A torsion test shows that the shear modulus of an aluminum specimen is 4.60 x 10^6 psi. When the same specimen is used in a tensile test, the modulus of elasticity is found to be 12.2 x 10^6 psi. Find Poisson’s ratio for the specimen.

Q: The graph below represents the stress versus strain for a particular material. What is the Young's…

A: The expression for the Young’s modulus is,

Q: steel cable with a cross-sectional area of 3.00 cm^2 has an elastic limit of 2.40x10^8 Pa. Find the…

A:

Q: A horizontal aluminum rod 3.9 cm in diameter projects 5.5 cm from a wall. A 1100 kg object is…

A: a) Determine the shear stress of the rod.

Q: Stress (MPa) 800 Breaking point 600 Elastic limit 400 200 Eļastic behavior Strain 0.002 0.004 0.006…

A:

Q: What is the maximum load that could be suspended from a copper wire of length 1.00 m and radius 1.08…

A:

Q: An ACL has an unloaded length of 3.8 cm and is subject to a tension stress that results in a 5%…

A: Given,

Q: A cylindrical specimen of some metal alloy of 8.5 mm in diameter is stressed elastically in tension.…

A: Given  T = 15700 N. D = 8.5 mm = 0.0085 m ∆D = 5.3*10-3mm

Q: In the Challenger Deep of the Marianas Trench, the depth of seawater is 10.9 km and the pressure is…

A:

Q: Calculate the shear modulus (G) for a cylindrical steel specimen. Assuming the elastic modulus is…

A:

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

A:

Q: A 2 m long steel rod has a cross-sectional area of 0.3 cm?. The rod is a part of a vertical support…

A: The stress of the rod is given by F/A Strain is given by dL/L                    where F= Force…

Q: The following figures show a steel bars of thickness h = 5 mm. the bars are subjected to a force P.…

A: Given: Figures with thickness, h = 5 mm Shear stress, t = 140MPa

Q: The modulus of elasticity of a certain steel material is 200 GPa (Giga Pascal). What is the strain…

A: Modulus of elasticity for a material is defined as the ratio of stress to strain in a body. In this…

Q: A tensile stress is to be applied along the long axis of a cylindrical brass rod that has a diameter…

A:

Q: Human bones have a Young's modulus of 1.5 x 1010 Pa. The bone breaks if stress exceeds 1.5 x 10° Pa.…

A:

Q: Find the modulus of elasticity of a cast iron rod of diameter 20 mm and length 250 mm subjected to a…

A: Diameter of rod = 20 mm So, radius, r = 10 mm = 10-2 m Length of rod, L = 250 mm = 0.25 m Tensile…

Q: A 50-N force is applied to a metal rod with a length of 10 m and a cross- sectional area of 1.0 x…

A:

Q: When a tension is applied to an aluminum wire it stretches 0.1 m. The initial length of the wire is…

A: The solution can be given as follows :-

Q: A horizontal aluminum rod 3.9 cm in diameter projects 7.1 cm from a wall. A 1200 kg object is…

A:

Q: Evaluate Young's modulus for the material whose stress-strain curve is shown in the figure below.…

A: From the figure given stress strain curve, it is clear that the stress of the material corresponding…

Q: The figure shows an approximate plot of stress (10° N/m2) versus strain for a thread that will break…

A: Stress versus strain graph is given for a thread. the stress is plotted along y axis and the strain…

Q: Find the modulus of elasticity of a brass rod of cross section 20 mm x 20 mm and length 250 mm…

A: Cross section Area, A = 20x20 mm2                                 A= 400 X 10-6 m2 Length, L = 250…

Q: Find modulus of elasticity of a brass rod of length 200 mm which is subjected to a tensile stress of…

A: Given :- length of rod = 200 mm stress = 275 MPa extension of rod =0.55mm therefore strain =…

Q: 1. Rank the following materials based on its rigidity, where 1 is the most rigid and 3 is the least…

A:

Q: steel wire 2.0 mm in diameter stretches by 0.029 % when a mass is suspended from it. The elastic…

A:

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: A wire has a mass 5.3 g and length 2.50m. A force of 50 N can extend it by 2.3 mm. Determine (a) the…

A: we know that  density = mass/volume 2.7x103=5.3x10-3A x 2.5Area = A = 7.85 x10-7 m2

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

A: Given data as per question Young modulus = 21*1010 Force  =    7*105  A    =  0.25

Q: A 15 cm long animal tendon was found to stretch 3.7 mm by a force of 13.4 N. The tendon was…

A: Given : Lo = 15 cm = 0.15 m ∆L = 3.7 mm = 3.7 x 10-3 m F = 13.4 N  d = 8.5 mm = 8.5 x 10-3 m

Q: A steel wire, 3.2 m long, has a diameter of 1.2 mm. The wire stretches 1.6 mm when it bears a load.…

A:

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: The base of an aluminum block, which is fixed in place, measures 10 cm by 10 cm, and the height of…

A: Given data: Dimensions of block is, 10 cm×10 cm.  Height of block is, L=80 cm=0.8 m. Magnitude of…

Q: A square flat plate of dimensions 1 m x 1 m is moving with a maximum speed , U causing a fully…

A: The given values are, A=1 m×1 m=1 m2ρ=1.2 kg/m3υ=1.5×10-5 m2/s

Q: Problem Solving... A torsion test shows that the shear modulus of an aluminum specimen is 4.60 x…

A:

Q: Steel beams are used for load bearing supports in a building. Each beam is 4.0 m long with a…

A: Y=F/A∆L/L∆L=FLAY=4.9×104 N4.0 m9.1×10-3 m2210×109 N/m2=0.10×10-3 m1 mm10-3 m=0.10 mm

Q: A small steel cube (side length 2.54 cm) is being tested by subjecting it to compressive forces of…

A:

Q: A bar of an advanced alloy having an elastic modulus of 107 GPa and an original diameter of 3.8 mm…

A:

Q: A 439 kg load is hung on a wire of length 9 m, cross-sectional area 0.200 x 10–4 m2, and Young's…

A:

Q: When the material is in the region of the stress-strain curve, the material can go back to its…

A: Answer (C) Elastic, temporarily

Q: A cylindrical specimen of some metal alloy of 8 mm in diameter is stressed elastically in tension. A…

A:

Q: Bulk Modulus: A 12-L volume of oil is subjected to pressure which produces a volume strain of -3.0 ×…

A: Given : the bulk modulus of oil, B = 6.0 × 109 Pa volume strain, ΔV/V =  -3.0 × 10-4  volume of oil,…

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: A small steel cube (side length 2.54 cm) is being tested by subjecting it to compressive forces of…

A: Given data:  Side length (L) = 2.54 cm = 2.54 × 10-2 m Force (F) = 5.00 MN = 5.00 × 106 N Young's…

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).