for a body undergoing Plane strain condition
b) the in-plane strain is zero.
In plane strain the deformation or strain in z-direction is prevented by putting some restriction in z-direction ( imagine a rod between two immovable walls subjected to heating and thermal strain is prevented). In this case, though there is no strain in z-direction some stress will be there.
For a body undergoing plane strain conditions, which of the following is true? The out-of-plane normal stress is zero a. b. The in-plane strain is zero c. The in-plane stress is zero d. The out-of-pl...
1. Given a plane element in a body is subjected to a normal tensile stress in the x-direction of 120 MPa, a normal stress in the y-direction of-75 MPa and shear stresses of 50 MPa, as shown. Determing a. What is the maximum principal stress? b. What is the minimum principal stress? 75 MPa What is the maximum shear stress? 50 MPa c. d. what is the angle to the principal plane, θ e. What is the angle to the...
a. Relationship between average normal stress and normal load perpendicular to a cross-sectional area b. Relationship between average shear stress and shear load in-plane with a cross-sectional area C. Average normal strain along a line on a body, given initial and final line lengths d. Hooke's Law applied to relationship between axial stress and strain e. Hooke's Law applied to relationship between torsional stress and strain f. Poisson's ratio between longitudinal and lateral strains g. Modulus of elasticity of steel...
Will rate. P13.067 The strain rosette shown was used to obtain normal strain data at a point on the free surface of a machine component. Given the values Ea = eb -165 ?? , ec- 130 ?? , E = 10,200 ksi, and v = 0.33, determine -170 ?? , (a) the stress components Ox , ? ? , and Txy at the point (b) the principal stresses and the maximum in-plane shear stress at the point; on paper, show...
Which are true 1. a rigid body undergoing planar motion is pinned at the center of mass in the plane of motion; all non-CM points on the rigid body have the same angular velocity. 2. When a rigid body undergoes planar motion the body center of mass remains in a singular plane. 3. The normal force is never perpendicular to the surfaces that applies the normal force. 4. Mass moment of inertia of a rigid body indicates the magnitude of...
Problem 7 Determine the normal stress and shear stress acting on the inclined plane AB given: Ox = 45 psi Oy = 85 psi Txy = 15 psi O is 40 degrees (Use the stress orientation shown in the figure to determine the sign on the stress values.) a) normal stress: -56 psi, shear stress: 82 psi b) normal stress: -28 psi, shear stress: 75 psi c) normal stress: 17 psi, shear stress: 67 psi d) normal stress: 18 psi,...
The strain rosette shown was used to obtain normal strain data at a point on the free surface of a machine component. Given the values εa= -185 με, εb= -150 με, εc= 55 με, E = 10,800 ksi, and v = 0.33, determine (a) the stress components σx, σy, and τxy at the point. (b) the principal stresses and the maximum in-plane shear stress at the point; on paper, show these stresses on an appropriate sketch that indicates the orientation...
Stress and strain are related by: a. Young’s Modulus b. Bulk Modulus c. Shear Modulus d. Hooke’s Law
Which term correctly represents strain in thex direction due to triaxial stress? € €,= x = [0,+(,+02] --[0x+1(0,+03] 06 - _[03-110, +03] 06-[04-16+03] Question 47 Choose the correct description of thex andy axes for strain transformation The X-Axis is normal strain, they axis is shear strain The X-Axis is shear strain, they axis is hormal strain The X-Axis is normal strain, they axis is (shear strain)/2 The X-Axis is (normal strainV/2the y axis is shear strain Question 48 Which term...
(30p) Consider a two-dimensional strain state defined by 612 = € and all normal strains zero. Write the strain and the stress tensors in this coordinate system (use Hooke's law). The shear modulus is G. Find the principal strains and the principal directions of strain. Write the stress and strain tensors in these principal directions. Are these also the principal directions of stress? You don't need to solve the eigenvalue problem for stress to answer this question. Find the effective...
Asap 1. The bracket is made of steel (Young's modulus 200 GPa; Poisson's ratio 0.3). When the force P is applied to the bracket, the gages in the strain rosette at point A have the following readings: E.-60 μ . Ep 135 μ l, and E.-264 μ (a) Determine the shear strain at point A. (b) Determine the orientation of the principal plane, the in-plane principal strains, the maximum in-plane shear strain, and the average in-plane normal strain. Determine the...