A 60° strain rosette is glued to a girder. Under certain loading conditions at an instant, the measured strain values are: Eg = (4.4R) µ ; ɛs = -(7.2R) µ; ɛ = (10R) µ Apply strain rosette transformation equations to determine the coordinate strains &s, Ey and Vy, if 0=15°
Q: Consider the figure shown below: B' A In its undeformed state the assembly is represented by…
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Q: (b) A differential element on the bracket as shown in Figure Q1 is subjected to plane strain that…
A: (b) Solution of (i) and (ii) :-
Q: Material A has a modulus of elasticity between Materials B and C, where the value of Material B is…
A: Given : Material A between B and C B is highest D is lowest Strain in A and B is same Strength B and…
Q: A rigid steel bar is supported by three rods, as shown. There is no strain in the rods before the…
A: (a) To Find : The normal strain in rod 1. Given : The length of rod 1 is L1=148 in The length of…
Q: ɛ=-100µ 120° 120° ► x ɛ=200µ ɛ=-200µ 3D
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Q: Q4 The L2 steel bolt as shown in Figure Q4 has a diameter of 5 mm, and the link AB which is made…
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Q: 2-The strain of a component, which has a tensile modulus of 5 X 105 MPa, and subjected to a stress…
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Q: The following piece is originally rectangular Determine the average normal strain that occurs along…
A: Consider the diagram of the given figure with proper dimensions as shown below, From the diagram…
Q: A differential element on the bracket as shown in Figure Q1 is subjected to plane strain that has…
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Q: The state of strain at the point on the leaf of the caster assembly has components of Ex =…
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Q: 10-6. A differential element on the bracket is subjected to plane strain that has the following…
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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: given for a point in a body subjected to plane strain. Determine the principal strains, the maximum…
A: Solution.jpg
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: The state of strain at the point on the leaf of the caster assembly has components of P x =…
A: Given Data: The normal strain acing along the x-axis is: Px= -400 X 10-6 The normal strain acing…
Q: The state of a plane strain at a point has the components Ex = 500 (10-6), ɛy = 250 (10-6) and yxy =…
A: Given:εx=500*10-6εy=250*10-6γxy=-700*01-6
Q: The state of strain in a plane element is ex = -200 × 10-6, €y = 0, and yxy = 75 x 10-6, as shown…
A: (a) Write the formula for principal strains in terms of the given strains. ε1,2=εx+εy2±εx-εy22+γxy22…
Q: If the normal strain is defined in reference to the final length Δs′, that is,P= = lim Δs′S 0 aΔs′ -…
A: Given ε'=lim∆s→0∆s'-∆s∆s'
Q: The strain components , Ey, and y,xy 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: 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: For the strain element shown below, a. determine the strain components for the (x, y) coordinate…
A: For the strain element shown below, a. determine the strain components for the (x, y) coordinate…
Q: The state of strain in a plane element is ex = -200 x 10-6 , Ey = 100 × 10-6 , and Yxy = 75 x 10-6 ,…
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Q: A rectangular titanium plate has the following dimensions. a = 20 mm, b = 15 mm, and c=5 mm.…
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Q: The strain at point A on the bracket has normal components 200x106 and 400x106 in x and y…
A: Option (c) 501.6 is correct option
Q: A solid circular bar of diameter d= 50 mm is twisted in a testing machine until the applied torque…
A: Given data: Value of bar diameter = 50 mm Value of Torque T = 500 Nm…
Q: The total volume of inherent strain longitudinal direction is Vx = Kq. H
A: we are discussing a theoretical model to determine the volume of inherent strain in longitudinal…
Q: A sheet of copper is stretched biaxially in the xy-plane. If the strains in the sheet are…
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Q: IB applied at point B of the frame seen below forcing point B to move 2.0 mm to the right. rmine the…
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Q: A differential element on the bracket as shown in Figure Q1 is subjected to plane strain that has…
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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: 3. A force P is applied to the rigid lever arm ABC as shown. The arm rotates counterclockwise about…
A: An axially loaded bar undergoes change in length, becoming longer when in tension and shorter when…
Q: The state of strain at the point on the bracket has components Px = 350(10-6), Py = -860(10-6),gxy =…
A: Given data: The x component of strain is Px = 350 x 10-6. The y component of strain is Py = -860 x…
Q: Two bars are used to support a load. When unloaded, AB is 5 in. long, AC is 8 in. long, and the ring…
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Q: A differential element on the bracket as shown in Figure Q1 is subjected to plane strain that has…
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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 Poisson ratio formula for an auxetic structure given in the figure is given as follows: H = 8…
A: H = 8 cm L = 4 cm α = 50 ° t = 5 mm To find: a) Calculate the strain on the Z axis of the…
Q: As a result of the tension applied from the base in the X axis, the strain value of the structure in…
A: Given: H= 8 cm L= 4cm α = 50° t= 5 mm νzx=- sin2αcos αHL-cosα εx = 0.26 mm/mm
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: 600 strain rosette, or delta rosette, consists of three electrical-resistance strain gagesarranged…
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Q: The strain at point A on the bracket has normal components 250x106 and 550x106 in x and y…
A: Shear strain is the ratio of the angle of deformation to the actual length of the object. ε=δL L is…
Q: The brass rod shown in Fig. 3 has a diameter of 20 mm. The collar D moves along the rod and strikes…
A: Given:d=20 mmE=100 GPai) W=1000 Nh=5 mmii) W=10 Nh=500 mm NOTE:According to ABrtleyby's policy we…
Q: 1.4 Derive an expression for the local uniform strain across the neck of a round bar being loaded in…
A: Solution :- Given data :- d =80% =0.80
Q: At the proportional limit, the axial load of a 0.70-in- diameter bar was 5400 lb. A 2.20-in. gauge…
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Q: = -100µ ɛ= 350µ 70° 30° A ɛ= 200µ
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Q: Determine the total strain (mm/mm) of a 2.64-m bar with a diameter of 21 mm subjected to a tensile…
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Q: A structural plate shown in the figure is deformed into the shape represented by the dashed line.…
A: Normal strain is the deformation occurred in the body due to the application of normal force. Shear…
Q: The strain of a component, which has a tensile modulus of 4 X 105 MPa, and subjected to a stress of…
A: Given data :- Modulus of elasticity = 4 X 105 MPa Stress = 6000 kpa = 6 mpa Find :- Strain = ?
