A steel cable with a nominal diameter of 32 mm (see the table below) is used in a construction yard to lift a bridge section weighing 42 kN, as shown in the following figure.Properties of Steel CablesNominal Diameter Approximate Weight Effective AreaUltimate Loadin.Ib/ftN/min?mm2IbkNmm0.50120.426.10.11976.723,1001020.75200.9513.90.26817351,9002311.00251.6724.40.47130491,3004061.25322.6438.50.745481144,0006411.50383.8355.91.08697209,0009301.75445.2476.41.47948285,00012602.00506.8499.81.921230372,0001650The table is to be used solely for solving this problem.The cable has an effective modulus of elasticity E = 140 GPa.(a) If the cable is 19 m long, how much will it stretch (in mm) when the load is picked up? (Use the deformation sign convention.)mm(b) If the cable is rated for a maximum load of 65 kN, what is the factor of safety with respect to failure of the cable?

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Description: A steel cable with a nominal diameter of 32 mm (see the table below) is used in a construction yard to lift a bridge section weighing 42 kN, as shown in the following figure.Properties of Steel CablesNominal Diameter Approximate Weight Effective Are

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A steel cable with a nominal diameter of 32 mm (see the table below) is used in a construction yard to lift a bridge section weighing 42 kN, as shown in the following figure. Properties of Steel Cables Nominal Diameter Approximate Weight Effective Area Ultimate Load in. Ib/ft N/m in? mm2 Ib kN mm 0.50 12 0.42 6.1 0.119 76.7 23,100 102 0.75 20 0.95 13.9 0.268 173 51,900 231 1.00 25 1.67 24.4 0.471 304 91,300 406 1.25 32 2.64 38.5 0.745 481 144,000 641 1.50 38 3.83 55.9 1.08 697 209,000 930 285,000 1260 1.75 44 5.24 76.4 1.47 948 2.00 50 6.84 99.8 1.92 1230 372,000 1650 The table is to be used solely for solving this problem. The cable has an effective modulus of elasticity E = 140 GPa. (a) If the cable is 19 m long, how much will it stretch (in mm) when the load is picked up? (Use the deformation sign convention.) ] mm (b) If the cable is rated for a maximum load of 65 kN, what is the factor of safety with respect to failure of the cable?

A steel cable with a nominal diameter of 32 mm (see the table below) is used in a construction yard to lift a bridge section weighing 42 kN, as shown in the following figure. Properties of Steel Cables Nominal Diameter Approximate Weight Effective Area Ultimate Load in. Ib/ft N/m in? mm2 Ib kN mm 0.50 12 0.42 6.1 0.119 76.7 23,100 102 0.75 20 0.95 13.9 0.268 173 51,900 231 1.00 25 1.67 24.4 0.471 304 91,300 406 1.25 32 2.64 38.5 0.745 481 144,000 641 1.50 38 3.83 55.9 1.08 697 209,000 930 285,000 1260 1.75 44 5.24 76.4 1.47 948 2.00 50 6.84 99.8 1.92 1230 372,000 1650 The table is to be used solely for solving this problem. The cable has an effective modulus of elasticity E = 140 GPa. (a) If the cable is 19 m long, how much will it stretch (in mm) when the load is picked up? (Use the deformation sign convention.) ] mm (b) If the cable is rated for a maximum load of 65 kN, what is the factor of safety with respect to failure of the cable?

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter65: Achievement Review—section Six

Section: Chapter Questions

Problem 44AR: Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places...

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