P7-8. A loading causes the member to deform into the dashed shape. Explain how to determine the normal strains ECp and eAn. The displacement A and the lettered dimensions are known. B. -2 L-
Q: 7-87. The triangular plate is fixed at its base, and its apex A is given a horizontal displacement…
A: Write the given data:
Q: 3. The rectangular plate undergoes a deformation shown by the dashed lines. Determine the shear…
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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: Write the given data:
Q: 9-29. The bar has a cross-sectional area of 1800 mm', and E - 250 GPa. Determine the displacement of…
A: From the figure, the load acting on the bar is a variably distributed load. Write the formula for…
Q: P7-5. The lever is held to the fixed shaft using the pin AB. If the couple is applied to the lever,…
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Q: 14-22. The bolt has a diameter of 10 mm, and the arm AB has a rectangular cross section that is 12…
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Q: 7-51. The two steel members are joined together using a 30° scarf weld. Determine the average normal…
A: Draw the free-body diagram of the upper section of the member.
Q: F7-29. The square plate is deformed into the shape shown by the dashed line. Determine the average…
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Q: 14-22. The bolt has a diameter of 10 mm, and the arm AB has a rectangular cross section that is 12…
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Q: *RI4-8. A strain gauge forms an angle of 45° with the axis of the 50-mm diameter shaft. If it gives…
A: Write the expression of the polar moment of inertia.
Q: *7-44. The plastic block is subjected to an axial compressive force of 600 N. Assuming that the caps…
A: Given: The axial compressive force acting on the horizontal plane is F1=-600 N The inclination of…
Q: 7-78. If a load applied to the bar AC causes point A to be displaced to the right by an amount AL,…
A: Assumption made : Displacement is much smaller than L Draw a sketch after extension of bar AC
Q: F8-12. If the elongation of wire BC is 0.2 mm after the force Pis applied, determine the magnitude…
A: elongation of wire BC 8= 0.2 mmd= 3 mm , l= 300 mm→ For A-36 steel , E= 200 GPa σy= 250 MPa
Q: Determine the torsional strain energy in the A-36 steel shaft. The shaft has a radius of 40 mm.
A: Draw the schematic diagram for the above problem.
Q: P7-6. The single-V butt joint transmits the force of 5 kN from one bar to the other. Determine the…
A: Given data The joint type is: Single-V butt joint Force transfer from the bar: 5 kN Adding the…
Q: 14-94. Due to the load P, the state of strain at the point on the bracket has components of 4=…
A: Given data
Q: F7-25. When force P is applied to the rigid arm ABC, point B displaces vertically downward through a…
A: The normal strain of the wire CD = change in the length of wired CD/Initial length of CD. The given…
Q: The A-36 steel bar consists of two segments, one ofcircular cross section of radius r, and one of…
A: The strain energy stored in circular section,
Q: F8-11. The material for the 50-mm-long specimen has the stress-strain diagram shown. If P - 150 kN…
A: Given,P = 150 x 103NL = 50 mmd = 20 mmA = π4 d2 = π4 20 mm2 = 314.16 mm2Normal…
Q: 7-77. The wire AB is unstretched when e-45°. If a load is applied to the bar AC, which causes e to…
A: Given data: The angle of wire is θ = 47°. The unstretched length of wire is, Increased in length of…
Q: R7-7. The square plate is deformed into the shape shown by the dashed lines. If DC has a normal…
A: Strain is defined as the ratio of change in dimension to the Original dimension.
Q: Determine the vertical displacement of plate A due to shear deformations in the rubber. The…
A: Cross sectional area of shoe=(35mm X 25mm)Now,Shear stress on plate A,τ=(502)N(35mm X…
Q: 10-54. The smooth rigid-body cavity is filled with liquid 6061-T6 aluminum. When cooled it is 0.012…
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Q: 10-38. The strain gauge is placed on the surface of a thin- walled steel boiler as shown. If it is…
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Q: F8-10. The material for the 50-mm-long specimen has the stress-strain diagram shown. If P - 100 kN,…
A: Given Data: The load is P = 100 kN. The diameter of the specimen is d= 20 mm. The length of the…
Q: 7-83. The pin-connected rigid rods AB and BC are inclined at e- 30° when they are unloaded. When the…
A: Consider the diagram shown below for the initial condition.
