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engineering
civil engineering
Engineering Mechanics Statics 12th Edition R. C. Hibbeler - Solutions
Determine the moment of inertia of the area about the xaxis.
Determine the moment of inertia of the area about the yaxis.
Determine the moment of inertia of the area about the xaxis.
Determine the moment of inertia of the area about the yaxis.
Determine the moment of inertia of the area about the xaxis.
Determine the moment of inertia of the area about the yaxis.
Determine the moment of inertia of the area about the xaxis.
Determine the moment of inertia of the area about the yaxis.
Determine the polar moment of inertia of the area about the z axis passing through pointO.
Determine the moment of inertia of the area about the xaxis.
Determine the moment of inertia of the area about the yaxis.
Determine the moment of inertia of the area about the xaxis.
Determine the moment of inertia of the area about the yaxis.
Determine the moment of inertia of the area about the x axis. Solve the problem in two ways, using rectangular differential elements:(a) Having a thickness of dx, and(b) Having a thickness ofdy.
Determine the moment of inertia of the area about the y axis. Solve the problem in two ways, using rectangular differential elements:(a) Having a thickness of dx, and(b) Having a thickness ofdy.
Determine the moment of inertia of the triangular area about the xaxis.
Determine the moment of inertia of the triangular area about the yaxis.
Determine the moment of inertia of the area about the xaxis.
Determine the moment of inertia of the area about the yaxis.
Determine the moment of inertia of the area about the xaxis.
Determine the moment of inertia of the area about the yaxis.
Determine the moment of inertia of the area about the xaxis.
Determine the moment of inertia of the area about the yaxis.
Determine the moment of inertia of the area about the xaxis.
Determine the moment of inertia of the area about the yaxis.
Determine the distance y to the centroid of the beam?s cross-sectional area; then find the moment of inertia about the x axis.
Determine the moment of inertia of the beam?s cross-sectional area about the x axis.
Determine the moment of inertia of the beam?s cross-sectional area about the y axis.
Determine the moment of inertia of the beam?s cross-sectional area about the x axis.
Determine the moment of inertia of the beam?s cross-sectional area about the y axis.
Determine the moment of inertia of the composite area about the xaxis.
Determine the moment of inertia of the composite area about the yaxis.
Determine the distance y to the centroid of the beam?s cross-sectional area; then determine the moment of inertia about the x axis.
Determine the moment of inertia of the beam?s cross-sectional area about the y axis.
Locate the centroid y of the composite area, then determine the moment of inertia of this area about the centroidal x'axis.
Determine the moment of inertia of the composite area about the centroidal yaxis.
Determine the distance y to the centroid of the beam?s cross-sectional area; then find the moment of inertia about the x-axis.
Determine the moment of inertia of the beam?s cross-sectional area about the x axis.
Determine the moment of inertia of the beam?s cross-sectional area about the y axis.
Determine the moment of inertia of the beam?s cross-sectional area about the x axis.
Determine the moment of inertia of the beam?s cross-sectional area about the y axis.
Locate the centroid y of the cross-sectional area for the angle. Then find the moment of inertia Ix? about the x? centroidal axis.
Locate the centroid y of the cross-sectional area for the angle. Then find the moment of inertia Iy? about the y centroidal axis.
Determine the moment of inertia of the composite area about the xaxis.
Determine the moment of inertia of the composite area about the yaxis.
Determine the moment of inertia of the composite area about the centroidal yaxis.
Locate the centroid y of the composite area, then determine the moment of inertia of this area about the x;axis.
Determine the moment of inertia Ix' of the section. The origin of coordinates is at the centroidC.
Determine the moment of inertia Iy' of the section. The origin of coordinates is at the centroidC.
Determine the beam?s moment of inertia Ix' about the centroidal x axis.
Determine the beam?s moment of inertia Iy about the centroidal y axis.
Locate the centroid y of the channel?s cross-sectional area, then determine the moment of inertia of the area about the centroidal x' axis.
Determine the moment of inertia of the area of the channel about the yaxis.
Determine the moment of inertia of the cross-sectional area about the xaxis.
Locate the centroid x of the beam?s crosssectional area, and then determine the moment of inertia of the area about the centroidal y; axis.
Determine the moment of inertia of the beam?s cross-sectional area about the x axis.
Determine the moment of inertia of the beam?s cross-sectional area about the y axis.
Determine the moment of inertia of the beam?s cross-sectional area with respect to the x' axis passing through the centroid C of the cross section. y = 104.3 mm.
Determine the product of inertia Ixy of the right half of the parabolic area in Prob. 10?60, bounded by the lines y = 2 in. and x = 0.
