The cylinder is then hung from a support at D. In order to close the cylinder, the plug must move down through 1 mm. Determine the force P that must be applied to the cylinder. Knowing that the magnitude of P is 4 kN, determine a the value of Q so that the deflection at A is zero, b the corresponding deflection of B. Member BD is a zero force member. For the loading shown, determine the elongation of a member AB, b member BC.
Use joint A as a free body. Determine the largest allowable load P if the change in length of member BD is not to exceed 1. Knowing that they support rigid member ABC, A B determine the maximum force P that can be applied vertically at point A if mm the deflection of A is not to exceed 0.
Determine the change in length of a member BE, b member CF. Knowing that they support the E rigid member BC, determine the deflection of point E.
Denoting by E the modulus of elasticity of the material and neglecting the effect b of its weight, determine the deflection of point A. Determine a the normal stress in the aluminum shell, b the corresponding deformation of the assembly. Determine a the magnitude of the applied force, b the corresponding stress in the brass core. A polystyrene rod consisting of two cylindrical portions AB and BC is restrained at 25 in. B 15 in.
Each of the rods AB and CD has a 0. E The rigid bar AD is supported by two steel wires of -in. Knowing that the 10 in. The cross- sectional area of the wire at B is equal to half of the cross-sectional area of the D B wires at A and C. Determine the tension in each wire caused by the load P shown.
Knowing that the wires 15 in. Determine the largest allowable increase in Steel core temperature if the stress in the steel core is not to exceed 8 ksi. For equilibrium with zero total force, the compressive force in the brass shell is Ps. For equilibrium with zero total force, the compressive force in the six steel rods equals Pc. Shortening due to induced compressive force P.
Solve Prob. When the steel bars were fabricated, the distance between the centers of the holes that were to fit on the pins was made Steel 5 mm 0. The steel bars were then placed in Brass an oven to increase their length so that they would just fit on the pins.
P Steel Following fabrication, the temperature in the steel bars dropped back to 40 mm room temperature. Determine a the increase in temperature that was required to fit the steel bars on the pins, b the stress in the brass bar after the load is applied to it. For the added load, the additional deformation is the same for both the steel and the brass.
Also, let Ps and Pb be the additional forces developed in the steel and brass, respectively. When the steel bars were fabricated, 40 mm the distance between the centers of the holes that were to fit on the pins was made 0. The steel bars were then placed in an oven to increase their length so that they would just fit on the pins.
Following fabrication, the temperature in the steel bars dropped back to room temperature. The steel link is heated until the aluminum rod can be fitted freely into the link. Determine the final normal stress a in the rod, b in the link. It is also the tensile force in the steel link. Knowing that a 0. The test specimen is a 85 -in. Knowing that an elongation of 0. Determine the A B resulting change a in the mm gage length, b in 12 mm the width of portion AB of the test coupon, c in the thickness of portion AB, d in the cross- sectional area of portion AB.
A fabric used in air-inflated structures is subjected to a biaxial 3 in. After pressurization the biaxial stress condition at the square is as 1 in. Plane sections perpendicular to the longitudinal axis remain plane and the same distance apart. The plastic block shown is bonded to a rigid support and to a vertical plate to which a kip load P is applied.
The beam must not displace more than 83 in. Knowing that the maximum allowable shearing stress is 60 psi, determine a the smallest allowable dimension b, b the smallest P required thickness a. Determine the resulting change a in the mm gage length, b in the width of portion AB of the test coupon, c in the thickness of portion AB, d in the cross-sectional area of portion AB. Determine the largest allowable force P that can be applied to rod A if its deflection is not B 80 mm to exceed 2.
Show that any one of these constants may be expressed in terms of any other two constants. The cube is constrained against deformations in the y and z directions and is subjected to a tensile load of 65 kN in the x direction. A hole is to be drilled in the plate at A. If the allowable stress in the plate is 21 ksi, determine a the diameter d of the largest bit that can be used if the allowable load P at the hole is to exceed that at the fillets, b the corresponding allowable load P.
A centric axial force is applied to the steel bar shown. Knowing that 5 in. After the rod has been 1. After the rod B 6 mm D has been attached to the rigid lever CD, it is found that end C is 6 mm d1 too high.
Determine the maximum value of the force P and the permanent mm set of the rod after the force has been removed. A load P is applied at C as shown. Assuming both steels to be mm elastoplastic, determine a the maximum deflection of C if P is gradually increased P from zero to kN and then reduced back to zero, b the maximum stress in each B portion of the rod, c the permanent deflection of C.
Assuming both steels to be elastoplastic, determine a the maximum deflection of C if P is gradually increased from zero to kN and then reduced back to zero, b the maximum stress in each portion of the rod, c the permanent deflection of C. A force 2m Q is applied at C to the rigid bar ABC and is gradually increased from 0 to 50 kN and then reduced to zero. Knowing that the cables were initially taut, determine a the maximum stress that occurs in cable BD, b the maximum deflection of point C, c the final displacement of point C.
