INTERNATIONAL EDITION---Engineering Mechanics: Statics, 14th edition (SI unit)
14th Edition
ISBN: 9780133918922
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 9.1, Problem 29P
Locate the centroid ȳ of the shaded area.
Probs. 9-28/29
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CORRECT ANSWER ONLY WITH COMPLETE FBD. PREFERABLY HANDWRITTEN. I WILL UPVOTE
1. The beam shown carries the following loads:Total dead load, wDL = 36 kN/mConcentrated live load, PLL = 240 kNThe beam section is HSS16X12X3/8 with properties:Span, L = 6 mArea, A = 12,100 mm2Moment of inertia about x-axis, Ix = 292 x 106 mm4Fy = 345 MPa
1. Calculate the location of the live load, from the left support, for maximum moment to occur at the fixed support.Answer: 2.536 m2. Calculate the maximum moment. Answer: 439.128 kN-m
CORRECT ANSWER AND COMPLETE FBD ONLY. I PREFER HANDWRITTEN BUT ITS OKAY IF NOT. I WILL UPVOTE
2. The space truss shown is supported by ball-and-socket joints at A, B and C. Factored loads P1 and P2 areacting on joints D and E, respectively, towards the negative y-direction.
1. Calculate the stress of member CE, indicate tension or compression. Answer: 23.61 MPa Tension2. Calculate the stress of member AD, indicate tension or compression. Answer: 21.01 MPa Compression3. Calculate the stress of member CD, indicate tension or compression. Answer: 11.03 MPa Tension
CORRECT ANSWER AND COMPLETE FBD ONLY. I PREFER HANDWRITTEN BUT ITS OKAY IF NOT. I WILL UPVOTE
3. The frame has pin supports at A and E, subject to a wind load. Treat joint C to be an internal hinge.
Given:Dimensions, H1 = 3.0 m; H2 = 4.5 m; L = 10.0 mWind loads, wWL (AB) = 4.8 kN/m; wWL (BC) = 3.9 kN/m; wWL (CD) = 1.5 kN/m; wWL (DE) = 1.2 kN/mMembers are made of A36 steel Wide Flange Section with the following properties:Area, A = 64000 mm2Depth, d = 762 mmFlange width, bf = 371 mmThickness of web, tw = 32 mmThickness of flange, tf = 57.9 mmMoment of inertia about x-axis, Ix = 6080 x 106 mm4The wide flange is oriented so that the bending is about the x-axis1. Calculate the stress in member AB, due to the axial load it carries, indicate if tension or compression.Answer: 0.0476 MPa Tension2. Calculate the stress in member DE, due to the axial load it carries, indicate if tension or compression.Answer: 0.2351 MPa Compression3. Calculate the maximum bending stress at B. Answer: 4.282 MPa
Chapter 9 Solutions
INTERNATIONAL EDITION---Engineering Mechanics: Statics, 14th edition (SI unit)
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 - Determine the location (x,y) of the centroid of...Ch. 9.1 - If the rod has a weight per unit length of 100...
