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

Q: A steel cube of side length L = 0.5 m is subjected to a shearing force of 5000 N along the top…

A: Length=0.5m Shear force=5000N Shear constant=8.3×10^10N/m2 Shearing angle=?

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: In the linear region of the Strain vs. Stress diagram is called Elastic Modulus * O True False

A: False The linear region is not Elastic modulus

Q: Draw the shear and moment diagram for the beam shown and find the maximum moment. 7N A B, C 6m 4m

A:

Q: A 20 g rectangle block of aluminium is 35 cm by  45 cm by 15 cm when unstressed. A force is applied…

A: Given information: The mass of the rectangle aluminum block (m) = 20 g = 0.02 kg The dimensions of…

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

A:

Q: For an elastic wire under tension there is, under certain conditions, a simple rela- tion between…

A: Tension = tension is produced in body  due to internal molecule when we applied a external force on…

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: Type of strain that measures the amount of distortion. * O Normal Strain O Shear Strain O Strain O…

A:

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

A:

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: A metal slab of side (74+ 75) cm and thickness (74 + 25) cm is subjected to a tangential force of…

A:

Q: A rectangular piece of wood, 50 mm x 100 mm in cross-section is used as a compression block as shown…

A:

Q: The wing of an aircraft is loaded by a torsional moment MT, creating a shear flow. What unit does…

A: Given: The torsional moment is MT. The shear flow is q.   Shear Flow:Shear flow is described as…

Q: Explain the tem bulk modulus.

A: The bulk modulus is defined as a constant that describes how resistant a substance  is to stress. It…

Q: A material of Poisson's ratio 0.5. If a uniform rod it suffers a longitudinal strain of 2*10 -3,…

A: Poisson ration

Q: The Young modulus of steel is determined using a length of steel wire and is found to have the value…

A:

Q: Young's modulus of steel is 1.9 x 10" N/m2.What is the value of the Young's modulus if expressed in…

A: Given data :- Young's modulus of steel in S.I unit is given as                      Y = 1.9 × 1011…

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

A:

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

A:

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 10.2 m long wire with a cross-sectional area of 0.126 cm2 stretches by 0.196 cm when a tensile…

A: The given values are, L=10.2 mA=0.126 cm2=0.126×10-4 m2∆L=0.196 cm=0.196×10-2 mF=6250 N

Q: For the beam and loading shown, determine the maximum absolute value of bending moment and shear.

A: Draw the free-body diagram of the beam.

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: 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: The bulk modulus of K, modulus of elasticity E and Poisson's ratio is then which of m the following…

A: The relation between the bulk modulus(K), modulus of Elasticity(E) and the Poisson's ratio(ν) is…

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

A:

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

A:

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

A:

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

A:

Q: the point that identifies the proportional limit of the material whosee graph of stress as a…

A:

Q: What is the slope of the tangent drawn to the net force curve at equilibrium distance? Lütfen birini…

A: Required : What is the slope of the tangent drawn to the net force curve at equilibrium distance.…

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

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

A:

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: In the linear region of the Strain vs. Stress diagram is called Elastic Modulus *

A: Elastic Modulus= Stress/Strain In linear region, stress is proportional to strain.

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

A:

Q: Jsing the circle (radius = r =2 cm) and ellipse (long axis = 3 cm, short axis = 1.5 cm) of Figure…

A:

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).