The state of strain at a point on the bracket has component:
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Statics and Mechanics of Materials (5th Edition)
- The state of strain at a point on the bracket has components of Px = 150(10-6), Py = 200(10-6), gxy = -700(10-6). Use the strain transformation equations and determine the equivalent in-plane strains on an element oriented at an angle of u = 60° counterclockwise from the original position. Sketch the deformed element within the x–y plane due to these strains.arrow_forwardThe state of strain at the point on the leaf of the caster assembly has components of Ex = -400(10-6), y = 860(10-6), and Yxy = 375(10-6). Use the strain transformation equations to determine the equivalent in-plane strains on an element oriented at an angle of 0 = 30° counterclockwise from the original position. Sketch the deformed element due to these strains within the x-y plane.arrow_forwardThe state of plane strain on an element is represented by the following components: Ex =D340 x 10-6, ɛ, = , yxy Ey =D110 x 10-6, 3D180 x10-6 ху Draw Mohr's circle to represent this state of strain. Use Mohrs circle to obtain the principal strains and principal plane.arrow_forward
- The state of strain at the point on the leaf of the caster assembly has components of P x = -400(10-6), Py = 860(10-6), and gxy = 375(10-6). Use the strain transformation equations to determine the equivalent in-plane strains on an element oriented at an angle of u = 30 counterclockwise from the original position. Sketch the deformed element due to these strains within the x–y plane.arrow_forwardThe state of strain in a plane element is Ex = -300 x 10-6 , Ey= 450 x 10-6, and Yxy = 275 x 10-6. (a) Use the strain transformation equations to determine the equivalent strain components on an element oriented at an angle of 0 = 30° counterclockwise from the original position. (b) Sketch the deformed element due to these strains within the x-y plane.arrow_forwardThe state of strain at the point on the spanner wrench has components of Px = 260(10-6), P y = 320(10-6), and gxy = 180(10-6). Use the strain transformation 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 element and show how the strains deform the element within the x–y plane.arrow_forward
- The state of strain at the point on the gear tooth has components €x = 850(106), €y = 480(106), Yxy = 650(106). Use the strain-transformation 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 element and show how the strains deform the element within the x-y plane.arrow_forwardFor the given plane strain state, use Mohr's circle to determine the strain state associated with the x' and y' axes rotated to θ indicated in the table: \epsilon_x \epsilon_y \gamma_{xy} θ -500\mu 250\mu 120\mu -15°arrow_forwardQ4 A three strain gages have been attached directly to a piston used to raise a medical chair, the strain gages give strains as Ea = 80 µ , Eb = 60 µ and Ec = 20 u . Determine the principal strains and the principal strain directions for the given set of strains. And Compute the strain in a direction -30° (clockwise) with the x axis. 45 Pumparrow_forward
- The state of strain at the point on the pin leaf has components of ϵx=200(10−6)ϵx=200(10−6) , ϵy=180(10−6)ϵy=180(10−6) , and γxy=−300(10−6)γxy=−300(10−6) . (Figure 1) -Use the strain transformation equations and determine the normal strain in the xx direction on an element oriented at an angle of θ=−55∘θ=−55∘ clockwise from the original position. -Determine the shear strain along the xy plain Determine the normal strain in the y direction.arrow_forwardThe state of strain in a plane element is ex =-200 x 10-6, Ey = 0, and yxy = 75 × 10-6 , as shown below. Determine the equivalent state of strain which represents (a) the principal strains (b) the maximum in-plane shear strain and the associated average normal strain. Specify the orientation of the corresponding elements for these states of strain with respect to the original element. y Yxy 2 dy Yxy FExdx dxarrow_forwardI Review The state of strain at the point has components of e, = 230 (10 6), e, = -240 (10 ), and Yay = 500 (10 6). Part A Use the strain-transformation equations to determine the equivalent in-plane strains on an element oriented at an angle of 30 ° counterclockwise from the original position. (Figure 1) Enter your answers numerically separated by commas. AEo 1 vec E, Ey', Yr'y = Figure étvarrow_forward
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