Ch. 9.1 - Locate the center of gravity of the homogeneous...Ch. 9.1 - Determine the distance to the center of gravity...Ch. 9.1 - Locate the centroid of the area.Ch. 9.1 - Locate the centroid x of the parabolic area. Prob....Ch. 9.1 - Locate the centroid of the shaded area. Prob. 9-8Ch. 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 - Solve the problem by evaluating the integrals...Ch. 9.1 - Solve the problem by evaluating the integrals...Ch. 9.1 - Locate the centroid of the area. Prob. 9-17Ch. 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 - 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 shaded area. Probs....Ch. 9.1 - Locate the centroid of the shaded area. Probs....Ch. 9.1 - Determine the location of its center of gravity....Ch. 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 shaded area. Probs....Ch. 9.1 - Locate the centroid of the shaded area. Probs....Ch. 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. 9-32/33Ch. 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 - 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 circular sector.Ch. 9.1 - Determine the location r of the centroid C for the...Ch. 9.1 - The material is homogeneous. Prob. 9-39Ch. 9.1 - Locate the centroid of the paraboloid. Probs....Ch. 9.1 - Locate the centroid z of the frustum of the...Ch. 9.1 - Determine the centroid of the solid. Prob. 9-42Ch. 9.1 - Locate the centroid of the quarter-cone. Prob....Ch. 9.1 - Determine its mass and the distance z to the...Ch. 9.1 - Locate the centroid z of the volume. Prob. 9-45Ch. 9.1 - Locate the centroid of the ellipsoid of...Ch. 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 - Locate the centroid z of the spherical segment....Ch. 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 - Determine the location (x,y,z) of the centroid of...Ch. 9.2 - Determine the location (x,y) of the centroid of...Ch. 9.2 - Neglect the thickness of the material and slight...Ch. 9.2 - Neglect the thickness of the material and slight...Ch. 9.2 - Each plate has a constant width in the z direction...Ch. 9.2 - Neglect the thickness of each segment. The mass...Ch. 9.2 - Neglect the size of the corner welds at A and B...Ch. 9.2 - Prob. 59PCh. 9.2 - Locate the centroid for the beams cross-sectional...Ch. 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 - Neglect the size of the corner welds at A and B...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 - The beam is symmetric with respect to the y axis....Ch. 9.2 - Assume all corners are square and neglect the size...Ch. 9.2 - Prob. 68PCh. 9.2 - If it is folded over as shown, determine the...Ch. 9.2 - Locate the center of mass z of the forked level...Ch. 9.2 - Prob. 71PCh. 9.2 - Prob. 72PCh. 9.2 - Prob. 73PCh. 9.2 - The location of the center of gravity of each...Ch. 9.2 - Locate the center of mass (x,y,z) of 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. 78PCh. 9.2 - Prob. 79PCh. 9.2 - Prob. 80PCh. 9.2 - The assembly is made from a steel hemisphere. st =...Ch. 9.2 - The assembly is made from a steel hemisphere, st =...Ch. 9.2 - Prob. 83PCh. 9.2 - Determine the distance h to which a...Ch. 9.2 - Determine the distance z to the centroid of the...Ch. 9.2 - The cylinder and the cone are made from materials...Ch. 9.2 - Major floor loadings in a shop are caused by the...Ch. 9.2 - Determine the distance x to its center of gravity...Ch. 9.2 - Determine the mass and location (x,y,z) of its...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 - Prob. 91PCh. 9.3 - Determine the volume of the storage tank. Probs....Ch. 9.3 - Prob. 93PCh. 9.3 - Determine the total weight of the wall if the...Ch. 9.3 - Determine its volume.Ch. 9.3 - Prob. 96PCh. 9.3 - Determine the volume of concrete needed to...Ch. 9.3 - Do not include the area of the ends in the...Ch. 9.3 - Prob. 99PCh. 9.3 - Prob. 100PCh. 9.3 - Prob. 101PCh. 9.3 - Each gallon of paint can cover 250 ft2. Probs....Ch. 9.3 - Determine the surface area and the volume of the...Ch. 9.3 - Prob. 104PCh. 9.3 - Determine how many joules (J) are radiated within...Ch. 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 - Determine the magnitude of the resultant force and...Ch. 9.5 - Determine the magnitude of the resultant force and...Ch. 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 - If this pressure loading acts uniformly along the...Ch. 9.5 - For the condition of high tide shown, determine...Ch. 9.5 - Determine the resultant force the water exerts on...Ch. 9.5 - If the density of concrete is c = 2.5 Mg/m3, and...Ch. 9.5 - Determine this factor if the concrete has a...Ch. 9.5 - Determine the magnitude of the resultant...Ch. 9.5 - If it is filled to the top, determine the...Ch. 9.5 - Prob. 126PCh. 9.5 - Determine the reactions at these supports due to...Ch. 9.5 - The tank is filled with a liquid that has a...Ch. 9.5 - The gate has a width of 1.5 m. w = 1.0 Mg/m3....Ch. 9.5 - Prob. 130PCh. 9.5 - Locate the centroid x of the area.Ch. 9.5 - Locate the centroid of the area.Ch. 9.5 - Prob. 3RPCh. 9.5 - Locate the centroid of the rod. Prob. R9-4Ch. 9.5 - Prob. 5RPCh. 9.5 - Prob. 6RPCh. 9.5 - Determine the volume of material required to make...Ch. 9.5 - Prob. 8RPCh. 9.5 - Determine the horizontal and vertical components...Ch. 9.5 - Determine the magnitude of the resultant...
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