S3 - C.t VE '10l , R\u !Go8 AS~'IrNMEJI, 4' a ('oue SE,r....

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C..t VE '10 l , R\u !Go8 AS~'IrNMEJI, 4' a ('oue SE,r. '0 ~ N!S1)AY 12 PM 4' 8o~2.,t.\l>'f.~) P5.55 A steel [E = 30,000 ksi, C( = 6.6 X 1O- 6 rF] pipe (1) with a cross-sectional area of Al = 5.60 in? is connected at flange B to.an aluminum alloy [E = 10,000 ksi, C( = 12.5 X 1O- 6 rF] pipe (2) with a cross-sectional area of A 2 = 4.40 in. 2 The assembly (shown in Fig. P5.55) is connected to rigid supports at A and C. It is initially unstressed at a temperature of 90°F. (a) At what temperature will the nonnal stress in steel pipe (1) be reduced to O? (b) Detennine the normal stresses in steel pipe (1) and aluminum pipe (2) when the temperature reaches -10°F. 144 in. ~ 30 kips 120 in. FIGURE P5.55 P6.79 The torsional assembly of Fig. P6.79 consists of a 'cold- rolled stainless steel tube connected to a solid cold-rOlled brass segment at flange The assembly is securely fastened to rigid supports atA and D. Stainless steel tube (1) and (2) has an outside diameter of 3.50 in., a wall thickness of 0.120 in., and a shear modulus of G = 12,500 ksi. The solid brass segment (3) has a di- ameter of 2.00 in. and a shear modulus of G = 5,600 ksi. A con- centrated torque of T B = 7 kip-ft is applied to the stainless steel pipe at B. Determine: (a) the maximum shear stress magnitude in the stainless steel .tube. (b) the maximum shear stress magnitude in brass segment (3). (c) the rotation angle of flange z FIGURE P6.79/80 18 in. x P6.80 The torsional assembly of Fig. P6.80 consists of a cold- rolled stainless steel tube connected to a solid cold-rolled brass segment at flange The assembly is securely fastened to rigid supports at A and D. Stainless steel tubes (1) and (2) have an out- side diameter of 3.50 in., a wall thickness of 0.120 in., a shear modulus of G = 12,500 ksi, and an allowable shear stress of 50 ksi. The solid brass segment (3) has a diameter of 2.00 in., a shear modulus of G = 5,600 ksi, and an allowable shear stress of 18 ksi. Detennine the maximum permissible magnitude for the concen- trated torque T B
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A ~ ~ ~~es\.ed i'n>\>f~ S (kJorlOr Su\ott1;~'OI\ ) -- . _----------- PS.53 A load of P = 170 lu~ is supported by a Structure consist- ing of rigid bar ABC, two identical solid bronze [E = 100 GPa, IX = 16.9 X 1O- 6 rq rods, and a solid steel [E = 200 GPa, 'l. = 11.9 X 1O-6 j oq rod, as shown in Fig. P5.53. The bronze rods (1) each have a diameter of 20 mm and they are symmetrically posi- tioned relative to the center rod (2) and the applied load P. Steel rod (2) has a diameter of 24 mm. The bars are unstressed when the Structure is assembled at 40'C. When the temperature de- creases to -10°C, determine: (a) the normal stresses in the bronze and steel rods. (b) the nOrmal strains in the bronze and steel rods. (c) the downward deflection of rigid bar ABC. -_.~ _-~------ (1) (1) I-~) 1 J 2.4m 1.8m L FIGURE P5.53 P6.86 A solid 1.50-in.-diameter brass [G = 5,600 ksi] shaft [segments (1), (2), and (3)] has been stiffened between Band C by the addition of a cold-rolled stainless steel tube (4) (Fig. P6.86a). The tube (Fig. P6.86b) has an outside diameter of 3.50 in., a wall thickness of 0.12 in., and a shear modulus of G = 12,500 ksi. The tube is attached to the brass shaft by means of rigid flanges welded to the tube and to the shaft. (The thickness of the flanges can be neglected for this analysis.) If a torque of 400 Ib-ft is applied to the shaft as shown in Fig.
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This note was uploaded on 10/06/2009 for the course CIVE 207 taught by Professor Shao during the Fall '09 term at McGill.

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S3 - C.t VE '10l , R\u !Go8 AS~'IrNMEJI, 4' a ('oue SE,r....

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