Do the Plane strain and plane stress each have three components lying in thesame plane?

Q: Oy Txy

A: given; normal stress in x direction =σxnormal stress in y direction =σyshear stress in xy…

Q: For the stress state shown. Ox = 40 MPa MPa Oy = 80 MPa Txy %3D 65 Oy Txy Using Mohr's Circle, a)…

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Q: At a point in a thin steel plate in plane stress (0z = Tx2 = Tyz = 0), Ex =800µ, Ey= - 400µ, and Yky…

A: The stresses in the element along the x and y direction in the above question can be obtain by the…

Q: 4. Show that Cp = as +45°. principal strain and shear strain

A: from strain formula's  we need to prove

Q: For the plane stress state listed below, draw a Mohr's circle diagram properly labeled. Keep in mind…

A: Given Data σx=20 kpsiσy=-10 kpsiτxy=-8 kpsi  Draw the diagram

Q: Midrange and alternating stresses becomes equal only for Reversed stress O Repeated stress None of…

A: Option B Repeated Stress

Q: The state of stress at a point in a member is shown on the element. Suppose that σx = -50 MPa , σy =…

A: σX=-50MPaσy=-120MPaζxy=-30MPa All stresses are compressive   Formula for shear stresses:-…

Q: 11 The state of stress at a point is given by : 0, = 20, - 40 and tyz normal, shear and resultant…

A: We are given the state of stress at a point in the question, and we must calculate the normal,…

Q: If the principal stresses in a plane stress problem are ơ1 = 100 MPa, ơ2 = 40 MPa, the magnitude of…

A: Write the given values along with suitable variables.

Q: Stress Transformation & Mohrs Circle Consider a stress point in a structural member that is…

A: Given data: σx=60 MPaσy=90 MPaτxy=30 MPa Need to determine the principal stresses and maximum shear…

Q: a) Prime planes, b) Prime stresses, c) Maximum shear stress and this in the plane of the stress

A: Given data: Normal streses along x and y axis σx=12000lb/in2 σy=18000lb/in2 Shear stress…

Q: Determine the minor principal stress and position of the principal plane when a block is subjected…

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Q: 2: haft shown below, determine the normal and A, including stress concentrations. Then dr and…

A: Given: r=0.0042 m d=0.03 m D=0.033 m P=1500 N M=300 Nm T=250 Nm

Q: 10 ksi, o, = -4 ksi, and 29 x 103 ksi and poissons ratio is 0.3, determine the normal strain along…

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Q: How can we express the work in terms of a body’s strain energy?

A: When there is external loading over the member, and it deforms under that load, the energy utilized…

Q: By Mechanics of meteriels -CoN cept of strain Prove 4hat G 2(1+v) - modulus of frigidity E = modulus…

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Q: What happens if the in-plane principal strains are of opposite signs? then theabsolute maximum shear…

A: Given: The maximum principal strain is ϵ1=ϵXY/2. The minimum principal strain is ϵ2=-ϵXY/2.

Q: Ox+0y , Ox-Oy Plane-stress transformation: 0r, =· 2 -cos20 + Txysin20 Txryı 2 sin20 + TxyC0s20 2…

A: Given:σx=0σy=-25 Ksiζxy=12…

Q: The Cartesian components of stress at a point are 0x = 15 Oy = 0₂ = 8, - Txy = 6, Tyz = 4, Txz = 4…

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Q: 2.4. The stress at a point is defined by the components Og =0 MPa, Oyy =100 MPa, Oxy = Oyx = -40…

A: Given Data⇒σxx=0 MPaσyy=100 Mpaσxy=σyx=-40 MPaProblem definition⇒Problem says find principle…

Q: rect stresses of 160N/mm tensile and 120 N/mm compressive exist on two perpendicular planes at a…

A: Given, direct tensile stress, σt=160N/mm2 Compressive stress, σc=120N/mm2 The greatest principal…

Q: A pipe is subjected to a tension force of P = 45 kN. The pipe outside diameter is 41 mm, the wall…

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Q: A light wire 1.75 m long has a cross-sectional area of 2.3 mm². It is hung vertically and stretches…

A: hookes law states that stress is directly proportional to Strain. Youngs modulus = Stress/Strain…

Q: M13.6 Principal stresses from rosette data scenes -200 µE 93 200 με b Ec = 500 µE 30° 30° Ex (με) a…

A: Given, εa = -200 x 10-6 εb = 200 x 10-6 εc = 500 x 10-6 E = 200 GPa ν = 0.32

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

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Q: Please fast and correct

A: In a strength of material. we must relate the stress in the rigid body not with per unit length of a…

Q: The state of stress in a material stressed to two-dimensional state of stress is as Determine…

A: Given data: The stress in x-direction is σx=80 N/mm2=80 MPa The stress in y-direction is σy=-60…

Q: In thin spherical shell, the ratio of radial to circumferential stress is 1 (a) (b) 1 (с) 2 (d) 4

A: Given: Ratio of radial to circumferential stress in thin spherical shell.

Q: The state of stress at a point under plane stress condi- tion is o = 20 MPа, о, = 50 MPa and t = 20…

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Q: A thin plate is subjected to certain boundary conditions on its thin edges leading to the stress…

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Q: A) The normal strain in the 20° direction on the surface of a 98mm diameter solid circular shaft is…

A: Given: The shaft is applied by the pure torsion. Normal strain at 20 degree is 400x10-6. G = 27 GPa

Q: Oy Ot Txy a Tnt Ox On (b) (a) On the surface of a structural member, stresses are given as ox=67,9…

A: Given data: The stress in x-direction is σx=67.9 MPa The stress in y-direction is σy=25.5 MPa The…

Q: A rod is subjected to an uni-axial load within linear elas limit.When the change in the stress…

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Q: At a point in a material under stress there is a compressive stress of 200MN/m2  and a shear stress…

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Q: The known stress components at a point in a body, relative to the (x, y, z) axes, are ox = 20MPA, Oy…

A: Given:-σx=20MPaσy=10Mpaτxy=30MPaτxz=-10MPaτyz=80MPaI2=-7800MPaTo find:-Stress component σz and…

Q: Drive the relation of stress transformation.

A: Solution:   The figure above shows the stress acting on x-y coordinate system and x1-y1 coordinate…

Q: 1. What is the difference between direct and shear stress? d for tho poimon?

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Q: Define the terms load , stresss and strain. Discuss the various types of stresses and strain p 4:19…

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Q: re is atmospheric. Given that the shrinkage is 0.02 cm. Determine the adial and tangential stress…

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Q: The average normal strain and half the maximum in-planeshear strain is determined from the circle as…

A: In the Mohr's circle for the component under strains, the magnitude of the average normal strain is…

Q: At a point in a piece of elastic material, direct stresses of 92 MN/m2 tensile and -49 MN/m2…

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Q: A steel rod has a length of 15 cm and 2 mm in diameter. The steel rod is subjected to __F 687N…

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Q: direction in which the normal stress is zero, direction in which the normal stress is zero, ulate…

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Q: If the in-plane principal strains are of opposite signs, then theabsolute maximum shear strain…

A: Given Data⇒in-plane principal strains are of opposite signsProblem definition⇒Problem says  If the…

Q: -_ is the ratio of normal stress to normal strain. O a. Modulus of elasticity O b. Poisson's ratio O…

A: Answer: Option (a) Modulus of elasticity or Young's modulus is the ratio of normal stress to normal…