Calculate the volumetric change in a copper cube of side length (40mm) when subjected to a pressure of (20MPa). If you know that the modulus of volumetric elasticity of copper is equal to (125GPa)?

Q: Tensile load of 2 MN is applied to an Aluminium cord with original diameter of 5 mm, the measured…

A: Given: Tensile load, F = 2MN = 2 x 106 N Diameter of rod = d = 5 mm = 5 x 10-3 m Length stretched =…

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: A makeshift compact torsional spring is made of steel (Gst = 11,000,000 psi) and is composed of a…

A: Given that a  makeshift compact torsional spring is made of steel (Gst =11,000,000 psi) and is…

Q: A specimen of oil having an initial volume of 600cm3 is subjected to a pressure increase of 3.6 x…

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Q: A stainless steel tube with an outside diameter of 46 mm and a wall thickness of 5 mm is used as a…

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Q: A rubber band 20 cm long has a cross-sectional area of 0.04cm^2. What load (in dynes) will stretch…

A: Given data: The length of the rubber band is L = 20 cm. The cross-sectional area of the rubber band…

Q: Two wires are made of the same material, their Young’s Modulus constant is 10 x10^10 Pa. Wire X is 4…

A: Given: Two wires are X & Y. Young's modulus constant, γ=10×1010 Pa Considered wire Y length be…

Q: Give answers in scientific notation. A sphere of copper is subjected to 120 MPa of pressure. The…

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Q: A steel bar is stresses to 250 MPa. The modulus of elasticity is 250 GPa. The bar is 80 mm diameter…

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Q: Artificial diamonds can be made using high-pressure, high-temperature presses. Suppose an artificial…

A: Initial volume (V) = 1.28×10-6 m3 Pressure or Stress (P) = 5.05 GPa or 5.05×109 Pa Bulk Modulus (B)…

Q: Nylon strips are fused to glass plates. When moderately heated the nylon will become soft while the…

A: Given data: Observe from the diagram, Total displacement of layers D = 2 mm Height of stripe L = 5…

Q: A steel rod (E = 200 Gpa) has a Ilong. Circular Cross section 20m long. Determine the minmum…

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Q: A body of mass 500 kg is suspended at the free end of an iron wire of length 3 m and cross-sectional…

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

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Q: If the Junk modulus of Y is 160GPA and the shear modulus of elasticity is 0.25Y, what is the value…

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Q: If the velocity distribution over a plate is given by u=2/3 y-y2 in which u is velocity in meter per…

A: The formula for the shear stress is: Therefore,

Q: A copper wire of length 2.2m and a steel wire of length 1.6m both of diameter 3.0mm, are connected…

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Q: A specimen of oil having an initial volume of 600 cm3 is subjected to a pressure increase of 3.6 *…

A: Given, Initial volume, V0=600 cm3, pressure increase, ∆P=3.6×106 Pa, and volume decrease, ∆V=0.45…

Q: Artificial diamonds can be made using high-pressure, hightemperature presses. Suppose an artificial…

A: Bulk modulus is given by

Q: A copper wire of length 3 m and 1 mm diameter is subjected to a tension of 5 N. Calculate the…

A: Length = 3 m diameter = 1mm radius = 0.5 mm tension = 5 N Young's modulus of copper = 11×1010 Pa

Q: Q. 10. 9 Some claim that mountain climbers suffer from headaches due not only to a lack of oxygen…

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Q: A material is 250 cm long, 8 cm wide and 10 cm deep. The material is subjected to an axial force of…

A: Given: Length of material, L = 250 cm = 2.5 m  width of material, b = 8 cm = 0.08 m  depth of…

Q: Oil in hydraulic cylinder is compressed from an initial volume 3 m³ to 2.12 m³. If the pressure of…

A: Initial volume, v = 3 m³ Final volume, V = 2.12 m³ Initial pressure, p = 50 MPa Final pressure, P =…

Q: Artificial diamonds can be made using high-pressure, high-temperature presses. Suppose an artificial…

A: Given data : pressure under which diamond is kept, P = 4.70 Gpa = 4.7 × 109 Pa Bulk modulus of…

Q: The velocity v (m/s) of air flowing past a flat surface is measured at several distances y (m)…

A: Newton’s viscosity law,

Q: Between each pair of vertebrae in the spinal column is a cylindrical disc of cartilage. Typically,…

A: Given:- this disc has a radius of about 3.2 x 10-2  m  a thickness of about 1.2 x 10-3 m. The shear…

Q: A 4.5 long iron rod with a cross-sectional area of 0.75 centimeter square stretches 0.85 mm when a…

A: ∆LL=0.85×10-34.5=0.19×10-3 Force, F=mg=195×9.8=1911 N Where m is mass. Area, A=0.75 cm2=0.75×10-4 m2…

Q: A cast iron rod of diameter 18 mm and length of 240 mm is subjected to a tensile load of 100 kN, and…

A: Given. T = 100KN = 100,000 N D = 18mm = 0.018 m L = 240mm = 0.24m ∆L = 0.0006 m

Q: The pressure in an explosion chamber is 345M Pa. What would be the per cent change in volume of…

A: Let P be the pressure, B be the bulk modulus of the chamber, V be the volume.Write the expression…

Q: Consider a structure including the horizontal beam AB hinged to the wall at point A and supported by…

A: According to our policies, I can answer only first three subparts of this problem. The detailed…

Q: 3. A steel beam is placed vertically in the basement of a building to keep the floor above from…

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Q: A steel bar 100 mm long and having a square cross section 20 mm on an edge is pulled in tension with…

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Q: Suppose that an object was formed using 7.25 x 10° Pa. When it was released from the press and…

A: Given  :     Pressure, P1 = 7.25*108 Pa     Pressure, P2 = 1.01*105 Pa       Change in Pressure, ∆P…

Q: Find the modulus of elasticity of a brass rod of cross section 20 mm x 20 mm, and length 248 mm…

A: Tensile load(T)= 50 KN Elongation (e)= 0.25 mm = 2.5× 10-⁴ m Length of the rod(L)= 248 mm= 0.248 m…

Q: Two wires are made of the same material, their Young’s Modulus constant is 10 x10^10 Pa. Wire X is 5…

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Q: A 10Kg mass is attached to one end of a copper wire 3m long and 1mm in diameter. Calculate the…

A: Let F be the force on the wire, D be its diameter, Y be the Young’s modulus.Write the expression for…

Q: A 3m long steel bar whose diameter is 25 mm is compressed by a 25 KN force. If the value of the…

A: The stress is defined as the force per unit area.

Q: Consider a titanium cylindrical wire of 3.0 mm in diameter and 2.5x102 mm in length. Calculate your…

A: Given: Diameter of the wire D=3 mm            Length of the wire L0= 2.5x102 mm= 2.5x102x10-3 m…

Q: The edge of an aluminium cube is 10 cm long. One face of the cube is firmly fixed to a vertical…

A: Given information:The side length of the aluminium cube (l) = 10 cm = 0.1 mThe mass of the…

Q: Artificial diamonds can be made using high-pressure, high-temperature presses. Suppose an artificial…

A: Explanation From the defintion of Bulk modulus we get, B=-∆P∆VV  .......................(1) where is…

Q: A steel rectangular block, a = 2.4cm wide and b =1.2 cm deep, is subjected to an axial tensile load…

A: Modulus of elasticity for a volume object is known as Bulk modulus of elasticity.

Q: Betwoen each pair of vertebrae in the spinal column is a cylindrical disc of cartilage. Typically,…

A:

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).