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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- You need the shear modulus for a particular material in order to calculate shear strain for a known applied shear shear stress. You can't find shear modulus for the material, but you can find elastic modulus (200 GPa) and Poisson's ratio (0.3). Which of the following could you use as the shear modulus for your calculations? 200 GPa O 60 GPa O 77 GPa O 154 GPaQ1 The 45° strain rosette is mounted on a steel robotic am as shown in Figure Ql. The robotic arm is made from steel with Esel = 200 GRA and poison ratio, v= 0.3. The following readings are obtained for each gauge: E=[Y+Z](10“) E = -250(10-) E= -200(10) Here the value of Y and Z depends on the 5th digit and 6th digit of your matric number as shown in Table 1. For example, if your matrix number is DD 070112 gives the value of Y=300 and Z-60: Table 1 5 digit of matric 6* digit of matric number number 250 300 350 30 2 60 3 400 3 90 4 450 120 5 500 150 6. 550 180 7 600 7 210 650 700 240 270 (a) Prove that &= E, and E, = E. Determine the shear strain, yand the normal strain, E, and &. (b) Estimate the in-plane principal strains and the angle associated with the principal strains, and (c) Calculate the principal stress associated with the prihcipal strains in (c). (d)Exercise 2 : For the constant strain triangular shown in figure 2. Determine the strain-displacement matrix [B]. Take t=20 mm, E=2x10° N/mm2 K(200,400) I(100,100) J(400,100) Fig.2
- material with a rectangular cross-section of 4 mm by 25 mm is loaded in tension with a force of 32 kN. A strain gauge bonded to the material measures a strain of 400 microstrain when the sample is loaded. culate Young's modulus of the material, measured to the nearest GPa (GN/m2) and enter your answer in the box below. ung's modulus: [ GPaForce F- (4i - 2j + 7k) kips acts at point C. A(0,7,7)ft C(7.0,0)t fB(8,8,0)n Resolve force F into components parallel and perpendicular to the following lines. (Enter your answers in vector form in kips.) (a) a line that passes through points A and B kips F -( kips (b) a line that passes through points A and C F, - (L kips kips (c) a line that passes through points B and C F, -(| kips kipsConsider the following strain state: [0.0016 0.0003 [0] = 0.0003 0.0008 0 0 0 0 0.0004] a. Determine the strain matrix for this strain state if the axes are rotated 30° counterclockwise around z-axis. b. Plot Mohr's circle for this strain state.
- Given the figure below. Find the momemt of F about O. 4 ft F = {100i – 120j + 75k} Ib 3 ft 5 ft.A 45° degree strain gauge rosette positioned on the surface of a structure under stress recorded the following values of normal strain: Gauge A: Gauge B: (oriented at 45° anti-clockwise to gauge A) Gauge C: -275×10 (oriented at 90° anti-clockwise to gauge A) What is the value of normal strain and shear strain on a plane inclined at 29° clockwise from gauge B? -6 - 195 × 10 (oriented in the postive x direction) 145 x 10-6 a) The normal strain and shear strain on a plane inclined at 29° clockwise from gauge B are 0.3 microstrain and 602.1 microstrain, respectively. b) The normal strain and shear strain on a plane inclined at 29° clockwise from gauge B are 0.3 microstrain and 301.1 microstrain, respectively. c) The normal strain and shear strain on a plane inclined at 29° clockwise from gauge B are 108.5 microstrain and 334.9 microstrain, respectively. d) The normal strain and shear strain on a plane inclined at 29° clockwise from gauge B are 108.5 microstrain and 167.4 microstrain,…Given the stress tensor: Find: 3 36 27 0 σ = 27-36 00 0 18 (a) The components of the traction (force per unit area) acting on a plane with unit normal n= 2 21 3 3'3 T (b) The component of the traction in the direction of the normal (c) The angle between the traction and the normal vector (d) The magnitude of the traction vector (e) The net force acting on a cube with corners at (x,y,z)=(±1,±1,±1)
- The state of stress at a point in an engine piston is given in the x-y-z coordinates by: 90 180 [0]=0, MPa = 180 240 yx yy 120 zy Using the matrix transformation law, determine the state of stress at the same point for an element rotated about the x-axis (in the y-z plane) 60° clockwise from its original position. Calculate the stress invariants and write the characteristic equation for the original state of stress, Calculate the deviatoric invariants for the original state of stress, Calculate the principal stresses and the absolute maximum shear stress at the point. What are the stress invariants and the characteristic equation for the transformed state of stress, а. b. С. d. eWhenever material is subjected to compressive load within the elastic limit, stress is nonlinear to strain. Select one: True FalseTensile test specimens are extracted from the "X" and "y" directions of a rolled sheet of metal. "x" is the rolling direction, "y" is transverse to the rolling direction, and "z" is in the thickness direction. Both specimens were pulled to a longitudinal strain = 0.15 strain. For the sample in the x-direction, the width strain was measured to be ew= -0.0923 at that instant. For the sample in the y-direction, the width strain was measured to be gw=-0.1000 at that instant. The yield strength of the x-direction specimen was 50 kpsi and the yield strength of the y-direction specimen was 52 kpsi. Determine the strain ratio for the x direction tensile test specimen. Determine the strain ratio for the y-direction tensile test specimen. Determine the expected yield strength in the z-direction. Give your answer in units of kpsi (just the number). If the sheet is plastically deformed in equal biaxial tension (a, = 0, to the point where & = 0.15, calculate the strain, 6, that would be expected.