Engineering Mechanics: Statics
13th Edition
ISBN: 9780132915540
Author: Russell C. Hibbeler
Publisher: Prentice Hall
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Textbook Question
Chapter 9.2, Problem 58P
Neglect the size of the corner welds at A and B for the calculation.
Prob. 9-58
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The cantilevered spandrel beam shown whose depth tapers from d1 to d2, has a constant width of 120mm. It carries a triangularly distributed end reaction.Given: d1 = 600 mm, d2 = 120 mm, L = 1 m, w = 100 kN/m1. Calculate the maximum flexural stress at the support, in kN-m.2. Determine the distance (m), from the free end, of the section with maximum flexural stress.3. Determine the maximum flexural stress in the beam, in MPa.ANSWERS: (1) 4.630 MPa; (2) 905.8688 m; (3) 4.65 MPa
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A concrete wall retains water as shown. Assume that the wall is fixed at the base. Given: H = 3 m, t = 0.5m, Concrete unit weight = 23 kN/m3Unit weight of water = 9.81 kN/m3(Hint: The pressure of water is linearly increasing from the surface to the bottom with intensity 9.81d.)1. Find the maximum compressive stress (MPa) at the base of the wall if the water reaches the top.2. If the maximum compressive stress at the base of the wall is not to exceed 0.40 MPa, what is the maximum allowable depth(m) of the water?3. If the tensile stress at the base is zero, what is the maximum allowable depth (m) of the water?ANSWERS: (1) 1.13 MPa, (2) 2.0 m, (3) 1.20 m
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A short plate is attached to the center of the shaft as shown. The bottom of the shaft is fixed to the ground.Given: a = 75 mm, h = 125 mm, D = 38 mmP1 = 24 kN, P2 = 28 kN1. Calculate the maximum torsional stress in the shaft, in MPa.2. Calculate the maximum flexural stress in the shaft, in MPa.3. Calculate the maximum horizontal shear stress in the shaft, in MPa.ANSWERS: (1) 167.07 MPa; (2) 679.77 MPa; (3) 28.22 MPa
Chapter 9 Solutions
Engineering Mechanics: Statics
Ch. 9.1 - Determine the centroid (x,y) of the shaded area....Ch. 9.1 - Determine the centroid (x,y) of the shaded area....Ch. 9.1 - Determine the centroid of the shaded area. Prob....Ch. 9.1 - Locate the center of mass x of the straight rod if...Ch. 9.1 - Locate the centroid of the homogeneous solid...Ch. 9.1 - Locate the centroid z of the homogeneous solid...Ch. 9.1 - Locate the center of mass of the homogeneous rod...Ch. 9.1 - Prob. 2PCh. 9.1 - Prob. 3PCh. 9.1 - Prob. 4P
Ch. 9.1 - Prob. 5PCh. 9.1 - Locate the centroid of the area.Ch. 9.1 - Prob. 7PCh. 9.1 - Prob. 8PCh. 9.1 - Prob. 9PCh. 9.1 - Locate the centroid of the area. Prob. 9-17Ch. 9.1 - Locate the centroid x of the area. Probs. 9-11/12Ch. 9.1 - Locate the centroid of the area. Probs. 9-11/12Ch. 9.1 - Locate the centroid x of the area. Probs. 9-13/14Ch. 9.1 - Locate the centroid of the area. Probs. 9-13/14Ch. 9.1 - Prob. 15PCh. 9.1 - Prob. 16PCh. 9.1 - Prob. 17PCh. 9.1 - Locate the centroid x of the area. Probs. 9-18/19Ch. 9.1 - Locate the centroid of the area. Probs. 9-18/19Ch. 9.1 - Locate the centroid of the shaded area.Ch. 9.1 - Prob. 21PCh. 9.1 - Prob. 22PCh. 9.1 - Prob. 23PCh. 9.1 - Prob. 24PCh. 9.1 - Determine the location of its center of gravity....Ch. 9.1 - Prob. 26PCh. 9.1 - Prob. 27PCh. 9.1 - Prob. 28PCh. 9.1 - Prob. 29PCh. 9.1 - Prob. 30PCh. 9.1 - Prob. 31PCh. 9.1 - Locate the centroid x of the area. Probs. 9-32/33Ch. 9.1 - Locate the centroid of the area. Probs. 