For the beam and loading shown, (a) draw the shear and bending-moment diagrams, (b) determine the equations of the shear and bending-moment curves
Ch. 14.7 Moments and Centers of Gravity 1. The moment about a plane is described by the triple integral of the product of the excluded variable and the density function. a. 2. The center of mass in a direction equals the moment divided by the total mass a. 3. Symmetry can be used say some of the components are 0 Ch. 14.8 Change of Variables in Multiple Integrals 1. To change from one set of variables to another the integral becomes the integral of the function of the new variables multiplied by the jacobian. a. b.