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HW4 - 2.77 The plastic block shown is bonded to a rigid...

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Unformatted text preview: . 2.77 The plastic block shown is bonded to a rigid support and to a were tlcal plate to which a 240-kN 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 (1:) Solve part a, assuming that pecimen has been replaced by an aluminum bar of the same length and a I.'I__1_ arm 60 X 15-mm rectangular cross section.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 3.11 Under normal operating conditions, the electric motor exerts torque of 2.8 kN - m on shaft AB. Knowing that each shaft is solid, dete u'r the maximum shearing stress in (a) shaft AB. ([7) shaft BC, (c) shaft CD. T3 = 1.4 L'N . m T(‘ = ”.9 L'N - Ill 48 mm / TD = [1.5 W - m 48 mm 46 mm 5 The allowable shearing stress is 15 ksi in the steel rod AB and 8 ksi _ 5 rod BC. Knowing that a torque of magnitude T = 10 kip - in. is F '_ A, determine the required diameter of (a) rod AB. (b) rod BC. 3.25 The two solid shafts are connected by gears as shown and ‘ of a steel for which the allowable shearing stress is 7000 psi. Know’ ameters of the two shafts are, respectiveiy, d“ = 1.6 in. and 0‘51: _-3 determine the largest torque TC that can be applied at C. Fig. P325 and 93.25 Fig. P3.15 and P3.18 3.32 (a) For the solid steel shaft shown (G = 77 GPa), determin- angle of twist at A. (b) Solve part a, assuming that the steel shaft is hot with a 30—mm-0uter diameter and a 20-mm—inner diameter. Fig. 193.32 44 mm 1 In Fig. 93.35 3.35 The electric motor exerts a 500 N - m torque on the aluminum ABCD when it is rotating at a constant speed. Knowing that G = 2? GPa that the torques exerted on pulleys B and C are as shown, determine the of twist between (a) B and C, (b) B and D. 1-' ' ted by the gears sho.‘ 3.40 TWO shafts, each of 3 m. diameter, are connec . ‘ ._ Knowing that G = 11.2 X 106 psi and that the shaft at F [S fixed, determine». angle through which end A rotates when a 1.2 kip - in. torque is apphed 3.53 The composite shaft shown consists of a S—mm-thick brass jacket ‘ s = 39 GPa) bonded to a 40-mm—diameter steel core (Gsteel = 77.2 GPa). g that the shaft is subjected to a 600 N - m torque, determine (a) the um shearing stress in the brass jacket, (19) the maximum shearing stress B muss jacket 40 mm K 5 mm Fig. P353 and P354 Steel core and 3.58 Two solid steel shafts are fitted with flanges that are . “inflected by bolts as shown. The bolts are slightly undersized and per- -5: ,.5° rotation of one flange with respect to the other before the flanges -'|_ to rotate as a single unit. Knowing that G = 11.2 X 106 psi, determine 1 shearing stress in each shaft when a torque of T of magnitude i ° ft is applied to the flange indicated. '-- . lg. P357 and P358 "681 A steel shaft must transmit 150 kW at speed of 360 rpm. Know— at G = 77.2 GPa, design a solid shaft so that the maximum shearing J ill not exceed 50 MPa and the angle of twist in a 2.5—m length must '~"'.eed 30. - ped shaft shown must transmit 45 kW. Knowing that the stress in the shaft is 40 MPa and that the radius of the determine the smallest permissible speed of the shaft. Fig. P3.86, P3.87, and P3.88 ...
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