Stress (MPa) 800 Breaking point 600 Elastic limit 400 200 Eļastic behavior Strain 0.002 0.004 0.006 0.008 0.01 0.012

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: Evaluate Young’s modulus for the material whose stress– strain curve is as shown.

A: Solution: Young’s modulus for the material whose stress– strain curve is as shown has given by,

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: Determine the length of the tapered portion if the total deformation of the stepped bar is equal to…

A:

Q: A string 4 mm in diameter has original length 2 m. The string is pulled by a force of 200 N. If the…

A:

Q: 8. Find potential energy per unit volume in compressed bone tissue. Suppose that compressing force…

A: The potential energy stored in a body under compression is, u=UV=σ22YWhere,  U=total potential…

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: A horizontal aluminum rod 2.9 cm in diameter projects 7.2 cm from a wall. A 950 kg object is…

A:

Q: A copper wire of length 6.1 m, cross sectional area 1.7 7 * 10^-6 * m^2 Young's modulus 11 * 10^10…

A: Given data: Length (L) = 6.1 m Cross-sectional area (A) = 1.77×10-6 m2 Young's modulus (Y) = 11×1010…

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

A:

Q: Ex : What is the spring constant of a human femur under compression the linear limit of the femur…

A:

Q: A square steel plate is 10.0 cm on a side and 0.500 cm thick. (a) find the shear strain that results…

A: (a) Find the shear strain applied to each of the four sides of the square steel plate.…

Q: A steel wire 2.5 mm in diameter stretches by 0.038 % when a mass is suspended from it. The elastic…

A: streched wire, ∆x=0.038% of l0 ∆x=0.038100=3.8*10-4  l0

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

A: Given length of steel l = 3m diameter d = 25mm = 2.5×10-2 m radius r = 12.5mm = 1.25×10-2 m Force =…

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: Poisson’s ratio is the ratio of the:  A. unit lateral deformation to the unit longitudinal…

A: The phenomenon in which a material has tendencies to expand in the directions which are…

Q: rizontal aluminum rod 3.4 cm in diameter projects 7.0 cm from a wall. A 810 kg object is suspended…

A: Given: d=3.4 cm L=7cm =0.07mm=810 kgG=3.0*1010 N/m2

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

A:

Q: The body will remain it is previous shape and size only when the deformation caused by the external…

A: Introduction: The elastic deformation is temporary deformation in the object, it occurs in the…

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

A:

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: The pressure increases by 1.0 x 104 N/m2 for every meter of depth beneath the surface of the ocean.…

A: Given: The increase in pressure is 1.0×104 N/m2 per meter. The bulk modulus of Pyrex is 2.6×1010…

Q: A force of 5000N is applied outwardly to each end of a 5.0-m long rod with a radius of 34.0 cm and a…

A:

Q: 40. A body of weight 20 N is suspended from a fixed point O by a light elastic string of natural…

A: The tension produced in the string or spring is directly proportional to the extension as

Q: A wire that is 1.0 mm in diameter and 3.5 m long stretches 3.5 mm when an 8.0-kg tool is hung from…

A: Given data diameter of wire d = 1.0 mm  Radius of wire r = 0.5 mm = 0.5 x 10-3 m Cross section area…

Q: 20. A 20 cm cylindrical brass rod with diameter 6 cm is held vertically on its one circular flat…

A:

Q: An aluminium (Bulk Modulus =70.0 GPa) sphere of radius 53.1 cm is dropped to the bottom of a 2.80 m…

A: We have givenBulk Modulus =70 GPaSphere of radius =53.1 cmDepth of dropped sphere =2.80 m

Q: A cylindrical specimen of a iron with a Young's modulus of 220 GPa has an original length of 220 mm…

A:

Q: 4. Poisson's ratio is the ratio of the A. unit lateral deformation to the unit longitudinal…

A: We know that, Strain : The strain is the ratio of the length and the change of the length. ε=∆LL0…

Q: 03: A wire 10m long of cross section area 1.22 cm' olongatos by 1.5 cm when 4.5 kg is suspended from…

A: Given data: The length of wire is l=10 m. Area of cross-section is A=1.22 cm2. Mass suspended is…

Q: an (1 cm) when a load of (70 kg) is suspended from its lower end. Assume that the Young modulus…

A: we know that    γ = F/A△L/L L=50 m  A= πR2  △L= 1X10-2 m     γ= 3.51x 109 n/m2 let R=r min…

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: For a LEHI material, the principal plane stresses and associated strains in a plane at a point are…

A:

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

A:

Q: A steel rod 55 cm long has a diameter of 30.0 cm.  The compressive strength (the maximum stress it…

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

A: Given: The length of the wire is 3 m. The diameter of the wire is 1 mm. The tenson in the wire is 5…

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: Which of the following are true about the modulus of a spring? Select all that apply. It represents…

A: Modulus of spring is k Such that F = k x where F = Force  x = distance Let's shake each option one…

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…

Q: The graph below represents the stress versus strain for a particular material. Stress (MPa) 800…

A: Young's modulus is defined for linear elastic behaviour only as below.

Q: 1) A 0.4M pipe under compressional stress changes length by 0.05 m .What is the strain in the pipe ?…

A: Given : Original length of pipe = 0.4 m             Change in length of pipe = 0.05 m

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).