Engineering Mechanics: Statics & Dynamics (14th Edition)
14th Edition
ISBN: 9780133915426
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 9.2, Problem 51P
To determine
The distance d to where the hoisting cable must be attached.
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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 & Dynamics (14th Edition)
Ch. 9.1 - In each case, use the element shown and specify...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 - Locate the center of gravity x of the homogeneous...
Ch. 9.1 - Locate the center of gravity of the homogeneous...Ch. 9.1 - Prob. 5PCh. 9.1 - Locate the centroid of the area.Ch. 9.1 - Locate the centroid x of the parabolic area. Prob....Ch. 9.1 - Prob. 8PCh. 9.1 - Locate the centroid x of the shaded area. Probs....Ch. 9.1 - Locate the centroid of the shaded area. Probs....Ch. 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 - Prob. 18PCh. 9.1 - Prob. 19PCh. 9.1 - Prob. 20PCh. 9.1 - Locate the centroid x of the shaded area. Probs....Ch. 9.1 - Locate the centroid of the shaded area. Probs....Ch. 9.1 - Prob. 23PCh. 9.1 - Locate the centroid of the shaded area. Probs....Ch. 9.1 - Prob. 25PCh. 9.1 - Locate the centroid x of the shaded area. Probs....Ch. 9.1 - Locate the centroid of the shaded area. Probs....Ch. 9.1 - Prob. 28PCh. 9.1 - Prob. 29PCh. 9.1 - Locate the centroid x of the shaded area. Probs....Ch. 9.1 - Prob. 31PCh. 9.1 - Prob. 32PCh. 9.1 - Prob. 33PCh. 9.1 - The steel plate is 0.3 m thick and has a density...Ch. 9.1 - Prob. 35PCh. 9.1 - Prob. 36PCh. 9.1 - Prob. 37PCh. 9.1 - Determine the location r of the centroid C for the...Ch. 9.1 - Locate the center of gravity of the volume. The...Ch. 9.1 - Prob. 40PCh. 9.1 - Locate the centroid z of the frustum of the...Ch. 9.1 - Prob. 42PCh. 9.1 - Locate the centroid of the quarter-cone. Prob....Ch. 9.1 - Prob. 44PCh. 9.1 - Locate the centroid z of the volume. Prob. 9-45Ch. 9.1 - Prob. 46PCh. 9.1 - Prob. 47PCh. 9.1 - Prob. 48PCh. 9.1 - Prob. 49PCh. 9.1 - Prob. 50PCh. 9.2 - Locate the centroid (x,y,z) of the wire bent in...Ch. 9.2 - Prob. 8FPCh. 9.2 - Prob. 9FPCh. 9.2 - Prob. 10FPCh. 9.2 - Prob. 11FPCh. 9.2 - Prob. 12FPCh. 9.2 - Prob. 51PCh. 9.2 - Prob. 52PCh. 9.2 - Prob. 53PCh. 9.2 - Prob. 54PCh. 9.2 - Locate the centroid (x,y) of the metal cross...Ch. 9.2 - Prob. 56PCh. 9.2 - Prob. 57PCh. 9.2 - Determine the location of the centroidal axis xx...Ch. 9.2 - Locate the centroid (x,y) of the shaded area....Ch. 9.2 - Prob. 60PCh. 9.2 - Determine the location of the centroid C of the...Ch. 9.2 - Locate the centroid (x,y) of the shaded area....Ch. 9.2 - Determine the location of the centroid of the...Ch. 9.2 - Locate the centroid (x,y) of the shaded area....Ch. 9.2 - Determine the location (x,y) of the centroid C of...Ch. 9.2 - Determine the location of the centroid C for a...Ch. 9.2 - Locate the centroid of the cross-sectional area...Ch. 9.2 - A triangular plate made of homogeneous material...Ch. 9.2 - A triangular plate made of homogeneous material...Ch. 9.2 - Prob. 70PCh. 9.2 - Prob. 71PCh. 9.2 - Prob. 72PCh. 9.2 - Prob. 73PCh. 9.2 - Prob. 74PCh. 9.2 - Locate the center of mass (x,y,z) of the...Ch. 9.2 - The sheet metal part has the dimensions shown....Ch. 9.2 - Prob. 77PCh. 9.2 - The wooden table is made from a square board...Ch. 9.2 - Prob. 79PCh. 9.2 - Prob. 80PCh. 9.2 - Prob. 81PCh. 9.2 - Prob. 82PCh. 9.2 - Prob. 83PCh. 9.2 - Prob. 84PCh. 9.2 - Determine the distance z to the centroid of the...Ch. 9.2 - Prob. 86PCh. 9.2 - Prob. 87PCh. 9.2 - Prob. 88PCh. 9.2 - Prob. 89PCh. 9.3 - Prob. 13FPCh. 9.3 - Prob. 14FPCh. 9.3 - Prob. 15FPCh. 9.3 - Prob. 16FPCh. 9.3 - Prob. 90PCh. 9.3 - Prob. 91PCh. 9.3 - Prob. 92PCh. 9.3 - Prob. 93PCh. 9.3 - Prob. 94PCh. 9.3 - Prob. 95PCh. 9.3 - Prob. 96PCh. 9.3 - Determine the volume of concrete needed to...Ch. 9.3 - Determine the surface area of the curb. Do not...Ch. 9.3 - Prob. 99PCh. 9.3 - Prob. 100PCh. 9.3 - Prob. 101PCh. 9.3 - Prob. 102PCh. 9.3 - Prob. 103PCh. 9.3 - Prob. 104PCh. 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 - Determine the magnitude of the hydrostatic force...Ch. 9.5 - Determine the magnitude of the hydrostatic force...Ch. 9.5 - Prob. 19FPCh. 9.5 - Prob. 20FPCh. 9.5 - Prob. 21FPCh. 9.5 - The pressure loading on the plate varies uniformly...Ch. 9.5 - The load over the plate varies linearly along the...Ch. 9.5 - Prob. 117PCh. 9.5 - Prob. 118PCh. 9.5 - Prob. 119PCh. 9.5 - When the tide water A subsides, the tide gate...Ch. 9.5 - The tank is filled with water to a depth of d = 4...Ch. 9.5 - Prob. 122PCh. 9.5 - The factor of safety for tipping of the concrete...Ch. 9.5 - Prob. 124PCh. 9.5 - The tank is used to store a liquid having a...Ch. 9.5 - Prob. 126PCh. 9.5 - Prob. 127PCh. 9.5 - Prob. 128PCh. 9.5 - Determine the magnitude of the resultant force...Ch. 9.5 - The semicircular drainage pipe is filled with...Ch. 9.5 - Prob. 1RPCh. 9.5 - Prob. 2RPCh. 9.5 - Prob. 3RPCh. 9.5 - Prob. 4RPCh. 9.5 - Prob. 5RPCh. 9.5 - Prob. 6RPCh. 9.5 - Prob. 7RPCh. 9.5 - Prob. 8RPCh. 9.5 - The gate AB is 8 m wide. Determine the horizontal...Ch. 9.5 - Prob. 10RP
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