Chapter 12.3, Problem 50P

The cantilevered beam has a rectangular cross-sectional area A, a moment of inertia I, and a modulus of elasticity E. If a load P acts at point B as shown, determine the displacement at B in the direction of P, accounting for bending, axial force, and shear.

Determine the rotation (slope) and displacement at point B of the frame. Bending stiffness (EI) is constant

Determine the equations of the elastic curve using the coordinates x1 and x2. What is the slope at C and displacement at B? EI is constant.

The moment acting on the cross section of the beam is M= 3.5 kip⋅ft. Determine the maximum bending stress in the beam.

Determine the bending moment M in the beam at the point located 0.44 m to the right of point B. The ground reactions and shear-force diagram are shown.

The cantilevered beam is subjected to a couple of moment M0 applied at its end. Determine the slope of the beam at B. EI is constant. Use the method of virtual work.

Determine the maximum allowable intensity w of the uniform distributed load that can be applied to the beam. Assume w passes through the centroid of the beam’s cross-sectional area, and the beam is simply supported at A and B. The allowable bending stress is sallow = 165 MPa.

Determine the internal normal force and shear force, and the bending moment in the beam at points C and D. Assume the support at B is a roller. Point C is located just to the right of the 8-kip load.

The wide-flange member is made from an elastic perfectly plastic material. Determine the shape factor for the beam.