Knowing that the magnitude of P is 4 kN, determine a the value of Q so that the deflection at A is zero, b the corresponding deflection of B. Member BD is a zero force member. For the loading shown, determine the elongation of a member AB, b member BC. Use joint A as a free body. Determine the largest allowable load P if the change in length of member BD is not to exceed 1. Knowing that they support rigid member ABC, A B determine the maximum force P that can be applied vertically at point A if mm the deflection of A is not to exceed 0.
Determine the change in length of a member BE, b member CF. Knowing that they support the E rigid member BC, determine the deflection of point E. Denoting by E the modulus of elasticity of the material and neglecting the effect b of its weight, determine the deflection of point A. Determine a the normal stress in the aluminum shell, b the corresponding deformation of the assembly.
Determine a the magnitude of the applied force, b the corresponding stress in the brass core. A polystyrene rod consisting of two cylindrical portions AB and BC is restrained at 25 in. B 15 in. Each of the rods AB and CD has a 0. E The rigid bar AD is supported by two steel wires of -in. Knowing that the 10 in. The cross- sectional area of the wire at B is equal to half of the cross-sectional area of the D B wires at A and C. Determine the tension in each wire caused by the load P shown.
Knowing that the wires 15 in. Determine the largest allowable increase in Steel core temperature if the stress in the steel core is not to exceed 8 ksi. For equilibrium with zero total force, the compressive force in the brass shell is Ps. For equilibrium with zero total force, the compressive force in the six steel rods equals Pc. Shortening due to induced compressive force P.
Solve Prob. When the steel bars were fabricated, the distance between the centers of the holes that were to fit on the pins was made Steel 5 mm 0. The steel bars were then placed in Brass an oven to increase their length so that they would just fit on the pins. P Steel Following fabrication, the temperature in the steel bars dropped back to 40 mm room temperature.
Determine a the increase in temperature that was required to fit the steel bars on the pins, b the stress in the brass bar after the load is applied to it. For the added load, the additional deformation is the same for both the steel and the brass.
Also, let Ps and Pb be the additional forces developed in the steel and brass, respectively. When the steel bars were fabricated, 40 mm the distance between the centers of the holes that were to fit on the pins was made 0. The steel bars were then placed in an oven to increase their length so that they would just fit on the pins.
Following fabrication, the temperature in the steel bars dropped back to room temperature. The steel link is heated until the aluminum rod can be fitted freely into the link. Determine the final normal stress a in the rod, b in the link.
It is also the tensile force in the steel link. Knowing that a 0. The test specimen is a 85 -in. Knowing that an elongation of 0. Determine the A B resulting change a in the mm gage length, b in 12 mm the width of portion AB of the test coupon, c in the thickness of portion AB, d in the cross- sectional area of portion AB. A fabric used in air-inflated structures is subjected to a biaxial 3 in. After pressurization the biaxial stress condition at the square is as 1 in.
Plane sections perpendicular to the longitudinal axis remain plane and the same distance apart. The plastic block shown is bonded to a rigid support and to a vertical plate to which a kip load P is applied. The beam must not displace more than 83 in. Knowing that the maximum allowable shearing stress is 60 psi, determine a the smallest allowable dimension b, b the smallest P required thickness a.
Determine the resulting change a in the mm gage length, b in the width of portion AB of the test coupon, c in the thickness of portion AB, d in the cross-sectional area of portion AB. Determine the largest allowable force P that can be applied to rod A if its deflection is not B 80 mm to exceed 2. Show that any one of these constants may be expressed in terms of any other two constants. The cube is constrained against deformations in the y and z directions and is subjected to a tensile load of 65 kN in the x direction.
A hole is to be drilled in the plate at A. If the allowable stress in the plate is 21 ksi, determine a the diameter d of the largest bit that can be used if the allowable load P at the hole is to exceed that at the fillets, b the corresponding allowable load P.
A centric axial force is applied to the steel bar shown. Knowing that 5 in. After the rod has been 1. After the rod B 6 mm D has been attached to the rigid lever CD, it is found that end C is 6 mm d1 too high. Determine the maximum value of the force P and the permanent mm set of the rod after the force has been removed.
A load P is applied at C as shown. Assuming both steels to be mm elastoplastic, determine a the maximum deflection of C if P is gradually increased P from zero to kN and then reduced back to zero, b the maximum stress in each B portion of the rod, c the permanent deflection of C. Assuming both steels to be elastoplastic, determine a the maximum deflection of C if P is gradually increased from zero to kN and then reduced back to zero, b the maximum stress in each portion of the rod, c the permanent deflection of C.
A force 2m Q is applied at C to the rigid bar ABC and is gradually increased from 0 to 50 kN and then reduced to zero. Knowing that the cables were initially taut, determine a the maximum stress that occurs in cable BD, b the maximum deflection of point C, c the final displacement of point C. Further assume that the rods are 2m braced so that they can carry compressive forces. Knowing that the cables were initially taut, determine a the maximum stress Q that occurs in cable BD, b the maximum deflection of point C, c the 1m 1m final displacement of point C.
Hint: In part c, cable CE is not taut. This composite bar is subjected as shown to a centric axial load of 16 in.
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