For a thin plate with no body forces, a plane state of stress exists where o, = ay³ + bx³y o, = dy³ – e = fxy² + gx³y – h — сх T. xy - | where a, b, c, d, e, ƒ, g, and h are constants. What are the constraints on the con- stants such that the stress field satisfies both equilibrium and compatibility?

Q: The state of stress at a point in a member is shown on the rectangular stress element in (Eigure 6)…

A: So angle is clockwise and θ=-30°σx=31ksiσy=-38ksiτxy=0

Q: 2) The homogeneous state of plane stress in a metal sheet is given by & = – 20 MPa, o, = -50 MPa and…

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Q: Problem 5: The stresses on the x-y-axes are o, = 8 ksi, o, = 12 ksi, and T₁ = -5 ksi. Draw the…

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Q: 3. Given the following stress functions, = 3x² + 3y² − σ₁ = 3y² o₂ = 3x+y-z+ 6x = -Z Tay=z-6xy-² T₁₂…

A: Given data,

Q: For the state of plane stress (a) constructed Mohr's circle (b) determine the principal 40 MPa.…

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Q: In a circular shaft under torque, maximum torsional stress occurs at .shaft center True False O

A: Given statement is FALSE

Q: The state of plane strain at a point is ɛ, = 800 x 10-6, ɛ, = 200 x 10-6 and y, = -600 x 10-6, If…

A: To Find, Major principal stress = ?

Q: For the stress block shown, what is OP2 if OP1 = 140 MPa (T)? A.60 MPa (T) 40 MPa B.60 MPa (C) C.20…

A: Calculations:σx=+120mpaσy=-40Mpaσ1=140mpagivenσ1=σx+σy2+σx-σy2+ζxy2140=120-402+120+4022+ζxy2140=40+8…

Q: 3. Consider the given state of stress 40MPA y +, 10MPA → 70MPA 22.5° a) Determine the principal…

A: As per the bartleby guidelines, i am able to answer three sub-parts at a time so I was answered the…

Q: Shear stress is always maximum on the planes of maximum or minimum normal stress. (A) True (B) False

A: Given  Shear stress is always maximum or minimum on the plane of maximum or minimum normal stress.…

Q: Q2-) For the given 2D stress state [MPa); (Mega: x 10°, Pa: N/m2) a) Find the normal and shear…

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Q: If a Mohr's circle is drawn corresponding to the given stress condition then, 10 MPa 10 MPa - + 10…

A: Given data, to check the given statements

Q: The state of plane stress in a plate of 100 mm thickness is given as Oxx = 100 N/mm², Oyy = 200…

A: Given: The plate thickness, 100 mm σxx=100 Nmm2σyy=200 Nmm2Young's modulus=300  Nmm2Poisson's…

Q: q19At a point in a two dimensional stress system, the normal stress on two mutually perpendicular…

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Q: Problem 5: The stresses on the x-y-axes are o, = 8 ksi, o, = 12 ksi, and T = -5 ksi. Draw the Mohr's…

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Q: mine the maximum shear stress for the 7.. 3₁ == 0 MPa Txy=-31 Ox=37

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Q: Q: For the state of stress shown in fig. below. Determine the principle stress and the max. shearing…

A: given  fig  sigma x  sigma y shear stress  to find  max shear stress principle stress]

Q: Determine the maximum stress of the plate. • rivet hole diameter 2 cm • width of the plate= 7 cm •…

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Q: Problem 5: The stresses on the x-y-axes are o, = 8 ksi, o, = 12 ksi, and Ty = -5 ksi. Draw the…

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Q: Determine the maximum stress of the plate.

A: Given, Width of plate,b= 7 cm= 70mmRivet hole diameter,d= 2 cm = 20 mmFind the maximum stress of the…

Q: The stresses on the x-y-axes are σ, = 8 ksi, σ, = 12 ksi, and T₁y = -5 ksi. Draw the Mohr's circle…

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Q: All forces applied in the system are in the (x - y) plane. The material point B at the top of the…

A: Consider the following diagram:

Q: P1: For the given state of stress, determine (a) the orientation (0) of the planes with the maximum…

A: From the figure, σx=16 ksi, σy=-6 ksi and τxy=-20 ksi (a) The formula to calculate the orientation…