9-32/33Ch. 9.1 - Determine the location of its center of mass. Also...Ch. 9.1 - Prob. 35PCh. 9.1 - Prob. 36PCh. 9.1 - Prob. 37PCh. 9.1 - Prob. 38PCh. 9.1 - Locate the centroid of the paraboloid. Probs....Ch. 9.1 - The material is homogeneous. Prob. 9-39Ch. 9.1 - Prob. 41PCh. 9.1 - Determine the centroid of the solid. Prob. 9-42Ch. 9.1 - Locate the center of gravity z of the solid. Prob....Ch. 9.1 - Locate the centroid of the ellipsoid of...Ch. 9.1 - Prob. 45PCh. 9.1 - Determine its mass and the distance z to the...Ch. 9.1 - Locate the centroid of the quarter-cone. Prob....Ch. 9.1 - Locate the centroid z of the frustum of the...Ch. 9.1 - Prob. 49PCh. 9.1 - Suggestion: Use a triangular plate element...Ch. 9.2 - Locate the centroid (x,y,z) of the wire bent in...Ch. 9.2 - Locate the centroid of the beams cross-sectional...Ch. 9.2 - Locate the centroid of the beams cross-sectional...Ch. 9.2 - Locate the centroid (x,y) of the cross-sectional...Ch. 9.2 - Locate the center of mass (x,y,z) of the...Ch. 9.2 - Determine the center of mass (x,y,z) of the...Ch. 9.2 - If the mass of the gusset plates at the joints and...Ch. 9.2 - Prob. 52PCh. 9.2 - Prob. 53PCh. 9.2 - Neglect the thickness of the material and slight...Ch. 9.2 - Prob. 55PCh. 9.2 - Each plate has a constant width in the z direction...Ch. 9.2 - Prob. 57PCh. 9.2 - Neglect the size of the corner welds at A and B...Ch. 9.2 - Prob. 59PCh. 9.2 - Prob. 60PCh. 9.2 - Prob. 61PCh. 9.2 - Prob. 62PCh. 9.2 - Prob. 63PCh. 9.2 - Prob. 64PCh. 9.2 - Prob. 65PCh. 9.2 - Assume all corners are square and neglect the size...Ch. 9.2 - Prob. 67PCh. 9.2 - Prob. 68PCh. 9.2 - Prob. 69PCh. 9.2 - Prob. 70PCh. 9.2 - Neglect the size of the corner welds at A and B...Ch. 9.2 - Prob. 72PCh. 9.2 - If it is folded over as shown, determine the...Ch. 9.2 - Determine the location (x,y,z) of its centroid....Ch. 9.2 - It the cord is cut, the part will rotate about the...Ch. 9.2 - Prob. 76PCh. 9.2 - The location of the center of gravity of each...Ch. 9.2 - Prob. 78PCh. 9.2 - Prob. 79PCh. 9.2 - Prob. 80PCh. 9.2 - Prob. 81PCh. 9.2 - Determine the distance h to which a...Ch. 9.2 - Determine the distance z to the centroid of the...Ch. 9.2 - Prob. 84PCh. 9.2 - Prob. 85PCh. 9.2 - Prob. 86PCh. 9.2 - Determine the distance x to its center of gravity...Ch. 9.2 - Prob. 88PCh. 9.2 - The cylinder and the cone are made from materials...Ch. 9.3 - Determine the surface area and volume of the solid...Ch. 9.3 - Prob. 14FPCh. 9.3 - Determine the surface area and volume of the solid...Ch. 9.3 - Determine the surface area and volume of the solid...Ch. 9.3 - Prob. 90PCh. 9.3 - Determine the volume of the storage tank. Probs....Ch. 9.3 - Prob. 92PCh. 9.3 - Prob. 93PCh. 9.3 - Prob. 94PCh. 9.3 - Prob. 95PCh. 9.3 - Prob. 96PCh. 9.3 - Prob. 97PCh. 9.3 - Prob. 98PCh. 9.3 - Prob. 99PCh. 9.3 - Prob. 100PCh. 9.3 - Determine the surface area and the volume of the...Ch. 9.3 - Prob. 102PCh. 9.3 - Prob. 103PCh. 9.3 - Each gallon of paint can cover 250 ft2. Probs....Ch. 9.3 - Prob. 105PCh. 9.3 - Prob. 106PCh. 9.3 - Prob. 107PCh. 9.3 - Prob. 108PCh. 9.3 - Prob. 109PCh. 9.3 - Prob. 110PCh. 9.3 - Prob. 111PCh. 9.3 - Prob. 112PCh. 9.3 - Prob. 113PCh. 9.3 - Prob. 114PCh. 9.5 - Water has a density of = 1 Mg/m3. Prob. F9-17Ch. 9.5 - The specific weight of water is = 62.4 lb/ft3.Ch. 9.5 - Water has a density of = 1 Mg/m3. Prob. F9-19Ch. 9.5 - Water has a density of = 1 Mg/m3. Prob. F9-20Ch. 9.5 - The specific weight of water is = 62.4 lb/ft3....Ch. 9.5 - Prob. 115PCh. 9.5 - Prob. 116PCh. 9.5 - The load over the plate varies linearly along the...Ch. 9.5 - The load is defined by the expression p = p0 sin...Ch. 9.5 - Prob. 119PCh. 9.5 - Determine the resultant force the water exerts on...Ch. 9.5 - For the condition of high tide shown, determine...Ch. 9.5 - Prob. 122PCh. 9.5 - Prob. 123PCh. 9.5 - Determine the magnitude of the resultant...Ch. 9.5 - Prob. 125PCh. 9.5 - Prob. 126PCh. 9.5 - The tank is filled with a liquid that has a...Ch. 9.5 - Prob. 128PCh. 9.5 - Prob. 129PCh. 9.5 - Prob. 130PCh. 9.5 - Prob. 131RPCh. 9.5 - Determine the volume of material required to make...Ch. 9.5 - Prob. 133RPCh. 9.5 - Prob. 134RPCh. 9.5 - Determine the magnitude of the resultant...Ch. 9.5 - Prob. 136RPCh. 9.5 - Prob. 137RPCh. 9.5 - Locate the centroid of the rod. Prob. R9-4Ch. 9.5 - Determine the horizontal and vertical components...Ch. 9.5 - Prob. 140RP
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