A material of Poisson's ratio 0.5. If a uniform rod it suffers a longitudinal strain of 2*10 -3, what is the percentage increase in volume?

Q: A steel wire is stretched by 1 kg wt. If the radius of the wire is doubled, how will Young's modulus…

A: Young’s modulus is a property of a material which is the ratio of the stress to the strain.

Q: By what amount does the nylon stretch?

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Q: The bulk modulus of polystyrene is 3.43 GPa. Calculate the hydrostatic pressure (stress) needed for…

A: Bulk modulus of polystyrene B = 3.43 GPa = 3.43×109 Pa The fractional  change in volume  is  Where…

Q: True or False: A cylindrical rod with a cross sectional area of 0.1 m^2 which is subjected to a…

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Q: 3 x 10, then find out the percentage change in its volume. is applied on it due to which it suffers…

A: Poisson's ratio is defined as the ratio between transverse strain and longitudinal strain.

Q: An aluminium wire, initially 2.45 m long and diameter of 1.5 mm, is suspended from a rigid support…

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Q: The figure represents an insect caught at the midpoint of a spider-web thread. The thread breaks…

A: Given,breaking stress of the string, 9.2 ×108 N/m2strain, 2.00lengthh of the thread, L = 3.0 cmcross…

Q: Young's modulus of iron rod is 21 × 1010 N/m2. A force of 7.0 × 105 N is applied to a 1.5-m length…

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Q: The steel rod with a diameter 15 mm is applied by a load of 15KN due to the load the diameter of the…

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Q: A metal wire 1.0 mm in diameter and 2.0 m long hangs vertically with a 6 kg mass suspended from it.…

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Q: Find the minimum diameter of a (50 m)-long nylon string that will stretch no more than (1 cm) when a…

A: We are allowed to give the explanation of first question only which is given below.  Please repost…

Q: 0.02 1 1.4 0.5 0.04 2 2.8 1 0.06 3 4.2 1.5 0.08 4 5.6 2 0.1 5 7 2.5

A: Solution:

Q: A cylindrical specimen of a titanium alloy having an elastic modulus of 108 GPa and an original…

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Q: In normal motion, the load exerted on the hip joint is 2.5 times body weight. (a) Calculate the…

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Q: An aluminum wire is 0.850 m long and has a circular cross section of diameter 0.780 mm. Fixed at the…

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Q: te=120 (2) 457 tレ Oa = 60 the figure (0,c=0), find the principal Q-For the plane stress case shown…

A: Given : A plane stress case.

Q: A steel rod with cross-sectional area 1.00 × 10^(−5) m^2 is fixed on one end and pulled by Superman…

A: Given, cross-sectional area A = 1.00 × 10^(−5) m^2 Force F = 5.00 × 10^3 N Youngs modulus = Y = 2.00…

Q: . One end of a steel rod of radius R = 9.5 mm and length L = 81 cm is held in a vise. A force of…

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Q: A cube made of an unknown material has a dimension of 6 cm on all edges. If the upper face is…

A: Shear modulus of the material is, η=FLAx=FLL2x=FLx

Q: Prove that elastic energy density is (1/2) stress* strain.

A: Write the expression for young’s modulus and solve for force.

Q: The young modulus of a material whose elastic strain and stress are 1.53 and 169.42 N/m²…

A: The elastic strain, strain=1.53   The stress, stress=169.42 N/m2

Q: A copper wire of length 23.179 is designed to withstand a maximum tension of 657 N and 0.627%…

A: Given  Length of copper wire  L = 23.179 m Tension  T = 657 N Strain  ∆L/L × 100 = 0.627 %  ∆L/L =…

Q: The change in the relative configuration of point within a solid is called strain

A: In the given question we have to discuss about the strain.

Q: A steel wire having a radius of 2.0 mm, carrying a load of 4kg, is hanging from a ceiling. Given…

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Q: A piece of steel wire, 200.0 cm long and having e cross-sectional area of 0.50 mm2, is stretched by…

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Q: A thin rectangular plate is uniformly deformed, as shown. Determine the shear strain yy at P. Assume…

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Q: The young's modulus of a material whose elastic strain and stress are 0.41 and 355.53 N/m?…

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Q: A system requires a metal component with the design specification that it not experience more than…

A: Given data: The stain is ε=0.1%=1×10-3 The range of the stress is σ=0,1000 kPa First, calculate…

Q: A vertical steel girder with a crosssectional area of 0.15 m2 has a 1550 kg sign hanging from its…

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Q: A box-shaped piece of gelatin dessert has a top area of 15 cm² and a height of 3.0 cm. When a…

A: Given, Area A  = 15 cm2 Height h = 3.0 cm  Force F = 0.50 N

Q: The five-bolt connection must support an applied load of P = 3400 lb. If the average shear stress in…

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Q: 3.7 There is an imprecise relationship between the flexural strength and volumetric strain of a…

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Q: Q2.8/ If the tensile stresses generated in a copper rod after the influence of external forces (ot…

A: Given data: The tensile stress in the material is σt=2158.2104 N/m2. The longitudinal strain is…

Q: A solid copper cube has an edge length of 81.9 cm. How much stress must be applied to the cube to…

A: Given  Initial length l1 = 81.9 cm = 0.819 m  Final length l2  = 81 cm = 0.81 m  Bulk modulus B =…

Q: 4-A cylindrical steel specimen is subjected to a stress of (100 Mpa). If the axial strain ( E. ) is…

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Q: A steel wire having a radius of 2.0 mm, carrying a load of 4 kg, is hanging from a ceiling. Given…

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Q: A wire of uniform 1mm ^ 2 radius is fixed at its top end and has a weight tied at the other end. If…

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Q: The young's modulus of a material whose elastic strain and stress are 0.33 and 145.23 N/m?…

A: Given information: The strain in a material is, ε=0.33 The stress inside the material is, σ=145.23…

Q: A cube made of an unknown material has a dimension of 6 cm on all edges. If the upper face is…

A: shear modulus is given by, G =FlA∆xwhere, F=force acting on the body =2×106 dynes = 20 Nl =initial…

Q: A solid copper cube has an edge length of 85.3 cm. Ho w much st The bulk modulus of copper is 1.4x…

A: givenLi=85.3 cmLf=85 cmK=1.4×1011 N/m2

Q: 5.7 During the test of a specimen in a tensile testing ma- chine, it is found that the specimen…

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Q: If the same force F pulls on two cylindrical rods of the same material, which has a greater change…

A: Y=F/A∆L/L=FLA∆L∆L=FLAY=FLπr2Y

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).