The below-given figure is an example of strain energy. Select one: O True O False
Q: In uniaxial loading the poisson's ratio is 0.30 and the strain in the x- direction is 250 x 1O^-6 .…
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Q: The strain rosette shown in figure was used to obtain strain data at a point on the surface of a…
A: It is required to determine shear strain
Q: Consider the figure shown below: B' A In its undeformed state the assembly is represented by…
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Q: Write the equation of Mohr’s circle for strain?
A: Mohr's circle is not essentially a newly derived formula, but just a new way to envision the…
Q: ɛ=-100µ 120° 120° ► x ɛ=200µ ɛ=-200µ 3D
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Q: A steel alloy specimen having a rectangular cross section of dimensions 18.6 mm × 3.4 mm (0.7323 in.…
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Q: A 60º strain rosette, or delta rosette, is composed of three electrical resistance strain gauges…
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Q: The 45° strain rosette shown in figure below is mounted on the surface of a thin shell. The…
A: Solution.
Q: Find the longitudinal strain Change in length=0.45 mm Initial length=1000 mm
A: Given data : Initial length=L Change in length=∆L To find : Strain
Q: ongitudinal strain for a wire is 0.03 and isson's ratio is 0.5, then its lateral strain 0.003 75ח ת…
A: Option (3) is correct. Lateral strain = 0.015
Q: The state of plain strain at a point in a body is given by €x = 800 x 10-6, €y = 200 x 1076, and yy…
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Q: Can the Mohr’s circle be used to determine the principal strains, the maximum strains, the maximum…
A: Mohr's circle is a graphical method to find the principal stresses and strains of the material.
Q: A differential element on the bracket as shown in Figure Q1 is subjected to plane strain that has…
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Q: a) What are the principal stresses? Sketch the principal stress element and mark its values. b)…
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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: When the shear stress is applied to homogeneous isotropic material,it will only produce shear strain…
A: Consider the diagram shown below for the shear stress on an element.
Q: Calculate the longitudinal strain, if internal pressure is 1.2 N/mm2 and 1 m in diameter along with…
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Q: 3 From the properties of characteristic equation of strain 3 Σε
A: Answer: False
Q: Consider a shaft of diameter 50mm and length 5m, attached with a strain gauge at an angle of 0 = 49…
A: The equation of the torsional moment is given by, Here, T represents the torque, Ip represents the…
Q: The figure below shows the stress-strain diagrams of four different materials A, B, C, and D. Which…
A: The stress-strain diagrams of four different materials are given.
Q: m principal strain theory; 4. Maximum strain energy theory; and 5. Ma
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Q: A set of strain rosette with three strain gauges at 120° apart is attached onto a steel structure…
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Q: Refer to the graph below, a. Which material is stronger Why? 400 350 300 250 200 Aluminlum 150 100…
A: Stress vs strain graph is given for the steel and aluminium. In steel the proportionality limit is…
Q: Refer to the graph below, a. Which material is ductile? Why? 400 350 300 Steel 250 200 Aluminium 150…
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Q: Figure Q2 (b) shows a strain rosette that is attached on the surface of a production equipment. The…
A: For solution refer below images.
Q: The stress- strain curve for four materials are shown in figure below. Which material (A/B/C/D) has…
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Q: D 2 mm 5 mm 15 mm A В 15 mm
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Q: 3. Refer to the graph below, a. Which material is stronger? Why? 400 350 300 Steel 250 200 Aluminium…
A: a) The material which has greater yield strength or which require more stress to cause the plastic…
Q: If a rubber material is deformed as shown in the following figure, determine the normal strain along…
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Q: If a rubber material is deformed as shown in the following figure. determine the normal strain along…
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Q: The force P causes the rigid arm ABC to rotate clockwise about pin A through an angle of 0.011∘.…
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Q: Figure shows a strain rosette that is attached on the surface of a production equipment. The strain…
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Q: A steel alloy specimen having a rectangular cross section of dimensions 18.1 mm × 3.3 mm (0.7126 in.…
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Q: Prove that : 2 strain Energy= %3D 2GJ -x Volume 4G
A: Strain energy due to axial load PU=12P×δLSimilarlyStrain energy due to torsion TU=12×T×θ ......1Now…
Q: Find the Lateral strain Strain=0.005 Longitudinal strain=0.025
A: Given data : Strain=ε Longitudinal strain=εL Required : Lateral strain
Q: A 45° strain rosette (see figure 4) mounted on the surface of a car chassis gives the following…
A: To find: The principal strains and maximum shear strains and show them on appropriately oriented…
Q: Exercise 2 : For the constant strain triangular shown in figure 2. Determine the strain-displacement…
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Q: When an axial load is applied to the ends of the two- segment rod shown in Figure P2.1, the total…
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Q: 9. During a static test of an airplane wing, the strain-gauge readings from a 45° rosette (see…
A: Given data : Gauge A reading () = 530*10-6 Gauge B reading () = 420*10-6 Gauge C reading () =…
Q: The state of plane strain at a point is represented by the following components: 6, = 5o010-).s, =…
A: It is drawn below:
Q: The strains on the surface of an experimentaldevice made of pure aluminum (E = 70 GPa,n = 0.33) and…
A: Given Pure aluminum: E = 70 GPa Poisson ratio = 0.33 Find Stress in the x direction
Q: the longitudinal strain is 0.003 and the poisson's ratio is 0.3, calculate the transverse strain.
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Q: h.w: A compressive force was applied in the longitudinal direction of a cross-sectional bar ( A= 10…
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Q: 5 -1 -1 If ɛ ij= -1 4 0 then principle strain values is -1 0 4 Ɛ; = 5,2,6 .1O E=3,2,6 .1I O Ej…
A: εij = εxxγxy2γxz2γyx2εyyγyz2γzx2γzy2εzz = 5-1-1-140-104
Q: After explaining the difference between the true stress/strain and the nominal stress/strain, show…
A: Engineering stress is equal to the load acting on the material divided by the original…
Q: = -100µ ɛ= 350µ 70° 30° A ɛ= 200µ
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Q: (b) A 45° strain gauge rosette is attached to the surface of a steel plate and under a particular…
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Q: The tensile stress of an object is 250 MPa & the strain is 0.0021 then the value of Youngs's Modulus…
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Q: What will be the reduction factor for a strain equal to 0.0038? O 0.65 O 0.78 O 0.80 O 0.90
A: The strain of the object is given as, εl=0.0038
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- 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?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 300During 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 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.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.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.
- 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.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 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).
- A bar with a circular cross section having two different diameters d and 2d is shown in the figure. The length of each segment of the bar is L/2T and the modulus of elasticity of the material is E. (a) Obtain a formula for the strain energy U of the bar due to the load P. (b) Calculate the strain energy if the load P = 27 kN, the length L = 600 mm, the diameter d = 40 mm, and the material is brass with E = 105 GPa.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.The Poisson ratio formula for an auxetic structure given in the figure is given as follows: H = 8 cm L = 4 cm α = 50 ° t = 5 mm The strain value of the structure in the same direction as a result of the pull applied in the X axis from the bottom was measured as 0.26 mm / mm. Under the same loading condition: a) Calculate the strain on the Z axis of the structure. b) In this case, what is the strain type of the structure in the Z axis?