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2.- The composite shaft, made up of segments of steel, aluminum and bronze, supports the two torsion moments shown in the figure. If Tc = 250 lb.ft, determine: a) The reactive torques at A and at B; b) The maximum shear stress developed in each material. The moduli of rigidity G for steel, aluminum, and bronze are 12 x 10 ^6 psi, 4 x 10^6 psi, and 6 x 10^6 psi, respectively. (SEE FIGURE 2) 1.0 in. Steel 6 ft Aluminum 2 in. FIG 500 lb ft 2 Bronze 1.0 in D 4 ft 3 ft-

2.- The composite shaft, made up of segments of steel, aluminum and bronze, supports the two torsion moments shown in the figure. If Tc = 250 lb.ft, determine: a) The reactive torques at A and at B; b) The maximum shear stress developed in each material. The moduli of rigidity G for steel, aluminum, and bronze are 12 x 10 ^6 psi, 4 x 10^6 psi, and 6 x 10^6 psi, respectively. (SEE FIGURE 2) 1.0 in. Steel 6 ft Aluminum 2 in. FIG 500 lb ft 2 Bronze 1.0 in D 4 ft 3 ft-

Materials Science And Engineering Properties
Materials Science And Engineering Properties
1st Edition
ISBN:9781111988609
Author:Charles Gilmore
Publisher:Charles Gilmore
Chapter6: Introduction To Mechanical Properties
Section: Chapter Questions
Problem 6.3P: Compare the engineering and true secant elastic moduli for the natural rubber in Example Problem 6.2...
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TABLE E-1 PROPERTIES OF WIDE-FLANGE SECTIONS (W SHAPES) (ABRIDGED LIST) Designation W 30 x 211 W 30 x 132 W 24 x 162 W 24 x 94 W 18 x 119 W 18 x 71 W 16 x 100 W 16 x 77 W 16 x 57 W 16 x 31 W 14 x 120 W 14 x 82 W 14 x 53 W 14 x 26 W 12 x 87 W 12 X 50 W 12 x 35 W 12 x 14 W 10 x 60 W 10 x 45 W 10 x 30 W 10 x 12 W8x35 W8 x 28 W8x 21 W8 x 15 Weight 33 lb 211 132 102 94 119 71 100 77 57 31 120 82 53 26 87 50 35 14 GO 45 30 12 35 28 21 15 Area in.² 62.0 38.9 47.7 27.7 35.1 20.8 29.4 22.6 16.8 9.12 35.3 24.1 15.6 7.69 25.6 14.7 10.3 4.16 17.6 13.3 8.84 3.54 Web Depth thickness in. 30.94 30.31 25.00 24.31 18.97 18.47 16.97 16,52 16.43 15.88 14.48 14.31 13.92 13.91 12.53 12.19 12.50 11.91 10.22 10.10 10.47 9.87 10.3 8.12 8.25 8.00 6.16 8.28 4.44 8.11 in. 0.775 0.015 0.705 0.515 0.655 0.495 0.585 0.455 0.430 0.275 0.515 0.370 0.300 0.200 0.420 0.350 0.300 0.190 0.310 0.285 0.250 0.245 Flange Width in. 15.105 10.545 12.955 9.065 11.265 7.635 0.590 14.670 0.510 0.370 0.255 10.425 10.295 7.120 5.525 10.130 8.000 5.025 12.125 8.080 6.560 3.970 10.080 8.020 Thickness in 1.315 1.000 5.810 3.960 8,020 6.535 5.270 4.015 1.220 0.875 1.000 0.810 0.985 0.760 0.715 0.440 0.940 0.855 0.660 0.420 0.810 0.640 0.520 0.225 0.680 0.620 0.510 0.210 0.495 0.465 0.400 0.315 1 in.' 10300 663 5770 380 5170 2700 2190 1170 1490 1110 758 375 1380 882 541 245 Axis 1-1 S in³ 740 394 285 88.6 341 248 170 414 222 53.8 127 231 127 175 134 98.0 75.3 48.0 92.2 47.2 190 123 77.8 35.3 118 64.7 15.6 14.9 12.9 12.2 66.7 49.1 r 10.4 32.4 10.9 9.87 31.2 24.3 18.2 11.8 7.90 7.50 7.10 7.00 6.72 5.41 5.24 6.05 5.89 5.65 757 196 5.38 5.18 5.25 4.62 1 in' 443 109 4.39 4.32 4.38 3.90 253 G0.3 186 138 3.51 3.45 3.49 3.29 43.1 12.4 495 148 Axis 2-2 S 57.7 8.91 241 50.3 24.5 2.36 116 53.4 16.7 100 S 42.6 21.7 37.2 2.18 68,4 24.0 44.9 15.8 9.77 3.41 35.7 26.9 12.1 4.19 67.5 29.3 14.3 3.54 39.7 13.9 in. 3.49 2.25 7.47 1.19 23.0 13.3 r 3.05 1.98 10.6 2.69 1.70 2.51 2.47 1.60 1.17 5.75 1.10 3.74 2.48 1.92 1.08 3.07 1.96 1.54 0.753 2.57 2.0 1.37 0.785 2.03 1.62 6.63 3.71 1.26 1.70 0.876
