A square plate is 1.0 × 10-2 m thick, measures 3.5 × 10-2 m on a...
A square plate is 1.0 × 10-2 m thick, measures 3.5 × 10-2 m on a side, and has a mass of 7.2 × 10-2 kg. The shear modulus of the material is 2.9 × 1010 N/m2. One of the square faces rests on a flat horizontal surface, and the coefficient of static friction between the plate and the surface is 0.86. A force is applied to the top of the plate, as in Figure (a). Determine (a) the maximum possible amount of shear stress, (b) the maximum possible amount of shear strain, and (c)the maximum possible amount of shear deformation ΔX (see Figure (b)) that can be created by the applied force just before the plate begins to move.
Homework Answers
ad) PRENTER VERSION BACK NEXT Chapter 10, Problem 66 GO A square plate is 2.2 x...
ad) PRENTER VERSION BACK NEXT Chapter 10, Problem 66 GO A square plate is 2.2 x 102 m thick, measures 3 square faces rests on a flat horizontal surface, and the coefficient of static friction between the Figure (a). Determine (a) the maximum possible am shear deformation AX (see Figure (b)) that can be created by the applied force just before the plate begins to move. a side, and has a mass of 7.2 × 10-2 kg. The shear modulus...
A square steel plate is 8.00 cm on a side and 0.300 cm thick. Assume that...
A square steel plate is 8.00 cm on a side and 0.300 cm thick. Assume that the plate is oriented with the square faces horizontal to the ground. a force of magnitude 7.00×105 N is applied to both the top and bottom surfaces of the plate (the square sides). Each of the forces is applied in a direction parallel to the surface they are exerted on, and they point in opposite directions. Find the shear strain caused by these forces....
A square steel plate is 7.00 cm on a side and 0.500 cm thick. Assume that...
A square steel plate is 7.00 cm on a side and 0.500 cm thick. Assume that the plate is oriented with the square faces horizontal to the ground. Part A As shown in (Figure 1) a force of magnitude 1.20×106 N is applied to both the top and bottom surfaces of the plate (the square sides). Each of the forces is applied in a direction parallel to the surface they are exerted on, and they point in opposite directions. Find...
A block that is a m square slides from left to right across a flat plate...
A block that is a m square slides from left to right across a flat plate on a thin film of oil. The oil has viscosity μ N·s/m2 and the film is h m thick. The block of mass M kg moves at steady speed U m/s under the influence of constant force F N. (a) Find the magnitude of the shear stresses on the bottom of the block. Indicate the direction of the shear stresses on the bottom of...
For the Shear stress, I’m wondering how in the world you get 250m^2 from (.80m)(.0050m)? 328...
For the Shear stress, I’m wondering how in the world you get
250m^2 from (.80m)(.0050m)?
328 CHAPTER 11 Elasticity and Periodic Motion EXAMPLE 11.3 Minor earthquake damage Video Tutor Now let's look at the shear stress that can develop in an earthquake. Suppose the brass baseplate of an out- door sculpture experiences shear forces as a result of a mild earthquake. The plate is a square, 0.80 m on a side and 0.50 cm thick. How large a force Fi...
The uniform square plate of mass m = 10 kg is lying motionless on the horizon...
The uniform square plate of mass m = 10 kg is lying motionless on the horizon frictionless surface when the force P = 80 N is applied at A as shown. Determine the initial acceleration of point A and B. Friction is negligible and the distance bis 200 m
160 mm 10 mm A hollow cylindrical steel shaft is 1.5 m long and has inner...
160 mm 10 mm A hollow cylindrical steel shaft is 1.5 m long and has inner and outer diameters respectively equal to 40 and 60 mm. The allowable shearing stress is 120 MPa with a modulus of rigidity (shear modulus) G-77 GPa, assuming fully elastic deformation. (a) What is the largest torque that can be applied to the shaft? (5 points) (b) What is the corresponding minimum value of the shearing stress in the shaft? (5 points) (c) What are...
The rectangular steel plate below measures 1 m x 0.5 m x 10 mm. Assume that...
