A cable used to lift heavy materials like steel I-beams must be strong enough to resist breaking even under a load of 1.0 x 10^6 N. For safety, the cable must support twice that load. a. What cross-sectional area should the cable have if it's to be made of steel? b. By how much will an 8.0-m length of this cable stretch when subject to the 1.0 x 10^6 N load?Tensile strength of steel = 5.0 x 10^8Answers a. 4.0 x 10^-3 m^2 b. 1.0 x 10^-2 m

A cable used to lift heavy materials like steel I-beams must be strong enough to resist breaking even under a load of 1.0 x 10^6 N. For safety, the cable must support twice that load. a. What cross-sectional area should the cable have if it's to be made of steel? b. By how much will an 8.0-m length of this cable stretch when subject to the 1.0 x 10^6 N load?Tensile strength of steel = 5.0 x 10^8Answers a. 4.0 x 10^-3 m^2 b. 1.0 x 10^-2 m

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter14: Static Equilibrium, Elasticity, And Fracture

Section: Chapter Questions

Problem 54PQ

See similar textbooks

Similar questions

Assume Youngs modulus for bone is 1.50 1010 N/m2. The bone breaks if stress greater than 1.50 108 N/m2 is imposed on it. (a) What is the maximum force that can be exerted on the femur bone in the leg if it has a minimum effective diameter of 2.50 cm? (b) If this much force is applied compressively, by how much does the 25.0-cm-long bone shorten?
Consider a nanotube with a Youngs modulus of 2.130 1012 N/m2 that experiences a tensile stress of 5.3 1010 N/m2. Steel has a Youngs modulus of about 2.000 1011 Pa. How much stress would cause a piece of steel to experience the same strain as the nanotube?
(a) When water freezes, its volume increases by 9.05% (that is, V/V0=9.05102 ). What force per unit area is water capable of exerting on a container when it freezes? (It is acceptable to use the bulk modulus of water in this problem.) (b) Is it surprising that such forces can fracture engine blocks, boulders, and the like?
A uniform wire (Y = 2.0 1011 N/m2) is subjected to a longitudinal tensile stress of 4.0 107 N/m2. What is the fractional change in the length of the wire?
A force stretches a wire by 1.0 mm.a. A second wire of the same material has the same cross section and twice the length. How far will it be stretched by the same force?b. A third wire of the same material has the same length and twice the diameter as the first. How far will it be stretched by the same force?
The Achilles tendon connects the muscles in your calf to the back of your foot. When you are sprinting, your Achilles tendon alternately stretches, as you bring your weight down onto your forward foot, and contracts to push you off the ground. A 70 kg runner has an Achilles tendon that is 15 cm long with a typical 1.1 x 10-4 m2 area.a. By how much will the runner’s Achilles tendon stretch if the maximum force on it is 8.0 times his weight, a typical value while running?b. What fraction of the tendon’s length does this correspond to?
The ratio of the tensile (or compressive) strength to the density of a material is a measure of how strong the material is “pound for pound.” A.)What is the strength of tendon (tensile strength 78.6 MPa, density 1100 kg/m3)? ?Pa⋅m3/kg b.)What is the strength of steel (tensile strength 0.690 GPa, density 7700 kg/m3)? ? Pa⋅m3/kg C.)What is the strength of bone (compressive strength 152 MPa, density 1520 kg/m3)? d.)What is the strength of concrete (compressive strength 0.410 GPa, density 2800 kg/m3)?
A solid copper cube has an edge length of 86.9 cm. How much stress must be applied to the cube to reduce the edge length to 87 cm? The bulk modulus of copper is 1.4 x 1011 N/m?. Number i Units
Situation: A simply supported rectangular beam 400 mm wide having an effective depth of 550 mm carries a total factored load of 137 kN/m on a 6 m clear span. It is reinforced with 4914 mm² of tensile steel, which continues uninterrupted into the supports. Use f'c = 28 MPa. What is the factored shear at critical section? a. 616.50 kN b. 335.65 kN C. 541.15 kN d. 411.00 kN What is the Ultimate shear strength provided by concrete only? a. 148.4 kN b. 180.2 kN C. 178.1 kN d. 197.9 kN Throughout what part of the beam is web reinforcement is required? 3m 1.5 m c. 2.46 m d. 0.65 m a. b.
Hello, I need some help with this problem.
5. The homogenous beam, length L = 4.00 m and weight of 100 N supports a 300 N block (see Figure 3). A cord attached to the wall and the beam has maximum tensile 400 N make an angle 0 = 30.0° to the beam. a. If x is the distance between the block center of mass with the wall, find the maximum x before the cord breaks. b. At the maximum x, find the horizontal component, and c. The vertical component of the hinge (Point A). TPM B. Figure 3
A 100 N picture hangs from a nail in the wall. The diameter of the nail is 3.00 mm. The shear stress on the nail is 1.98 x 107 N/m². 1.86 x 107 N/m². 1.62 x 107 N/m². O 1.41 x 107 N/m². O 1.34 x 107 N/m².