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Problem 4. A cable of initial length L is subjected to a normal strain that is...
(4) Problem 4: Stress and Strain (8 Points). The rigid bar "AD" is subjected to a...
(4) Problem 4: Stress and Strain (8 Points). The rigid bar "AD" is subjected to a point load at "D". There is no strain in rods "BE" and "CF if"p=0". After "P" is applied, the normal strain in rod "CF" is "0.0007 mm/mm Determine: (a) Axial Normal Strain EBE. prion command (b) Axial Normal Strain EBE if there is a "5 x 10" m" gap in the connection between the rigid bar and rod "CF" before the load "P" is...
Problem 14.044 The strain rosette shown in the figure was used to obtain normal strain data...
Problem 14.044 The strain rosette shown in the figure was used to obtain normal strain data at a point on the free surface of a machine part. The rosette measures: 900 HE; Eb -350 με; Ec-1420 με; v-0.14. (a) Determine the strain components εχ,ey, and Yxy at the point. (b) Determine the principal strains (p1> Ep2) and the maximum in-plane shear strain Yip at the point. c) Determine the angle e, counterclockwise is positive, clockwise is negative), and then draw...
Question 3 (Numerical integration, efficient schemes) The length L of the main supporting cable of a...
Question 3 (Numerical integration, efficient schemes) The length L of the main supporting cable of a suspension bridge can be calculated by: 4h2 1/2 ral (1 +- L = -x²) dx Joq44 Where a is half the length of the bridge And h is the distance from the deck to the top of the tower where the cable is attached. Determine the length of a bridge with a=80 m and h=18m. Determine the cable length (with associated error of estimate)...
10. A hinged rigid bar of length/ is connected by two springs of stiffnesses k1 an and is subjected to a force F as...
10. A hinged rigid bar of length/ is connected by two springs of stiffnesses k1 an and is subjected to a force F as shown in the figure. Assuming that thean of the displacement of the bar is small (sin θ find the equival system that relates the applied force F at Point D, t d k2 lent spring constant of th o the resulting displacement x.
10. A hinged rigid bar of length/ is connected by two springs of...
The beam is subjected to the cable force of 4 kN. Part A Determine the normal...
The beam is subjected to the cable force of 4 kN. Part A Determine the normal stress at point A. (Figure 1) Express your answer with the appropriate units. HÅ ? OA Value Units Submit Request Answer Figure < 1 of 1 > 4 KN Part B -250 mm G 375 mm Determine the shear stress at point A. Express your answer with the appropriate units. D B 2 m 1 m 0.75 m μΑ ? 20 mm 100 mm...
Problem 4 Write the total strain energy and use Castigliano's theorem to determine the vertical displacement...
Problem 4 Write the total strain energy and use Castigliano's theorem to determine the vertical displacement of point A. Assume E, I and A are A constants. Neglect shear strain energy. L. Answer: ?- + E1 EA
Problem 2: Hanging cable A cable of uniform mass per unit length p(x)-ρ constant, hangs freely fr...
Problem 2: Hanging cable A cable of uniform mass per unit length p(x)-ρ constant, hangs freely from the ceiling as shown in the figure. Assume that the cable possesses no flexural stiffness. Derive the equation of motion for small horizontal vibrations y(x, t) of the cable as well as the associated boundary conditions.
Problem 2: Hanging cable A cable of uniform mass per unit length p(x)-ρ constant, hangs freely from the ceiling as shown in the figure. Assume that the...
A string of length L stretched and is subjected to a tension of T. The thickness...
A string of length L stretched and is subjected to a tension of T. The thickness of the string is not uniform, and therefore, its linear density varies according to: µ = µo + k x, where x is distance from the left side of the string, µo and k are constants. (µo is in units of kg/m, and k in units of kg/m-2). Determine how long does it take for a wave to travel from one end to the...
One end of a uniform rod of weight w = 72.5 N and length L =...