The rectangular steel plate below measures 1 m x 0.5 m x 10 mm. Assume that the 1 m dimension is in the x-direction and the 0.5 m dimension is in the y-direction. The plate is made of a material with an elastic modulus of 200 GPa and Poisson's Ratio of 0.3. Suppose a uniform normal stress, Ox, of 125 MPa is applied in the x-direction a) Calculate the stress, ay, required to produce a transverse strain Ey 0 (in...
(1) (2) A. The square bar shown (Figure 1) is 2 in. thick and 12 ft...
(1) (2)
A. The square bar shown (Figure 1) is 2 in. thick and 12 ft long
and is fixed supported at both ends. A load directed leftward is
applied at point C, as shown, L2 = 10.6 ft from the left end. The
modulus of elasticity is E = 1.5×104 ksi. If point C
moves δ = 3×10−3 in. to the left, what is the applied
force?
B. Consider a new structure, where the thickness of the bar is...
A square wood platform of side-length ? = 2.4 m rests on masonry walls. The deck...
A square wood platform of side-length ? = 2.4 m rests on masonry
walls. The deck of the platform is constructed of 4 cm thick planks
supported on two beams which are 2.4 m long. The beams have a width
of 100 mm and height of 150 mm and are supported at their ends by
the walls. The structure is designed to support a uniformly
distributed load, ?? (kN/m2), acting over the entire top surface of
the platform. The tensile...
ad) PRENTER VERSION BACK NEXT Chapter 10, Problem 66 GO A square plate is 2.2 x 102 m thick, measures 3 square faces rests on a flat horizontal surface, and the coefficient of static friction between the Figure (a). Determine (a) the maximum possible am shear deformation AX (see Figure (b)) that can be created by the applied force just before the plate begins to move. a side, and has a mass of 7.2 × 10-2 kg. The shear modulus...
For the Shear stress, I’m wondering how in the world you get
250m^2 from (.80m)(.0050m)?
328 CHAPTER 11 Elasticity and Periodic Motion EXAMPLE 11.3 Minor earthquake damage Video Tutor Now let's look at the shear stress that can develop in an earthquake. Suppose the brass baseplate of an out- door sculpture experiences shear forces as a result of a mild earthquake. The plate is a square, 0.80 m on a side and 0.50 cm thick. How large a force Fi...
The uniform square plate of mass m = 10 kg is lying motionless on the horizon frictionless surface when the force P = 80 N is applied at A as shown. Determine the initial acceleration of point A and B. Friction is negligible and the distance bis 200 m
160 mm 10 mm A hollow cylindrical steel shaft is 1.5 m long and has inner and outer diameters respectively equal to 40 and 60 mm. The allowable shearing stress is 120 MPa with a modulus of rigidity (shear modulus) G-77 GPa, assuming fully elastic deformation. (a) What is the largest torque that can be applied to the shaft? (5 points) (b) What is the corresponding minimum value of the shearing stress in the shaft? (5 points) (c) What are...
The rectangular steel plate below measures 1 m x 0.5 m x 10 mm. Assume that the 1 m dimension is in the x-direction and the 0.5 m dimension is in the y-direction. The plate is made of a material with an elastic modulus of 200 GPa and Poisson's Ratio of 0.3. Suppose a uniform normal stress, Ox, of 125 MPa is applied in the x-direction a) Calculate the stress, ay, required to produce a transverse strain Ey 0 (in...
(1) (2)
A. The square bar shown (Figure 1) is 2 in. thick and 12 ft long
and is fixed supported at both ends. A load directed leftward is
applied at point C, as shown, L2 = 10.6 ft from the left end. The
modulus of elasticity is E = 1.5×104 ksi. If point C
moves δ = 3×10−3 in. to the left, what is the applied
force?
B. Consider a new structure, where the thickness of the bar is...
A square wood platform of side-length ? = 2.4 m rests on masonry
walls. The deck of the platform is constructed of 4 cm thick planks
supported on two beams which are 2.4 m long. The beams have a width
of 100 mm and height of 150 mm and are supported at their ends by
the walls. The structure is designed to support a uniformly
distributed load, ?? (kN/m2), acting over the entire top surface of
the platform. The tensile...
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