Q: The strain components e x, e y, and γ xy are given for a point in a body subjected to plane strain.…
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Q: If the in-plane principal strains are of opposite signs, then theabsolute maximum shear strain…
A: Given Data⇒in-plane principal strains are of opposite signsProblem definition⇒Problem says If the…
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- - 7.2-26 The strains on the surface of an experiment al device made of pure aluminum (E = 70 GPa. v = 0.33) and tested in a space shuttle were measured by means of strain gages. The gages were oriented as shown in the figure. and the measured strains were = 1100 X 106, h = 1496 X 10.6, and = 39.44 X l0_. What is the stress o in the x direction?An element of material in plain strain is subjected to strains x = 0.0015, , y . = -0.0002, and xy = 0.0003. (a) Determine the strains for an element oriented at an angle = 20°. (b) Determine the principal strains of the element. Confirm the solution using Mohr’s circle for plane strain.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.On the surface of a structural component in a space vehicle, the strains arc monitored by means of three strain gages arranged as shown in the figure. During a certain maneuver, the following strains were recorded: e, = 1100 X l0_6, 6h = 200 X lO_6, and e = 200 X 10-6. Determine the principal strains and principal stresses in the material. which is a magnesium alloy for which E = 6000 ksi and v = 0.35. Show the princ ipal strains and principal stresses 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.
- Determine the strain energy per unit volume (units of psi) and the strain energy per unit weight (units of in ) that can be stored in each or the materials listed in the accompanying table, assuming that the material is stressed to the proportional limit. DATA FOR PROBLEM 2.7-5 Material Weight Density (lb/in3) Modulus of Elasticity (ksi) Proportional Limit (psi) Mild sleel 0.284 30,000 36,000 Tool steel 0.284 30,000 75,000 Aluminum 0.0984 10,500 60,000 Rubber (soft) 0.0405 0.300 300A 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.An clement of material in plane strain (see figure) is subjected to strains ex= 480 × 10-6, Ey= 70 × l0-6, and yxy= 420 × l0-6. Determine the following quantities: (a) the strains for an element oriented at an angle 0 = 75°, (b) the principal strains, and (c) the maximum shear strains. Show the results on sketches of properly oriented elements.
- A wine of length L = 4 ft and diameter d = 0.125 in. is stretched by tensile forces P = 600 lb. The wire is made of a copper alloy having a stress-strain relationship that may be described mathematically by =18,0001+30000.03(=ksi) in which is nondimensional and has units of kips per square inch (ksi). (a) Construct a stress-strain diagram for the material. (bj Determine the elongation, of the wire due to the Forces P. (c) IF the forces are removed, what is the permanent set of the bar? (d) If the forces are applied again, what is the proportional limit?A thin square plate in biaxial stress is subjected to stresses ?? and ??., as shown in part a of the figure. The width of the plate is h = 12.0 in. Measurements show that the normal strains in the x and v directions are s = 427 × 10-6 and s = 113 × l0-6, respectively. With reference to part b of the figure. which shows a Iwo-dimensional view of the plate. determine the following quantities. (a) The increase .d in the length of diagonal Oil. (b) The change . in the angle between diagonal Oti and the x axis, (c) The shear strain y associated with diagonals Oil and cf(that is. find the decrease in angle ced).-7 A steel tube (G = 11.5 x 106 psi) has an outer diameter d2= 2.0 in. and an inner diameter dt=1,5 in. When twisted by a torque 7", the tube develops a maximum normal strain of 170 x 10-6. What is the magnitude of the applied torque T?