deflection of the plate. Dimensions in mm
Fig. P2.77 Fig. P235 2.96 Knowing that the hole has a diameter of a in., determine (a) the
dius rf of the ﬁllets for which the same maximum stress occurs at the hole
and at the ﬁllets, (b) the corresponding maximum allowable load P if the lowable stress is 15 ksi. Fig. Pass 2.99 The aluminum test specimen shown is subjected to two equal and
ite centric axial forces of magnitude P. (a) Knowing that E = T0 GPa
. 0",]. = 200 MPa, determine the maximum allowable value of P and the cor
nding total elongation of the specimen. (1:) Solve part a, assuming that
pecimen has been replaced by an aluminum bar of the same length and a
I.'I__1_ arm 60 X 15mm rectangular cross section. Dimensions in mm Fig. P239 113.1 For the cylindrical shaft shown, determine the maximum shearing 'Ts caused by a torque of magnitude T = 1.5 kN ' m. 22. mm Fig. 93.1 and P32 of 12 ksi, and sleeve CD is made of a brass with an allowable shearing of 7 ksi. Determine (a) the largest torque T that can be applied at A if
owable shearing stress is not to be exceeded in sleeve CD, (b) the cor— ' 3 m ding required value of the diameter dx of spindle AB. Fig. P3,? and P33 35.7 The solid spindle AB is made of a steel with an allowable shearing i ...
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 Fall '08
 LINDASCHADLERFEIST

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