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A wrought iron wedge 2 cm long and 9 mm wide is used to attach a pulley to a shaft held still. The pulley has a 15 cm radius and the shaft has a 3 cm radius. A 200 kg block is suspended from the pulley. (a) Calculate the torque produced by the weight. Answer: 294Nm (b) Calculate the shear stress in the key Answer: 54.44 MPa (c) Calculate the maximum mass that can be suspended if you want to respect a safety factor of 5 Answer: 192.5 kg

A wrought iron wedge 2 cm long and 9 mm wide is used to attach a pulley to a shaft held still. The pulley has a 15 cm radius and the shaft has a 3 cm radius. A 200 kg block is suspended from the pulley. (a) Calculate the torque produced by the weight. Answer: 294Nm (b) Calculate the shear stress in the key Answer: 54.44 MPa (c) Calculate the maximum mass that can be suspended if you want to respect a safety factor of 5 Answer: 192.5 kg

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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A wrought iron wedge 2 cm long and 9 mm wide is used to attach a pulley to a shaft held still. The pulley has a 15 cm radius and the shaft has a 3 cm radius. A 200 kg block is suspended from the pulley.

(a) Calculate the torque produced by the weight.

Answer: 294Nm

(b) Calculate the shear stress in the key

Answer: 54.44 MPa

(c) Calculate the maximum mass that can be suspended if you want to respect a safety factor of 5

Answer: 192.5 kg

200 kg Figure 5.13
Transcribed Image Text:200 kg Figure 5.13
AISI Steel Annexe B : Tableaux de référence Composition Composition 44 Acier AISI 1020 Acier AISI 1045 Acier AISI 1095 Acier G40.21 Acier 0,6% C Acier 3,5 % Ni Acier Cr-Ni Stainless Acier inoxydable 304 steel Fer forgé Fonte cl. 20 Fonte cl. 40 Fonte cl. 60 Al 3003-H14 Al 6061-T6 Al 6351-T6 Al 7075-T6 Cu Alliage Mg Laiton 1020 AISE Steet 1045 Iron Tableau B.1: Propriétés physiques de quelques matériaux Ultimate limits Elastic limits Characteristic propreties Limites ultimes Limites élastiques + Alumininium 6061 OUT TLE Ouc MPa Tu OLET OLEC MPa MPa MPa MPa MPa 345 310 310 MPa 448 448 655 655 483 414 414 979 979 724 572 448 448 345 310 760 760 585 415 760 760 450 380 895 895 655 760 579 579 241 324 324 262 193 138 552 221 276 862 379 414 1172 448 152 97 310 207 290 170 538 317 393 255 290 205 140 421 275 255 276 255 462 338 205 345 310 415 380 760 241 193 255 195 E GPa 207 79 207 79 207 79 225 207 79 250 200 77 205 200 77 450 200 190 193 Ou Tu MPa MPa 150 Propriétés caractéristiques a G GPa x10-6/°C 110 76 69 31 38 55 26 26 27 72 28 39 45 18 40 76 110 131 282284 69 69 72 103 103 Tableau B.2: Propriétés physiques de quelques boulons et rivets E GPa G GPa a x10-6 °C 11,7 11,7 11,7 11,7 11,7 11,7 11.7 17,3 11,5 11,3 11.3 11,3 23.2 23,6 23,6 23,6 16,6 18,7 fl 0.288 0,288 0,288 0,288 0,288 0,288 0,288 0,305 0,278 0,270 0.270 0,270 0.330 0,330 0.330 0,330 0.355 0.340
Transcribed Image Text:AISI Steel Annexe B : Tableaux de référence Composition Composition 44 Acier AISI 1020 Acier AISI 1045 Acier AISI 1095 Acier G40.21 Acier 0,6% C Acier 3,5 % Ni Acier Cr-Ni Stainless Acier inoxydable 304 steel Fer forgé Fonte cl. 20 Fonte cl. 40 Fonte cl. 60 Al 3003-H14 Al 6061-T6 Al 6351-T6 Al 7075-T6 Cu Alliage Mg Laiton 1020 AISE Steet 1045 Iron Tableau B.1: Propriétés physiques de quelques matériaux Ultimate limits Elastic limits Characteristic propreties Limites ultimes Limites élastiques + Alumininium 6061 OUT TLE Ouc MPa Tu OLET OLEC MPa MPa MPa MPa MPa 345 310 310 MPa 448 448 655 655 483 414 414 979 979 724 572 448 448 345 310 760 760 585 415 760 760 450 380 895 895 655 760 579 579 241 324 324 262 193 138 552 221 276 862 379 414 1172 448 152 97 310 207 290 170 538 317 393 255 290 205 140 421 275 255 276 255 462 338 205 345 310 415 380 760 241 193 255 195 E GPa 207 79 207 79 207 79 225 207 79 250 200 77 205 200 77 450 200 190 193 Ou Tu MPa MPa 150 Propriétés caractéristiques a G GPa x10-6/°C 110 76 69 31 38 55 26 26 27 72 28 39 45 18 40 76 110 131 282284 69 69 72 103 103 Tableau B.2: Propriétés physiques de quelques boulons et rivets E GPa G GPa a x10-6 °C 11,7 11,7 11,7 11,7 11,7 11,7 11.7 17,3 11,5 11,3 11.3 11,3 23.2 23,6 23,6 23,6 16,6 18,7 fl 0.288 0,288 0,288 0,288 0,288 0,288 0,288 0,305 0,278 0,270 0.270 0,270 0.330 0,330 0.330 0,330 0.355 0.340
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