The state of strain at the point on the bracket has components ϵ x= -130(10-6), ϵ y= 280(10-6), and γ x y= 75(10-6).
Determine the principal stress, σ 1 in MPa at the point.
Determine the principal stress, σ 2 in MPa at the point.
Assume E = 200 GPa, and ν= 0.3.
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The state of strain at the point on the bracket has components ϵ
x= -130(10-6), ϵ y=...
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 followi...
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...
A point of the material subjected to plane strain has strains: εx = 120×10-6, εy =...
A point of the material subjected to plane strain has strains: εx = 120×10-6, εy = 70×10-6 and γxy = 80×10-6. The modulus of elasticity and poisson's ratio of the material is E = 210 GPa and ν = 0.3 respectively. Determine the normal stress along the x axis σx = Answer MPa (rounding to two decimal places).
15. The state of strain at the point on the bracket has components Ex= 200(10), Ey...
15. The state of strain at the point on the bracket has components Ex= 200(10), Ey = -300(10), Xxy = 400(106). Determine the equivalent in-plane strains on an element oriented at an angle of 30 degrees counterclockwise from the original position by using a) b) the strain transformation equations and Mohr's circle.
Example: 1.2 A wrench is made of steel (E=210 GPa, v=0.3) with elastic constants of strain...
Example: 1.2 A wrench is made of steel (E=210 GPa, v=0.3) with elastic constants of strain components for a state of plane stress at a critical point in the structure are calculated as 6, 50 x 10 = -75x10* 1 = 150 x 10"rad. a) Determine the complete strain and stress matrices in this state of stress, b) Determine the in-plane state of stress with rotating current coordinate system an angle of 45 degrees clockwise by applying either the transformation...
5. The state of strain at the point on the pin leaf has components of ε,-200x1...
5. The state of strain at the point on the pin leaf has components of ε,-200x1 0-6, ε,-180x10-6, and γ.,--300x10-6. Use the strain transformation equations and determine the equivalent strains on an element oriented at an angle of 0 60 degrees counterclockwise from the original position. Sketch the deformed element due to these strains within the x-y plane
The state of strain at point A has components of Ex=215 x 10-8 Yxy 195 x...
The state of strain at point A has components of Ex=215 x 10-8 Yxy 195 x 10-6 Ey -305 x 108 Use the strain transfomation equations to determine
The measured strain values at point Q are as follows: Ea = 40(10), Eb = 980(10),...
The measured strain values at point Q are as follows: Ea = 40(10), Eb = 980(10), &c = 330(10) 1) Calculate the strain components Ex, Ey and Yxy at point Q. 2) Calculate the stress components Ox, Oy and Txy at point Q. 3) Determine the principal stresses at point Q, using Mohr's circle. The Young's modulus E = 200 GPa, shear modulus G = 76.9 GPa, Poisson's ratio v= 0.29. 《 s,
The state of strain at the point of a loaded part has components: Ex = 850(10"),...
The state of strain at the point of a loaded part has components: Ex = 850(10"), £y = 480(10%), Yxy = 650(10-6). Use the strain-transformation equations to determine the equivalent strains on an element oriented at an angle of 0 = 60° counterclockwise from the original position.
Question 1 The 3-dimensional state of strain at a material point in x, y, z coordinates is given ...
Question 1 The 3-dimensional state of strain at a material point in x, y, z coordinates is given by: Calculate the volumetric strain and the deviatoric strain invariants a. b. Calculate the mean stress and the deviatoric stress tensor. Calculate the characteristic equation of strain. Calculate the characteristic equation of stress. c. d. The material is linear elastic (E-210GPa, v-0.3) (18 marks)
Question 1 The 3-dimensional state of strain at a material point in x, y, z coordinates is given...
18- The slare of strain at the paint an the eaur ooth components of ͒(10°), ε,-480(10-6),...
18- The slare of strain at the paint an the eaur ooth components of ͒(10°), ε,-480(10-6), γ,-650(106). Use the strain-transfomation equations to determine (a) the in-plane principal strains and (b) the maximum in-plane shear strain and average normal strain. In each case specify the orientation of the elements and show how the strains deform the element within the x-y plane. Resp. &nax-1039(10-6), &nm-291 (109, θ-30.18", Ymax 748 (10,8148
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...
15. The state of strain at the point on the bracket has components Ex= 200(10), Ey = -300(10), Xxy = 400(106). Determine the equivalent in-plane strains on an element oriented at an angle of 30 degrees counterclockwise from the original position by using a) b) the strain transformation equations and Mohr's circle.
Example: 1.2 A wrench is made of steel (E=210 GPa, v=0.3) with elastic constants of strain components for a state of plane stress at a critical point in the structure are calculated as 6, 50 x 10 = -75x10* 1 = 150 x 10"rad. a) Determine the complete strain and stress matrices in this state of stress, b) Determine the in-plane state of stress with rotating current coordinate system an angle of 45 degrees clockwise by applying either the transformation...
5. The state of strain at the point on the pin leaf has components of ε,-200x1 0-6, ε,-180x10-6, and γ.,--300x10-6. Use the strain transformation equations and determine the equivalent strains on an element oriented at an angle of 0 60 degrees counterclockwise from the original position. Sketch the deformed element due to these strains within the x-y plane
The state of strain at point A has components of Ex=215 x 10-8 Yxy 195 x 10-6 Ey -305 x 108 Use the strain transfomation equations to determine
The measured strain values at point Q are as follows: Ea = 40(10), Eb = 980(10), &c = 330(10) 1) Calculate the strain components Ex, Ey and Yxy at point Q. 2) Calculate the stress components Ox, Oy and Txy at point Q. 3) Determine the principal stresses at point Q, using Mohr's circle. The Young's modulus E = 200 GPa, shear modulus G = 76.9 GPa, Poisson's ratio v= 0.29. 《 s,
The state of strain at the point of a loaded part has components: Ex = 850(10"), £y = 480(10%), Yxy = 650(10-6). Use the strain-transformation equations to determine the equivalent strains on an element oriented at an angle of 0 = 60° counterclockwise from the original position.
Question 1 The 3-dimensional state of strain at a material point in x, y, z coordinates is given by: Calculate the volumetric strain and the deviatoric strain invariants a. b. Calculate the mean stress and the deviatoric stress tensor. Calculate the characteristic equation of strain. Calculate the characteristic equation of stress. c. d. The material is linear elastic (E-210GPa, v-0.3) (18 marks)
Question 1 The 3-dimensional state of strain at a material point in x, y, z coordinates is given...
18- The slare of strain at the paint an the eaur ooth components of ͒(10°), ε,-480(10-6), γ,-650(106). Use the strain-transfomation equations to determine (a) the in-plane principal strains and (b) the maximum in-plane shear strain and average normal strain. In each case specify the orientation of the elements and show how the strains deform the element within the x-y plane. Resp. &nax-1039(10-6), &nm-291 (109, θ-30.18", Ymax 748 (10,8148
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