Define the term strain-energy density?

Q: Is the strain energy per unit volume, or strain energy density, is equivalent to the area under the…

A: Given data: The tension in the specimen is The area of cross-section is The length of the specimen…

Q: explain stress strain diagram

A: Suppose that a metal specimen be placed in tension-compression-testing machine. As the axial load…

Q: d) If a material of a component has a youngs modulus of elasticity of 800 GPa, what strain will be…

A: Given data: E=800 GPaσ=5 MPa Need to determine the strain.

Q: Define the term absolute maximum shear stress in the material?

A: Let us understand the term Absolute maximum shear stress by help of Mohr's circle.

Q: A steel rod, 2 m long and 20 mm x 20 mm in cross section, is subjected to a tensile force of 40 kN.…

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Q: Calculate the strain in a metal with a Young’s modulus of 210 GPa and subjected to 440 MPa.

A: Answer: The strain in the metal is 0.002095 .

Q: Define the term homogeneous linear elastic material?

A: A linear elastic material is the one that obeys Hooke's law i.e. in which the strain is directly…

Q: Identify the material that has a maximum modulus of elasticity from the following stress-strain…

A: Material A has higher modules of elasticity.

Q: A specimen of copper having a rectangular cross section 1.20 in. x 1.5 in.) is pulled in tension…

A: Given:-  Rectangular Copper Specimen  Coss sectional area (A) = 1.20×1.5 in2  Tensile Force (F) =…

Q: Explain ELASTIC STRAIN ENERGY FOR VARIOUS TYPES OF LOADING?

A: The energy stored in a body up to elastic limit under certain loading is called the elastic strain…

Q: Define the term Mohr's Circle—Plane Strain?

A: To find Mohr’s Circle – Plane strain

Q: a) What is the modulus of elasticity? b) What is the proportional limit? c) What is the yield…

A: Data given- Stress strain diagram for the steel alloy

Q: Is the normal-strain distribution over the cross-section of a beam based on geometric…

A: It refers to the quantification of the adjustment or expansion a body undertakes when exposed to a…

Q: Define the strain (or elastic) energy release rate first in words, then as an energy-based equation.

A: To define the strain (or elastic) energy release rate first in words, then as an energy based…

Q: Sketch a representative stress-strain digrama for a ductile material showing the following on it…

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Q: what is the relation between modulus of elasticity

A: Given: Modulus of elasticity=E Bulk modulus=K

Q: Define the term volume modulus of elasticity?

A: Bulk modulus or volume modulus of elasticity:- When a material is subjected to direct stress then in…

Q: Define the term modulus of elasticity of the material?

A: Modulus of elasticity (E): It is described as the proportion of material stress upon strain. It is…

Q: When is the Strain energy stored in a material?

A: Answer : When an external force or load is acting on a body, there stores an internal energy due to…

Q: Which ones are hoop stress & strain and longitudinal stress and strain in the below images?

A: The normal strain for orientation can be given by the expression, ε=εxxcos2θ+εyysin2θ+2γxy2sinθcosθ…

Q: H.w./ A specimen of copper having a rectangular cross section 15.2 mm 19.1 mm is pulled in tension…

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Q: Write the equations for elastic strain energy?

A: The equations of strain energy (U) in different conditions are: (a) The formula for strain energy…

Q: Compare between the theoretical and practical stress strain diagram.

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Q: A 0.1-in wire that is 10-in long and supports a 100-lb weight stretches a total of 0.1-in. What is…

A: Given question belongs to the subject Strength of materials and can be solved using the concepts of…

Q: You are given a square rod of 6061-T6 aluminum (cross-section = 4mm X 4mm, length = 2.3m).  The…

A: The cross section of the square rod is, A=4 mm×4 mm The length of the rod is, L=2.3 m The Young's…

Q: what is transverse shear stress and what is the equation and units?

A: ◆ The stress generated due to internal shear force acting on the cross-section of the beam is…

Q: 27d)  If a material of a component has a youngs modulus of elasticity of 500 GPa, what strain will…

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Q: Identify the material as shown in figure below. Nominal Strain Rigid Material Perfectly plastic…

A: Following are the stress-strain curve for the given materials.

Q: What is strain energy? How is it calculated?

A: Strain energy:- When a body goes under deformation under the application of load then in that case…

Q: Define the term Elastic Curve?

A: when a beam is loaded, its central axis line becomes a curved line, this curved line is called…

Q: Draw a structure which satisfies plane strain condition

A: Plane strain is state of strain, when strain normal to the x and y plane is zero. Also shear strain…

Q: A specimen of copper having a cross section of O.600 inch in diameter and a length of 25.0 inches is…

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Q: According to Hooke’s law, how can we express the elastic strain energy density?

A: Expression of elastic strain energy density  u=12Eε2

Q: B A specimen of copper having a rectangular cross section 15.2 mm × 19.1 mm (0.60 in. × 0.75 in.) is…

A: Taking modulus of elasticity of copper be 120 GPa.

Q: A metal bar 5.0 m long extends by 0.05 mm when a tensile load is applied to it. The percentage…

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Q: Define the term Absolute  Maximum Shear Strain?

A: Shear strain: It is the change in dimension of an object due to the application of shear stress.

Q: Using Hooke’s law develop an equation that can be used to determine the elastic displacement?

A: Hooke's law says that when a material behaves elastically and exhibits a linear relationship between…

Q: Can the strain energy be related to the internal loadings?

A: Yes, the strain energy in the beam is related to the internal loading. The applied load at the beam…

Q: Define the term Stresses on Arbitrary Plane?

A: In general, we can define the stress vector acting on an arbitrary plane with direction cosines la1,…

Q: When a tensile load of 20kN is applied to a rod of length 5 cm changes its length by 1 mm. The…

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Q: Sketch two more stress-strain diagrams, again one for a ductile material and one for a brittle…

A: Stress and strain: Stress is defined as the internal resisting force per unit area; it represents…

Q: A titanium tube with an outside diameter of 25 mm and inside diameter of 20 mm and a length of 200…

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Q: Define the modulus of elasticity?

A: modulus of elasticity is a property of a material.

Q: What is the strain energy density and how can it be expressed?

A: Strain energy is characterised as energy stored in the body as a result of deformation.

Q: In Figure 1, if the Young modulus is 200 Gpa, the strain percentage in the direction of the normal…

A: Normal Force = P cos 30 = 400 * cos 30 = 346.41016 kN stress = normal force / area = 0.57735 kN/mm^2

Q: True stress-strain Engineering stress-strain strain Calculate the engineering ultimate tensile…

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Q: List application related to strain energy

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Q: xplain the difference between Modulus of elasticity and Stiffness?

A: The elastic modulus measures the stiffness in a material, but strength is a function of the modulus.…

Strain energy

The term strain indicates the variation in an object's length, area, and volume when the object is subjected to an external force. The external force may be of normal, shear, moment, torque, etc. The strain in an object depends on the types of external force and cross-section of the object. Mathematically, the evaluation of strain can be obtained with the help of elastic constants.