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Practice Midterm 2 - Mtg/719W 71” gm ‘ m4 PM 0 i in...

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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) . 6-8kip-in, 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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