What results do we get when shear stress is applied to homogeneous isotropic material?

Q: What are the general equations of plane stress transformation?

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Q: What is the transformation of strain at a point?

A: The strain transformation at a point occurs only when the stress acting on the material is plane…

Q: a) Show that for an isotropic lamina in plane stress, the strain-stress relations are

A: The generalized Hook's law can be expressed for a three-dimensional elastic anisotropic body as,…

Q: How are the stress components transformed?

A: Consider a plane truss. Let, σx and σy be the normal stress acting along x and y-axis,…

Q: Do ductile materials fail in shear?

A: The type of materials that undergo considerable plastic deformation before fracture are known as…

Q: How can the principal normal strains and maximum in-plane shear strain be determined?

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Q: What is the Distortion energy failure theory? Under what loading types and materials would you use…

A: The Distortion energy failure theory states that a material yields or fails when the total…

Q: A material has an appreciable elongation without any increase in load is

A: Answer: B. Yielding A material has an appreciable elongation without any increase in load is called…

Q: How we can measure shear modulus?

A: The earth's material reaction to shear deformation is measured in shear modulus. The ratio of…

Q: A material is made in square cross section of side 1 cm. When 2kN force applied on the material.…

A: given square cross section of side (S)=1 cm                                           s = 10mm…

Q: Write out the most general expression for tension orcompression strain along a single axis resulting…

A: The Strain is defined as the ratio of the change in dimension to the initial dimension of the object…

Q: By performing torsion tests, which develop pure shear in a ductile specimen, does the maximum…

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Q: Give an example of the Absolute Maximum Shear Strain?

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Q: When a thin cylinder is subjected to an internal pressure p, the tangential stress should be the…

A: When a thin cylinder is subjected under the internal pressure, the stress will be distributed over…

Q: In the case of plane stress, how can the plane-strain analysis be used?

A: Plane stress arises in case of thin components. Plane strain arises in case of very thick…

Q: What is Strain Energy?

A: The energy stored within a deformable material when it undergoes elastic deformation under an…

Q: When can the shear stress be determined from the torsion formula?

A: Let a solid circular shaft fixed at one end is applied with an external torque. There will be…

Q: Is internal work also called strain energy?

A: Yes, the internal work is also called strain energy. When an external load is applied to the body,…

Q: Hooke's law describes the stress-strain relationship of the material in the

A: Given:- Hooke's law To find:- Relationship of Hooke's law

Q: Is the strain energy always positive?

A: Strain energy for axial load (S.E)=12×P×δ                        (Deformation= δ=P×LA×E )(S.E)=12×P×…

Q: Distinguish between the Normal and Shear Stress Components?

A: Normal and shear stress components are distinguished by their direction with respect to the area on…

Q: What is the difference between direct and shear stress?

A: The difference between direct and shear stresses are: 1. Direct stresses are induced in the body…

Q: explain the state of plane stress and plane strain.

A: Given: stress and strain system To write: Plane stress and strain system

Q: The change in length of a material is, mm, when the longitudinal strain and original length values…

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Q: What are the two parts of strain-energy density?with

A: The strain energy per unit volume is known as the strain energy density also can be described as the…

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: In stress and strain diagram for a perfectly ductile material, the yield strength, and ultimate…

A: In the given Statement it is mentioned that stress strain curve of perfect ductile material have…

Q: Do the deformations occur only in a single plane when an element of material is subjected to…

A: Deformations occur in every plane passing through an element of material subjected to deformation.…

Q: Explain the relation of stress transformation in detail

A: The equations describing stress transformation are the parametric equations of a circle. We can…

Q: 2) The strength coefficient and strain-hardening exponent of a certain test metal are 750 MPa and…

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Q: What must be true about the dimensions of a plate in order for plane-strain conditions to apply?

A: The plane strain is defined as the strain which occurs in the parallel direction of the given plane.…

Q: is a graphical representation of fatigue strength on the Y-axis and the number of stress cycles on…

A: Answer The S - N  Diagram  is a graphical representation of fatigue strength on the Y-axis and the…

Q: 1. Does plane section (square plane) on the surface of the circular shaft remain plane after loading…

A: According to terms and conditions of bartleby we can only provide 1st solution. Thank you!

Q: Why do we define engineering and true stresses for tension/compression loading but not for shear…

A: Engineering stress: It is the stress based on the initial or original cross sectional area (Ao)…

Q: Define plane stress and plane strain, making clear which, if any, of the stresses are zero in each…

A: Plane stress If a plane is undergoing load and at any point, the normal stress vector is zero (the…

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: Where does the absolute maximum shear stress in an element of material occur?

A: Let's assume, σx and σy are the normal stresses applied to the material in x and y-direction. To…

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: Question 7 At the proportional limit, a certain material has a stress of 75 MPa as the strain is…

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Q: 1. What is thermal stress? 2. What is thermal strain?

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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: Can we determine the relationship between the average normal stress and average normal strain by…

A: The relation between the average normal stress and average normal stress can be determined by…

Q: What is the difference between direct and shear stress

A: Direct Stresses are tensile or compressive stresses that operate in a plane that is normal to…

Q: How does the increase in the temperature affect the Youngs modulus, UTS and ductility of material?…

A: Youngs Modulus :  Youngs modulus is also called as Modulus of Elasticity and it is defined as the…

Q: Write the definitions for engineering stress, true stress,engineering strain, and true strain for…

A: Engineering stress is defined as the force ( applied load ) per unit original cross section of the…

Q: What is the Linear Normal-Strain Distribution?

A: Linear Normal Distribution is defined as the distribution of  normal strain linearly. Linear…

Q: How is the general state of strain at a point in a body is represented?

A: Given Data⇒ We need to determine How is the general state of strain at a point in a body is…

Q: What are the fundamental problems in Shear stress?

A: Given Data⇒ Shear stress

Q: As the area under the stress-strain curve decreases, the toughness___________

A: It is required to fill the blank