Transcribed Image Text:TABLE E-1 PROPERTIES OF WIDE-FLANGE SECTIONS (W SHAPES) (ABRIDGED LIST) Designation W 30 x 211 W 30 x 132 W 24 x 162 W 24 x 94 W 18 x 119 W 18 x 71 W 16 x 100 W 16 x 77 W 16 x 57 W 16 x 31 W 14 x 120 W 14 x 82 W 14 x 53 W 14 x 26 W 12 x 87 W 12 X 50 W 12 x 35 W 12 x 14 W 10 x 60 W 10 x 45 W 10 x 30 W 10 x 12 W8x35 W8 x 28 W8x 21 W8 x 15 Weight 33 lb 211 132 102 94 119 71 100 77 57 31 120 82 53 26 87 50 35 14 GO 45 30 12 35 28 21 15 Area in.² 62.0 38.9 47.7 27.7 35.1 20.8 29.4 22.6 16.8 9.12 35.3 24.1 15.6 7.69 25.6 14.7 10.3 4.16 17.6 13.3 8.84 3.54 Web Depth thickness in. 30.94 30.31 25.00 24.31 18.97 18.47 16.97 16,52 16.43 15.88 14.48 14.31 13.92 13.91 12.53 12.19 12.50 11.91 10.22 10.10 10.47 9.87 10.3 8.12 8.25 8.00 6.16 8.28 4.44 8.11 in. 0.775 0.015 0.705 0.515 0.655 0.495 0.585 0.455 0.430 0.275 0.515 0.370 0.300 0.200 0.420 0.350 0.300 0.190 0.310 0.285 0.250 0.245 Flange Width in. 15.105 10.545 12.955 9.065 11.265 7.635 0.590 14.670 0.510 0.370 0.255 10.425 10.295 7.120 5.525 10.130 8.000 5.025 12.125 8.080 6.560 3.970 10.080 8.020 Thickness in 1.315 1.000 5.810 3.960 8,020 6.535 5.270 4.015 1.220 0.875 1.000 0.810 0.985 0.760 0.715 0.440 0.940 0.855 0.660 0.420 0.810 0.640 0.520 0.225 0.680 0.620 0.510 0.210 0.495 0.465 0.400 0.315 1 in.' 10300 663 5770 380 5170 2700 2190 1170 1490 1110 758 375 1380 882 541 245 Axis 1-1 S in³ 740 394 285 88.6 341 248 170 414 222 53.8 127 231 127 175 134 98.0 75.3 48.0 92.2 47.2 190 123 77.8 35.3 118 64.7 15.6 14.9 12.9 12.2 66.7 49.1 r 10.4 32.4 10.9 9.87 31.2 24.3 18.2 11.8 7.90 7.50 7.10 7.00 6.72 5.41 5.24 6.05 5.89 5.65 757 196 5.38 5.18 5.25 4.62 1 in' 443 109 4.39 4.32 4.38 3.90 253 G0.3 186 138 3.51 3.45 3.49 3.29 43.1 12.4 495 148 Axis 2-2 S 57.7 8.91 241 50.3 24.5 2.36 116 53.4 16.7 100 S 42.6 21.7 37.2 2.18 68,4 24.0 44.9 15.8 9.77 3.41 35.7 26.9 12.1 4.19 67.5 29.3 14.3 3.54 39.7 13.9 in. 3.49 2.25 7.47 1.19 23.0 13.3 r 3.05 1.98 10.6 2.69 1.70 2.51 2.47 1.60 1.17 5.75 1.10 3.74 2.48 1.92 1.08 3.07 1.96 1.54 0.753 2.57 2.0 1.37 0.785 2.03 1.62 6.63 3.71 1.26 1.70 0.876
2.- The composite shaft, made up of segments of steel, aluminum and bronze, supports the two torsion moments shown in the figure. If Tc = 250 lb.ft, determine: a) The reactive torques at A and at B; b) The maximum shear stress developed in each material. The moduli of rigidity G for steel, aluminum, and bronze are 12 x 10 ^6 psi, 4 x 10^6 psi, and 6 x 10^6 psi, respectively. (SEE FIGURE 2) ↓ 1.0 in. 1 Steel 6 ft Aluminum 2 in. FIG 500 lb ft 2 Bronze 1.0 in D 4 ft 3 ft B
Transcribed Image Text:2.- The composite shaft, made up of segments of steel, aluminum and bronze, supports the two torsion moments shown in the figure. If Tc = 250 lb.ft, determine: a) The reactive torques at A and at B; b) The maximum shear stress developed in each material. The moduli of rigidity G for steel, aluminum, and bronze are 12 x 10 ^6 psi, 4 x 10^6 psi, and 6 x 10^6 psi, respectively. (SEE FIGURE 2) ↓ 1.0 in. 1 Steel 6 ft Aluminum 2 in. FIG 500 lb ft 2 Bronze 1.0 in D 4 ft 3 ft B
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