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: 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: 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: 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…

A:

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

A:

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

A:

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

A:

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…