The state of a plane strain at a point has the components Ex = 500 (10-6), ɛy = 250 (10-6) and yxy = -700 (10-6). Determine the principal strains and the maximum in plane shear strain.
Q: The state of strain at a point on a wrench has components ϵx = 120(10-6), ϵy = -180(10-6), γxy=…
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Q: 10-3. The state of strain at a point on a wrench has components €, = 120(10“), Yay = 150(i0*). Use…
A: 10-3 Given, εx=120×10-6εy=-180×10-6γxy=150×10-6 For our ease of calculation, we neglect the 10-6 in…
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A: Given:P=8 KNL=400 mmν=0.35E=70 GPa
Q: The state of strain at the point on the spanner wrench has components of Px = 260(10-6), P y =…
A: Given data: Normal strain in x direction, εx = 260 x 10-6 Normal strain in y direction, εy = 320 x…
Q: The state of strain on an element has components Px = -300(10-6), Py = 100(10-6), gxy = 150(10-6).…
A: Given Data: The x component of the normal strain is: εx=-300 X 10-6. The x component of the normal…
Q: The state of a plane strain at a point has the components Ex 400 (10-6), ɛy = 200 (10 ) and yxy =…
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Q: The strain at point A on a beam has components Px = 450(10-6), Py = 825(10-6), gxy = 275(10-6), Pz =…
A: Given data
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Q: Q4) The 60° strain rosette is mounted on a beam. The following readings are obtained from each…
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Q: The state of strain at the point on the pin leaf has components of ϵx=200(10−6)ϵx=200(10−6) ,…
A: Consider an element subjected to linear strains εx and εy in x and y-directions respectively and…
Q: The strain at point A on the pressure-vessel wall has components Px = 480(10-6), Py = 720(10-6), gxy…
A: Given: The normal strain in the vertical plane is PX=480×10-6. The normal strain in the horizontal…
Q: What happens if the in-plane principal strains are of opposite signs? then theabsolute maximum shear…
A: Given: The maximum principal strain is ϵ1=ϵXY/2. The minimum principal strain is ϵ2=-ϵXY/2.
Q: Q.3) A structural member in plane strain has the following strains at a point: Ex = 360 µ, 8-230 μ ,…
A: Given:εx=360 μ εy=230 μγxy=150 μa)strain at…
Q: The state of strain in a plane element is Ex = -300 x 10-6 , Ey= 450 x 10-6, and Yxy = 275 x 10-6.…
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Q: The strain components ɛ, Ey, and y,y are given for a point in a body subjected to plane strain.…
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Q: Determine the Poisson's ratio if the lateral strain is -0.1 and longitudinal strain is 0.4 Select…
A: Given data : Longitudinal strain is denoted by εL Lateral strain is denoted by εLt To find :…
Q: The strain at a point is 780x10-s in the x, 400x10-6 in the y and -500x106 in the z direction.…
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Q: 1. The state of plain strain at a point in a body is given by = 800 x 10-6, y = 200 x 10-6, and yxy…
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Q: The strain components ɛx, Ey, and yy are given for a point in a body subjected to plane strain.…
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Q: The strain at point A on the bracket has normal components 300x106 and 440x106 in x and y…
A: GIven data: The strain along x-axis is εx=300×10-6 The strain along y-axis is εy=440×10-6 The shear…
Q: The rectangular components of a small strain at a point is given by the following matrix. Determine…
A: Write the strain matrix. ε=εxxεxyεxzεyxεyyεyzεzxεzyεzz
Q: Determine the Poisson's ratio if the lateral strain is -0.1 and longitudinal strain is 0.4 Select…
A: As per given question we have determine poisson's ratio
Q: If the two principal strains at a point are 1000 x 10 6 and-600 x 106, then the maximum shear strain…
A: Given:ε1=1000×10-6ε2=-600×10-6
Q: ain that has the following components: ex = 150µ, ey = 200µ, yxy = -700µ. using the strain…
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Q: The state of strain on an element has components = -280(10-6), ɛ, = 120(10-6), Yæy = 180(10-6).…
A: Given data, εx=280(10-6) εy=120(10-6) γxy=180(10-6)
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Q: The 45° strain rosette is mounted on the surface of a shell. The following readings are obtained for…
A: Given that,εa=-200×10-6εb=300×10-6εc=250×10-6Here,εx=εc=250×10-6εy=εa=-200×10-6
Q: The strain at point A on the bracket has normal components 400x10-6 and 550x10-6 in x and y…
A: Given Data: strain at point A=∈x=400×10-6∈y=550×10-6 Vxy=-650×10-6
Q: b) Define volumetric strain. Prove that the volumetric strain fora rectangular bar subjected to an…
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Q: The strain at point A on the bracket has normal components 300x10-6 and 550x10-6 in x and y…
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Q: Show that the following strain components are the solutions of a problem in elasticity. E, = 2xy, E,…
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Q: H.W.2: The load P produces an axial strain of -1,800 ue in post (2). Determine the axial strain in…
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Q: The state of strain at a point on the bracket has components of Px = 150(10-6), Py = 200(10-6), gxy…
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Q: The wire AB is unstretched when 8 = 45°, If a force is applied downward to end A of the bar AC,…
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Q: The strain components ɛx, Ɛy, and yxyare given for a point in a body subjected to plane strain.…
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Q: PROBLEM 1. The state of strain at a point on an experimental aircraft wing has components, E. = 300…
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Q: The strain at point A on the bracket has normal components 550x106 and 550x106 in x and y…
A: Option d is correct.