One end of a uniform rod of weight w = 72.5 N and length L = 2.80 m is supported by a cable at an angle of theta = 33.5 degree above the rod. The other end rests on a small frictionless support and presses into a wall as shown in the figure. Determine the magnitude n of the vertical normal force exerted by the support on the rod and find the magnitude f of the tension in the cable....
A long composite hollow cylinder (L >> 2c) is subjected to an internal pressure, p, as...
A long composite hollow cylinder (L >> 2c) is subjected to an internal pressure, p, as shown in the figure. Assuming idealized perfect bonding between the two materials, the normal stress and displacement will be continuous across the interface atr b. Determine the stress and displacement fields in each material. Assume isotropic material properties El, v, and E2, V2 (30 pts) 2a Material2 Material 1 2b 2C
(4) Problem 4: Stress and Strain (8 Points). The rigid bar "AD" is subjected to a point load at "D". There is no strain in rods "BE" and "CF if"p=0". After "P" is applied, the normal strain in rod "CF" is "0.0007 mm/mm Determine: (a) Axial Normal Strain EBE. prion command (b) Axial Normal Strain EBE if there is a "5 x 10" m" gap in the connection between the rigid bar and rod "CF" before the load "P" is...
Problem 14.044 The strain rosette shown in the figure was used to obtain normal strain data at a point on the free surface of a machine part. The rosette measures: 900 HE; Eb -350 με; Ec-1420 με; v-0.14. (a) Determine the strain components εχ,ey, and Yxy at the point. (b) Determine the principal strains (p1> Ep2) and the maximum in-plane shear strain Yip at the point. c) Determine the angle e, counterclockwise is positive, clockwise is negative), and then draw...
Question 3 (Numerical integration, efficient schemes) The length L of the main supporting cable of a suspension bridge can be calculated by: 4h2 1/2 ral (1 +- L = -x²) dx Joq44 Where a is half the length of the bridge And h is the distance from the deck to the top of the tower where the cable is attached. Determine the length of a bridge with a=80 m and h=18m. Determine the cable length (with associated error of estimate)...
10. A hinged rigid bar of length/ is connected by two springs of stiffnesses k1 an and is subjected to a force F as shown in the figure. Assuming that thean of the displacement of the bar is small (sin θ find the equival system that relates the applied force F at Point D, t d k2 lent spring constant of th o the resulting displacement x.
10. A hinged rigid bar of length/ is connected by two springs of...
The beam is subjected to the cable force of 4 kN. Part A Determine the normal stress at point A. (Figure 1) Express your answer with the appropriate units. HÅ ? OA Value Units Submit Request Answer Figure < 1 of 1 > 4 KN Part B -250 mm G 375 mm Determine the shear stress at point A. Express your answer with the appropriate units. D B 2 m 1 m 0.75 m μΑ ? 20 mm 100 mm...
Problem 4 Write the total strain energy and use Castigliano's theorem to determine the vertical displacement of point A. Assume E, I and A are A constants. Neglect shear strain energy. L. Answer: ?- + E1 EA
Problem 2: Hanging cable A cable of uniform mass per unit length p(x)-ρ constant, hangs freely from the ceiling as shown in the figure. Assume that the cable possesses no flexural stiffness. Derive the equation of motion for small horizontal vibrations y(x, t) of the cable as well as the associated boundary conditions.
Problem 2: Hanging cable A cable of uniform mass per unit length p(x)-ρ constant, hangs freely from the ceiling as shown in the figure. Assume that the...
One end of a uniform rod of weight w = 72.5 N and length L = 2.80 m is supported by a cable at an angle of theta = 33.5 degree above the rod. The other end rests on a small frictionless support and presses into a wall as shown in the figure. Determine the magnitude n of the vertical normal force exerted by the support on the rod and find the magnitude f of the tension in the cable....
A long composite hollow cylinder (L >> 2c) is subjected to an internal pressure, p, as shown in the figure. Assuming idealized perfect bonding between the two materials, the normal stress and displacement will be continuous across the interface atr b. Determine the stress and displacement fields in each material. Assume isotropic material properties El, v, and E2, V2 (30 pts) 2a Material2 Material 1 2b 2C
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