A rectangular titanium plate has the following dimensions. a = 20 mm, b = 15 mm, and c=5 mm. Uniformly distributed tensile forces of 7.50 kN act in the z direction. Determine the strains in the x, y, and z directions. Let E = 120 GPa, and v = 0.35.
Q: The X- axis strains with oriented angle of the bone surface are shown in table X- axis strain (x…
A:
Q: 2. A sheet of copper is stretched biaxially in the xy-plane. If the strains in the sheet are 0.40 x…
A:
Q: A 5 mm diameter aluminium alloy test bar is subjected to a load of 500 N. If the diameter of the bar…
A: Given, Initial diameter = D0 = 5 mm Final diameter = D = 4 mm Load = P = 500 N True strain is…
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: Two bars are used to support a load. When unloaded, AB is 5 in. long, AC is 8 in. long, and the ring…
A:
Q: 2-The strain of a component, which has a tensile modulus of 5 X 105 MPa, and subjected to a stress…
A:
Q: Rigid bar ABCD is supported by two bars. There is no strain in the vertical bars before load P is…
A: (a) To find: The normal strain in bar 1. Given: The dimensions are L1=1900 mm, L2=1425 mm, a=190 mm,…
Q: A force P is applied to ring A connecting the two wires together. As a result, point A is displaced…
A:
Q: a free surface of a machine point (E = 214Gpa, G= 83Gpa) the stress state is shown on the diagram…
A:
Q: QUESTION 4: An originally rectangular rubber piece is deformed into the shape given by the dashed…
A: To find (a) The average normal strain along AC and BC. (b) The shear strain γxy along all the…
Q: Please include a free body diagram Solve for: a) Normal strain in the x- direction −4.0 ×…
A:
Q: The 45° strain rosette is mounted on a surface of the bracket . The bracket is made from steel with…
A:
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 45° strain rosette shown in Figure 5 is mounted on a machine element. The following readings are…
A: Given:
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: A set of strain rosette with three strain gauges at 120° apart is attached onto a steel structure…
A:
Q: A sheet of steel is stretched biaxially in the xy-plane. The strains in the sheet are described…
A:
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…
A:
Q: Question 3 An element material in plane strain undergoes the following strains: ε- 400μ, Eν = 220μ,…
A:
Q: A short column tube of length L = 400 mm is loaded by a compressive force P. The outside and inside…
A:
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: A rectangular metal slab has dimensions 4m, 2m and 1m in the x,y and z directions respectively. The…
A:
Q: 2. A sheet of copper is stretched biaxially in the xy-plane. If the strains in the sheet are 0.40 x…
A:
Q: The steel (E = 200GPa, v=0.32) vertical post is loaded to the forces as shown in Figure Q1. If the…
A:
Q: Q1: A flat plate 2m long, 1m wide and 10mm thick. If a uniform tension is applied in the…
A:
Q: If a rubber material is deformed as shown in the following figure. determine the normal strain along…
A:
Q: H.W.8 When an axial load is applied to the ends of the two- segment rod shown in Figure P2.1, the…
A: Given:- ε2=2075 μm/m a=1.2m b=2.8m To find:- (a) Elongation of segment(2) (b) Strain in segment (1)
Q: Figure shows a strain rosette that is attached on the surface of a production equipment. The strain…
A:
Q: A steel alloy specimen having a rectangular cross section of dimensions 18.1 mm × 3.3 mm (0.7126 in.…
A:
Q: For the plate in figure 1 below, determine the exact solution for i. displacements u(x), v(y) ii.…
A: (i) Here, p is pressure applied on the plate. Now, write the displacements. u(x)=-pxE
Q: A sheet of copper is stretched biaxially in the xy-plane. If the strains in the sheet are…
A:
Q: IB applied at point B of the frame seen below forcing point B to move 2.0 mm to the right. rmine the…
