Unformatted text preview: Mtg/719W 71”, gm ‘ , m4, PM
0 i in many situations it is known that the normal stress in a given
direction is zero, for example a, = 0 in the case of the thin plate shown.
For this case, which is known as plane stress, show that if the strains ex and
6V have been determined experimentally, we can express 0,, 03,, and 52 as {Onowsz
EX + vey
0x = E l — V2 ,
6}, + 125,
0y 2 E l — V2
l/
Ezr'1_y(6x+ey) . 68kipin, The torques shown are exerted on pulleys A, B, and C. Knowing 10.4 kip  in.
that both shafts are solid, determine the maximum shearing stress in (a) shaft AB, ([7) shaft BC. _ ‘
3'6 kip ' in. 1.3 in. 7 /
' 72 in. and—shaft system shown requires that steel
both AB and CD. It is further required
through which end D of shaft CD
= 77 GPa, determine the required L/ The design of the gear
shafts of the same diameter be used for
that rmX s 60 MPa and that the angle (bD
rotates not exceed l.5°. Knowing that G diameter of the shafts. 40 mm 400 mm» 600 mm \ it) . For the concrete beam shown, the modulus of elasticity is 25 GPa
for the concrete and 200 GPa for the steel. Knowing that b = 200 mm and d 2
450 mm, and using an allowable stress of 12.5 MP3 for the concrete and
140 MPa for the steel, determine (a) the required area A of the steel rein—
forcement if the beam is to be balanced, (b) the lar est allowable bending moment. (“Arm ,CC {5%an i 1 ‘LL hdgﬁww
S‘lL—QKSVI {“44 ﬂed 4,1,1 mM Mg ...
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 Spring '09
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