A cable used to lift heavy materials like steel I-beams must be strong enough to resist breaking even under a load of 1.7  106 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 a 7.0-m length of this cable stretch when subject to the 1.7  106-N load?

Q: By what amount does the nylon stretch?

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Q: A 22.0 m long aluminum cable with a cross-sectional area of 2.04 x 10-3 m2 is used to suspend a 4.00…

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A: Write the expression for Young’s modulus, solve it for the stress of the copper rod as follows.

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Q: Calculate the strain of a brass rod of length 250 mm which is subjected to a tensile load of 50 kN…

A: Length , L = 250 mm Elongation , ∆L = 0.2 mm Load , F = 50 kN To find = Strain

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Q: A circular steel wire 2.00 m long must stretch no more than 0.25 cm when a tensile force of 400 N…

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Q: A cable used to lift heavy materials like steel I-beams must be strong enough to resist breaking…

A: In this case, the tensile strength σ=250 MPa=2.5×108 Pa   The force, F=1.3×106 N

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Q: What shear stress is needed to produce a shear strain of 2.50 x 10-5 on an aluminum block?

A: shear modulus=shear stressshear strainshear stress=shear modulusshear strain

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Q: A wire of circular cross-section, has a tensile force of 60.0 N applied to it and this force…

A: Here, σ=FAA=Fσ=60.0N3.06×106 Pa=19.61×10-6 m2=19.61 mm2

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A: Given that a tension of 70 N is applied to a piano wire of length 1.8 m, it stretches by 2.0 mm. If…

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A: The expression used to calculate diameter of the wire is s=FA=Fπd24d=4Fπs

Q: 8.5 A welded connection of steel plates is shown in Fig. 8.76. It is subjected to an eccentric force…

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Mechanical Properties of Solids

There are three types of matter- solid, liquid and gas. Out of them, solids have a rigid shaped and size. The intermolecular forces of attractions in solids are greatest. Mechanical properties are the physical properties of a material which it shows, when it is provided with certain amount of force or load. These properties are to be kept in mind for various purposes. When a force is applied to an object, the object may or may not get deformed depending upon its elastic property. But every time the object develops a restoring force against the force applied. This is commonly known as stress. If the object changes its dimensions due to the force applied it develops strain ( which is the ratio of change in dimension to the original dimension).