Q: *10-8. The state of strain at the point on the bracket has components «, = -200(10* ), Yay =…
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Q: Data taken from a stress-strain test for a ceramic are given in the table. The curv is linear…
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Q: 8-25. The rubber block is subjected to an elongation of 3 mm. along the x axis, and its vertical…
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Q: 7-70. The assembly consists of three disks A, B, and C that are used to support the load of 140 kN.…
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Q: 10-9. The state of strain at the point has components of e, = 180(10“ ), e, = -120(10“), and y,y =…
A: Given: The strain along x-direction, εx = 180x10-6 The strain along y-direction, εy = -120x10-6 The…
Q: Q1. The information from Young Modulus I. Stress II. Strain III. Compression IV. Stiffness А. I B. I…
A: Dear student, we are suppose to solve only one question. Please post other question as a separate…
Q: 7-75. The square deforms into the position shown by the dashed lines Determine the shear strain at…
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Q: F8-16. A 20-mm-wide block is bonded to rigid plates at its top and bottom. When the force Pis…
A: Given data: Maximum elastic strain, γmax. = 0.005 rad. Calculate the angle due to shear from the…
Q: *7-56. The steel swivel bushing in the clevator control of an airplane is held in place using a nut…
A: It is given that the average shear stress (τ) is 145 MPa The diameter (d) = 20 mm The thickness (t)…
Q: 10-10. The state of strain at the point on the support has components of e = 350(10-*), e, =…
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Q: The state of plane stress shown occurs at a critical point of a metal machine component. As a result…
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Q: P9-3 The composite shaft, consisting of aluminium, copper, and steel sections, is subjected to the…
A: GIVEN DATA- FOR ALUMINIUM A=58mm2 , E=70GPa FOR COPPER A=77mm2 , E=126GPa FOR ALUMINIUM A=39mm2 ,…
Q: The triangular plate is fixed at its base, and its apex A is given a horizontal displacement of 5…
A:
Q: 7-45. The column is made of concrete having a density of 2.30 Mg/m'. At its top B it is subjected to…
A: Given Data: The density of the material is ρ=2.3 Mg/m3 The load applied to the column is P = 15 kN.…
Q: The A-36 steel bar consists of two segments, one of a circular cross-section of radius r, and one of…
A: The expression for the strain energy in the square segment is given as, Us=P2L2AE Here, P is the…
Q: 7-74. The rectangular plate is subjected to the deformation shown by the dashed lines. Determine the…
A: The original breadth of the plate BD=150 mm The original length of the plate BC=200 mm The deformed…
Q: P7-11. A loading causes the block to deform into the dashed shape. Explain how to determine the…
A: The initial angle of the side having point A with vertical can be written as below, α1=π2 rad The…
Q: F8-2. Indicate the points on the stress-strain diagram which represent the proportional limit and…
A: A is the proportional limit (Elastic limit) (In proportional limit stress is directly proportional…
Q: The A-36 steel post is subjected to the forces shown. If the strain gages a and b at point A give…
A: Given data: The required properties of A36 steel are: The area of the cross-section is The moment…
Q: 7-9. Determine the largest shear force Vthat the member can sustain if the allowable shear stres is…
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Q: 7-71. An air-filled rubber ball has a diameter of 150 mm. If the air pressure within it is increased…
A: The initial diameter of the ball is, Di=150 mm The final diameter of the ball is, Df=175 mm
Q: F7-26. If the force P causes the rigid arm ABC to rotate clockwise about pin A through an angle of…
A: The angle made by rigid arm, Also,
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- Determine the maximum force P and thecorresponding maximum total strain energy stored in thetruss without causing any of the members to have permanentdeformation. Each member has the cross-sectional area of2.5(103) mm2 and is made of A-36 steel.The A-36 steel bar consists of two segments, one of a circular cross-section of radius r, and one of square cross-section. If the bar is subjected to the axial loading of P, determine the dimensions of the square segment so that the strain energy within the square segment is the same as in the circular segment.The bolt has a diameter of 10 mm, and the arm AB has a rectangular cross section that is 12 mm wide by 7 mm thick. Determine the strain energy in the arm due to bending and in the bolt due to axial force. The bolt is tightened so that it has a tension of 500 N. Both members are made of A-36 steel. Neglect the hole in the arm.
- The spherical pressure vessel has an inner diameter of 2 m and a thickness of 10 mm. A strain gage having a length of 20 mm is attached to it, and it is observed to increase in length by 0.012 mm when the vessel is pressurized. Determine the pressure causing this deformation, and find the maximum in-plane shear stress, and the absolute maximum shear stress at a point on theouter surface of the vessel. The material is steel, for which Est = 200 GPa and nst = 0.3.The steel shaft has a radius of 15 mm. Determine the torque T in the shaft if the two strain gages, attached to the surface of the shaft, report strains of Px = -80(10-6) and Py = 80(10-6). Also, determine the strains acting in thex and y directions. Est = 200 GPa, nst = 0.3.The strain at point A on the pressure-vessel wall has components Px = 480(10-6), Py = 720(10-6), gxy =650(10-6). Determine (a) the principal strains at A, in the x9y plane, (b) the maximum shear strain in the x9y plane, and (c) the absolute maximum shear strain.
- The rod has a circular cross section. If it is made of an elastic perfectly plastic material, determine the shape factor for the rod.if the stress tensor at appoint on a body is defined by: -8 6 -21 [0] = 6 4 2 MPa 1-2 2-5) Determine the state of stress on an element that is oriented by first rotating the xyz axes 45° about the z axis and then rotating the resulting axes 30° about the x axisThe strain at point A on the bracket has normal components 250x10-6 and 550x10-6 in x and y directions, respectively and shear component -600 x10-6 in x-y plane. Determine the absolute maximum shear strain in 10-6 unit.
- If P = 60 kN, determine the total strain energy stored in the truss. Each member has a cross-sectional area of 2.5(103) mm2 and is made of A-36 steel.A single strain gage, placed in the vertical plane on the outer surface and at an angle 60° to the axis of the pipe, gives a reading at point A of PA = -250(10-6). Determine the principal strains in the pipe at this point. The pipe has an outer diameter of 1 in. and an inner diameter of 0.6 in. and is made of C86100 bronze.The rod has a circular cross-section with a polar moment of inertia J and moment of inertia I. If a vertical force P is applied at A, determine the vertical displacement at this point. Consider the strain energy due to bending andtorsion. The material constants are E and G.