The state of strain at the point of a loaded part has components: Ex = 850(10"),...
2. The state of strain at the point of a loaded part has components: Ex = 850(10"), Ey = 480(10%), Yxy = 650(106). 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.
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.
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
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
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
Problem 3. The strain at point A on a pressure vessel wall has components Ex 480(10% and γχ,-650(106) Draw Mohr's circle and determine a) the principal strains at A in the x-y plane b) maximum shear strain (25%) Figure: 10-PO24
PROBLEM 1: The 45° strain rosette is mounted on the link of the backhoe. The following readings are obtained from each gauge 650[10). = -300(10) = 480(10"). Determine principal stresses on the link if it is made from steel with modulus of elasticity E - 200 GPa and Poisson's ratio v 0.3. (30p) A 2 Strain Rosettes Transformation equations (45°configuration) Ex = {a Ey = {c Yxy = 2ęp – (@a+ ac) Transformation equations (60°configuration) Ex = {a Ey =...
The measured strains are ε,-8001s, eb--420 μs and ε.-640 μs. The material is Al 2024-T4 aluminium alloy. (a) Determine the strains in x-y axes (Ex, Ey and Yxy) and show them in deformed element. Calculate the stresses by using material properties given in the Table. (b) Determine the stresses for the oriented element in 0 30° from the original position in the counter clockwise direction by using Mohr circle and represent the stress state. 60° 60 Young's Modulus (GPa) 73...
Problem 14.044 The strain rosette shown in the figure was used to obtain normal strain data at a point on the free surface of a machine part. The rosette measures: 900 HE; Eb -350 με; Ec-1420 με; v-0.14. (a) Determine the strain components εχ,ey, and Yxy at the point. (b) Determine the principal strains (p1> Ep2) and the maximum in-plane shear strain Yip at the point. c) Determine the angle e, counterclockwise is positive, clockwise is negative), and then draw...
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...