A sign with dimensions of 2.0 m x 1.2 m is supported by a hollow circular...
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A sign with dimensions of 2.0 m x 1.2 m is supported by a hollow circular pole having an outer diameter of 220 mm and an inner diameter of 180 mm (see figure). This sign is offset 0.5 m from the centerline of the pole, and its lower edge is 6.0 m above the ground. Neglecting the weight of the sign and pole, please: (a) Determine the internal loads (e.g., Fx, Fy, F2, Mx, My, and M2) at the section through points A and B acting on the base of the pole due to a wind pressure (p) of 2.0 kPa against the sign. (Hint: The wind pressure against the sign produces a resultant force that acts at the midpoint of the sign and is equal to the wind pressure p times the sign area over which it acts.) Use the given x-y-z coordinate system to state the proper signs ("+" or "-") according to the statics sign convention. (b) Determine the state of stress values at point A and B. Both points A and B are on the outside surface. (c) Show appropriate stress arrows and stress values on the plane-stress elements shown for both points A and B. Indicate the positive coordinate direction (x, y) or (y, z) on your diagrams. Include UNITS and SIGNS: Include UNITS for all: У At point A %3D Ох 0.5 m Fy : -2,0 m oy = 54. 9 MPa [T Tim's Bookstore F = - 4800N 1.2 m 6.24 MPa Tzy = Mx = - 31. 68 kN-m 6.0 m 7200 N.m My At point B бy M2 %3D 0, = Tyz = -7.00 MPa %3D 180 mm 54,9 MPa 220 mm 6.24 MPa 7.00 MPa х A NV A sign with dimensions of 2.0 m x 1.2 m is supported by a hollow circular pole having an outer diameter of 220 mm and an inner diameter of 180 mm (see figure). This sign is offset 0.5 m from the centerline of the pole, and its lower edge is 6.0 m above the ground. Neglecting the weight of the sign and pole, please: (a) Determine the internal loads (e.g., Fx, Fy, F2, Mx, My, and M2) at the section through points A and B acting on the base of the pole due to a wind pressure (p) of 2.0 kPa against the sign. (Hint: The wind pressure against the sign produces a resultant force that acts at the midpoint of the sign and is equal to the wind pressure p times the sign area over which it acts.) Use the given x-y-z coordinate system to state the proper signs ("+" or "-") according to the statics sign convention. (b) Determine the state of stress values at point A and B. Both points A and B are on the outside surface. (c) Show appropriate stress arrows and stress values on the plane-stress elements shown for both points A and B. Indicate the positive coordinate direction (x, y) or (y, z) on your diagrams. Include UNITS and SIGNS: Include UNITS for all: У At point A %3D Ох 0.5 m Fy : -2,0 m oy = 54. 9 MPa [T Tim's Bookstore F = - 4800N 1.2 m 6.24 MPa Tzy = Mx = - 31. 68 kN-m 6.0 m 7200 N.m My At point B бy M2 %3D 0, = Tyz = -7.00 MPa %3D 180 mm 54,9 MPa 220 mm 6.24 MPa 7.00 MPa х A NV
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