Q: The state of strain at a point on a wrench has components E = 120(10-6), Ey = -180(10-6), Yzy=…
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Q: The 60o strain rosette is mounted on a beam. The following readings are obtained for each gage: ϵa =…
A: Write the given data:
Q: 10–11. The state of strain on an element has components €x = -150(10-6), €, = 450(10-"), Yxy =…
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Q: The material distorts into the dashed position shown, where d = 11 mm (Figure 1) Determine the…
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Q: The average normal strain and half the maximum in-planeshear strain is determined from the circle as…
A: In the Mohr's circle for the component under strains, the magnitude of the average normal strain is…
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A: data providedthe length of rod AB LAB = 5 in the length of rod Ac ,LAC = 8 in The normal…
Q: Determine the Poisson's ratio if the lateral strain is -0.1 and longitudinal strain is 0.4 Select…
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Q: The 45° strain rosette is mounted on a steel shaft. The following readings are obtained from each…
A: Given data: Strain rosette of 45° angle is attached to the steel shaft εa…
Q: Question 1: The state of strain at the point on the pin leaf has components of Ex = 200(106), E =…
A: Write the given data. εx=200×10-6εy=180×10-6γxy=-300×10-6 Calculate the principle strains.…
Q: The state of strain at the point on the pin leaf has components of € = 200(10-6), y = 180(10-6), and…
A: Introduction: When an elastic body is subjected to external forces, material locations inside the…
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- A strain rosette (see figure) mounted on the surface of an automobile frame gives the following readings: gage A,310 × 10-6:gage B,180 × l0-6; and gage C. -160 × 10-6. Determine the principal strains and maximum shear strains, and show them on sketches of properly oriented elements.During a test of an airplane wing, the strain gage readings from a 45° rosette (see figure) are as follows: gage A, 520 × l0-6; gage B. 360 × l0-6; and gage C,-80 × 10-6. Determine the principal strains and maximum shear strains, and show them on sketches of properly oriented elements.A solid spherical ball of magnesium alloy (E = 6.5 × l0-6 psi, v = 0.35) is lowered into the ocean to a depth of 8000 ft. The diameter of the ball is 9.0 in. (a) Determine the decrease ?d in diameter, the decrease, ?V in volume, and the strain energy U of the ball. (b) At what depth will the volume change be equal to 0.0324% of the original volume?
- An element of material in plain strain is subjected to shear strain xy = 0.0003. (a) Determine the strains for an element oriented at an angle = 30°. (b) Determine the principal strains of the clement. Confirm the solution using Mohr’s circle for plane strain.An element of material in plain strain has the following strains: x = 0.001 and y = 0.0015. (a) Determine the strains for an element oriented at an angle = 250. (b) Find the principal strains of the element. Confirm the solution using Mohr’s circle for plane strain.The strains for an element of material in plane strain (see figure) are as follows: x = 480 ×10-6. y = 140 × l0-6, and xy = —350 x 10”. Determine the principals strains and maximum shear strains, and show these strains on sketches of properly oriented elements.
- The state of a plane strain at a point has the components &x 500 (10-5), ɛy = 250 (10-6) and Yxy = 200 (10-6). Determine the principal strains and the maximum in plane shear strain. Select one: E1 = 535 (10 ), e2 = -215 (10-) and ymax in-plane = -320 (10 ). %3D = 535 (10-), E = 215 (10) and ymax in-plane = 160 (10). E = 535 (10), ɛ2 = -215 (10°) and ymax in-plane = 320 (10). E = 535 (10-), 82 = 215 (10) and ymax in-plane = 320 (10). E1 = -535 (10) E2 = -215 (10) and ymax in-pare = -320 (10°).The state of a plane strain at a point has the components Ex = 400 (10 ), Ey = 200 (10 ) and yxy = 400 (10-6). Determine the principal strains and the maximum in plane shear strain. Select one: & =524 (10-6), ɛ2 = -76.4 (106) and ymax in-plane = 223 (10 ). E =524 (10-6), E2 = -76.4 (10-) and ymax in-plane = 447 (10-). E =524 (10 E2 = 76.4 (10-) and ymax in-plane = 223 (10-). %3D E1 = 524 (10-), E2 = 76.4 (10-) and ymax in-plane = 447 (10-). E=-76.4 (10), E2 = -524 (10-6) and ymax in-p ane = 447 (10-6).The 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.
- I 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 étvQ1 The 45° strain rosette is mounted on a surface of the bracket as shown in Figure Q1. The bracket is made from steel with Esteel = 120 GPa and poison ratio, v = 0.28. The following readings are obtained for each gauge under loadings: Ea= [ 100+20 ] (10-6) Es = -200(10-6) E = -180(10-6) (а) Prove that E= Eaand &y= Ec. (b) Determine the shear strain, y and the normal strain, Ez and Ey. (c) Estimate the in-plane principal strains and the angle associated with the principal strains, andThe state of a plane strain at a point has the components &, = -100 (10-5), &, = -50 (105) and yw = 200 (105). Determine the principal strains and the maximum in plane shear strain. %3D Select one: & = 28 (10°), E2 = 178 (10°) and ymax in-plane = -206 (10"). 228 (106), ɛ2 = 178 (10°) and Ymax in-plane 206 (106). O & = 28 (105), E2 = -178 (10°) and ymax in-plane 206 (106). %3D %3D O & = -28 (10°), ɛ2 = -178 (10°) and ymax in-plane = 206 (10 & = 28 (10), E2 = 178 (10°) and ymax in-plane = 206 (10°). %3D %3D TOSHIBA