A:
Q: Compound axial member ABC has a uniform diameter of d=1.45 in. Segment (1) is an aluminum…
A: Given, A compound axial member made of Aluminum and copper Diameter of the axial member, d=1.45 in.…
Q: Q1. A simple bar element is shown below. It is initially horizontal, with length L. Under some…
A: INTRODUCTION : The distortion of the body caused by the application of a load or force is known as…
Q: (b) A 60° delta strain gauge rosette is attached to the surface of a loaded pressure vessel and the…
A: E = 208 GN/m2 v = 0.32
Q: Problem 3: For a given strain gage below; Ea = 0.001 %3D Eb = 0.002 ɛc = 0.004 60 60 Using the above…
A:
Q: When an axial load is applied to the ends of the two- segment rod shown in Figure P2.1, the total…
A:
Q: (iii) What is the strain of brass rod of length 250mm which is subjected to a tensile load of 50kN…
A: Given : Length L= 250 mm load P = 50 KN Change in length L1 = 0.5 mm
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: Problem (7.4): An element of material subjected to plane strain (see figure 7.33) has strains as…
A:
Q: B. If a rubber material is deformed as shown in the following figure, determine the normal strain…
A:
Q: is positioned at point A for strain measurement. The orientation of the strain rosette is shown in…
A:
Q: Ex4: Determine the average normal strains in the two wires in Fig. 2-5 if the ring at A moves to A'.…
A: FREE BODY DIAGRAM is a diagram of the system which represents all the forces acting on the system.…
Q: 1. A sheet of copper is stretched biaxially in the xy-plane. If the strains in the sheet are Ex 0:40…
A:
Q: 2- When an axial load is applied to the ends of the bar shown in the Figure 2, the total elongation…
A:
Q: A rigid steel bar ABC is supported by three rods made of steel [E=200 GPa]. There is no strain in…
A:
Q: 3. An aluminum alloy plate (E = 70 GPa and v = 0.3), of thickness t= 8 mm, width b= 150 mm, and…
A: Given Data: The value of E=70 GPa and v=0.3. The value of t=8 mm, b=150 mm, and a=300 mm. The value…
Q: A high-density polyethylene [E = 128 ksi; α= 88 x 10-6/°F; υ = 0.4] bar is positioned between two…
A: Given: E = 128 ksi Coefficient of thermal expansion, α = 88×10-6 /°F Poisson's Ratio, υ = 0.4…
Q: A 60° strain rosette is installed on the traction-free surface of a component with one of the strain…
A: *As per our guidelines we are supposed to answer first three sub-parts of the question. Kindly…
A rectangular titanium plate has the following
dimensions. a = 20 mm, b = 15 mm, and c=5 mm. Uniformly distributed tensile forces of 7.50 kN act in the z direction. Determine the strains in the x, y, and z directions. Let E = 120 GPa, and v = 0.35.
Step by step
Solved in 2 steps with 2 images
- 2) Find the strains in the 1-2 coordinate system (local axes) in a unidirectional boron/epoxy lamina with 50% fiber volume fraction, if the stresses in the 1-2 coordinate system applied to are ơ1 = 6 MPa, ơ2 =2 MPa, and T12 = -4 MPa. Use the properties of the given unidirectional lamina in the book and assume plane stress conditions for the lamina.Figure Q2 (b) shows a strain rosette that is attached on the surface of a production equipment.The strain readings are εa = -200(10-6), εb = -65(10-6) and εc = 130(10-6).i) Determine the in-plane principal strains and sketch the strain element.ii) Determine the maximum in-plane shear strain and sketch the strain element.iii) What is the angle of orientation (with respect to x-axis) that leads to εx’ = 0?If an isotropic material has a shear modulus of 125 Gpa and a Poisson's ratio of 0.2, calculate its Young's modulus. Select one: O E= 80 Gpa O E= 450 Gpa O E= 60 Gpa %3D O E= 30 Gpa %3D O E= 300 Gpa %3D If a rubber material is deformed as shown in the following figure, determine the normal strain along diagonal BD.