Determine the product of inertia of the quarter elliptical area with respect to the x and yaxes.
Determine the product of inertia for the area with respect to the x and yaxes.
Determine the product of inertia of the area with respect to the x and yaxes.
Determine the product of inertia of the area with respect to the x and yaxes.
Determine the product of inertia for the area with respect to the x and yaxes.
Determine the product of inertia for the area with respect to the x and yaxes.
Determine the product of inertia for the area of the ellipse with respect to the x and yaxes.
Determine the product of inertia for the parabolic area with respect to the x and yaxes.
Determine the product of inertia of the composite area with respect to the x and yaxes.
Determine the product of inertia of the cross-sectional area with respect to the x and y axes that have their origin located at the centroidC.
Determine the product of inertia for the beam?s cross-sectional area with respect to the x and y axes that have their origin located at the centroid C.
Determine the product of inertia of the beam?s cross-sectional area with respect to the x and y axes.
Locate the centroid of the beam?s cross-sectional area and then determine the moments of inertia and the product of inertia of this area with respect to the u and v axes. The axes have their origin at the centroid C.
Locate the centroid (x, y) of the beam?s cross-sectional area, and then determine the product of inertia of this area with respect to the centroidal x? and y? axes.
Determine the product of inertia of the beam?s cross-sectional area with respect to the centroidal x and y axes.
Determine the moments of inertia and the product of inertia of the beam?s cross-sectional area with respect to the u and v axes.
Locate the centroid of the beam?s cross-sectional area and then determine the moments of inertia and the product of inertia of this area with respect to the u and v axes.
Locate the Centroid and of the cross-sectional area and then determine the orientation of the principal axes, which have their origin at the Centroid C of the area. Also, find the principal moments ofinertia.
Determine the orientation of the principal axes, which have their origin at centroid C of the beam?s cross-sectional area. Also, find the principal moments of inertia.
Locate the centroid of the beam?s cross-sectional area and then determine the moments of inertia of this area and the product of inertia with respect to the and axes. The axes have their origin at the centroid C.
Solve Prob. 10–75 using Mohr’s circle.
Solve Prob. 10–78 using Mohr’s circle.
Solve Prob. 10–79 using Mohr’s circle.
Solve Prob. 10–80 using Mohr’s circle.
Solve Prob. 10–81 using Mohr’s circle.
Solve Prob. 10–82 using Mohr’s circle.
Determine the mass moment of inertia Iz of the cone formed by revolving the shaded area around the axis. The density of the material is ?. Express the result in terms of the mass m of the cone.
Determine the mass moment of inertia Ix of the right circular cone and express the result in terms of the total mass m of the cone. The cone has a constant density ?.
Determine the mass moment of inertia Iy of the slender rod. The rod is made of material having a variable density ? = ?0(1 + x/l), where ?0?is constant. The cross-sectional area of the rod is A. Express the result in terms of the mass m of the rod.
Determine the mass moment of inertia Iy of the solid formed by revolving the shaded area around the y axis. The density of the material is ?. Express the result in terms of the mass m of the solid.
The paraboloid is formed by revolving the shaded area around the x axis. Determine the radius of gyration kx. The density of the material is ? = 5 Mg/m3.
Determine the mass moment of inertia Iy of the solid formed by revolving the shaded area around the axis. The density of the material is ?. Express the result in terms of the mass m of the semi-ellipsoid.
The frustum is formed by rotating the shaded area around the x axis. Determine the moment of inertia Ix and express the result in terms of the total mass m of the frustum. The material has a constant density ?.
Determine the mass moment of inertia Iz of the solid formed by revolving the shaded area around the z axis. The density of the material is ? = 7.85 Mg/m3.
Determine the mass moment of inertia Iz of the solid formed by revolving the shaded area around the axis. The solid is made of a homogeneous material that weighs 400lb.
Determine the mass moment of inertia Iy of the solid formed by revolving the shaded area around the axis. The total mass of the solid is 1500kg.
Determine the mass moment of inertia of the pendulum about an axis perpendicular to the page and passing through point O. The slender rod has a mass of 10 kg and the sphere has a mass of 15kg.
The pendulum consists of a disk having a mass of 6 kg and slender rods AB and DC which have a mass per unit length of 2 kg/m. Determine the length L of DC so that the center of mass is at the bearing O. What is the moment of inertia of the assembly about an axis perpendicular to the page and
Determine the mass moment of inertia of the 2-kg bent rod about the zaxis.
The thin plate has a mass per unit area of 10 kg/m2. Determine its mass moment of inertia about the y axis.
The thin plate has a mass per unit area of 10 kg/m2. Determine its mass moment of inertia about the zaxis.
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