- A 1.9-m-long rigid bar AD is pinned to a wall at A and connected to two wires at B and C as shown in Figure 3.1. The wires are attached to the walls at E and F, respectively. When the downward force p at D produces a clockwise rotation of the bar AD of 3°, find the normal strain for wires BE and CF using the dimensions in the figure. 600 mm D 1000 mm 600 mm 300 mm Figure 3.1 ww 000TA rigid steel bar is supported by three rods, as shown. There is no strain in the rods before the load P is applied. After load P is applied, the normal strain in rod (2) is 1020 μin./in. Assume initial rod lengths of L1 = 148 in. and L2 = 78 in. Determine(a) the normal strain in rods (1).(b) the normal strain in rods (1) if there is a 0.043 in. gap in the connections between the rigid bar and rods (1) at joints A and C before the load is applied.(c) the normal strain in rods (1) if there is a 0.043 in. gap in the connection between the rigid bar and rod (2) at joint B before the load is applied.Question 2 A 60° strain rosette is installed on the traction-free surface of a component with one of the strain gages aligned along the y-axis, as illustrated in Figure Q2. The gages show the following strain readings upon loading the structure: E, = 925 x10“ ; &, = 740 x10“ ; ɛ. = -555 ×106 (a) Determine the strains in the x-y directions and show the corresponding strain element. (b) Calculate the principal in-plane strains and the corresponding principal directions. Show the principal strain element. (c) Calculate the in-plane maximum shear strain and show the corresponding strain element. (d) If the structure is made of steel with elastic modulus and Poisson's ratio of 220 GPa and 0.30, respectively, calculate the principal stresses. Show the principal stress element. (e) Determine the normal strain in the n-direction. & Ea
- A 45° strain rosette (see figure 4) mounted on the surface of a car chassis gives the following readings: εA = 310×10−6, εB = 180×10−6 and εC = −160×10 −6. Determine the principal strains and maximum shear strains and show them on appropriately oriented element diagrams.A rigid steel bar is supported by three rods as shown. There is no strain in the rods before the load P is applied. After load P is applied, the normal strain in rods (1) is 2410 µm/m. Assume initial rod lengths of L₁ = 1,250 mm and L₂ = 2,000 mm. Determine the normal strain in rod (2). (1) 4₁ (2) Rigid bar O 975 μm/m O 1072 μm/m O 1757 µm/m O 1656 µm/m O 1506 μm/m B P L₂ (1)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. (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.
- A rigid steel bar is supported by three rods as shown. There is no strain in the rods before the load P is applied. After load P is applied, the normal strain in rods (1) is 4150 μm/m. Assume initial rod lengths of L₁ = 1,250 mm and L2 = 2,000 mm. Determine the normal strain in rod (2). (1) 4₁ Rigid bar (2) O 2849 μm/m O 3261 µm/m O 3071 µm/m O 3584 µm/m O 2594 μm/m B P L₂ C (1)A sheet of copper is stretched biaxially in the xy-plane. If the strains in the sheet are 0.40 x 10 -3 in thex direction and 0.30 x 10-3 in the y direction, determine the stresses in the x and y direction. Also,determine the strain in the z direction. The modulus of elastic and Poisson’s ratio of copper is 110GPa and 0.35 respectively.2. A sheet of copper is stretched biaxially in the xy-plane. If the strains in the sheet are 0.40 x 10 - in the x direction and 0.30 x 10 in the y direction, determine the stresses in the x and y direction. Also, determine the strain in the z direction. The modulus of elastic and Poisson's ratio of copper is 110 GPa and 0.35 respectively. 3. If the copper in no. 2 is changed into steel with the same dimensions and with a modulus of elasticity of 200 GPa and a Poisson's ratio of 0.30, determine the strains in all direction if the same stresses in no. 2 where to be applied to the steel. €, E,