Before the uniform distributed load is applied on the beam, there is a small gap of 0.2

Determine the reactions at the fixed support A and the roller B. EI is constant.

Determine the reactions at the fixed support A and the roller B. EI is constant.

Determine the reactions at the fixed support A and the roller B. Support B settles 2 mm. E = 200 GPa, \(I=65.0\left(10^{-6}\right) \mathrm{m}^{4}\).

Determine the reaction at the roller B. EI is constant.

Determine the reaction at the roller B. EI is constant.

Determine the reaction at the roller support B if it settles 5 mm. E = 200 GPa and \(I=65.0\left(10^{-6}\right) \mathrm{m}^{4}\).

Determine the reactions at the bearing supports A, B, and C of the shaft, then draw the shear and moment diagrams. EI is constant. Each bearing exerts only vertical reactions on the shaft.

Determine the reactions at the supports A and B. EI is constant.

Determine the reactions at the supports A, B, and C, then draw the shear and moment diagrams. EI is constant.

The assembly consists of a steel and an aluminum bar, each of which is 1 in. thick, fixed at its ends A and B, and pin connected to the rigid short link CD. If a horizontal force of 80 lb is applied to the link as shown, determine the moments created at A and B. \(E_{\mathrm{st}}=29\left(10^{3}\right)\) ksi, \(E_{\mathrm{al}}=10\left(10^{3}\right)\) ksi.

Determine the reactions at the supports A, B, and C, then draw the shear and moment diagrams. EI is constant.

Determine the reactions at the supports A and B. EI is constant.

Determine the reactions at support C. EI is constant for both beams.

The compound beam segments meet in the center using a smooth contact (roller). Determine the reactions at the fixed supports A and B when the load P is applied. EI is constant.

The beam has a constant \(E_{1} I_{1}\) and is supported by the fixed wall at B and the rod AC. If the rod has a cross-sectional area \(A_{2}\) and the material has a modulus of elasticity \(E_{2}\), determine the force in the rod.

Determine the reactions at A and B. Assume the support at A only exerts a moment on the beam. EI is constant.

The beam is supported by the bolted supports at its ends. When loaded these supports do not provide an actual fixed connection, but instead allow a slight rotation \(\alpha\) before becoming fixed. Determine the moment at the connections and the maximum deflection of the beam.

The beam is supported by a pin at A, a spring having a stiffness k at B, and a roller at C. Determine the force the spring exerts on the beam. EI is constant.

The beam is made from a soft linear elastic material having a constant EI. If it is originally a distance \(\Delta\) from the surface of its end support, determine the distance a at which it rests on this support when it is subjected to the uniform load \(w_{0}\), which is great enough to cause this to happen.

Before the uniform distributed load is applied on the beam, there is a small gap of 0.2 mm between the beam and the post at B. Determine the support reactions at A, B, and C. The post at B has a diameter of 40 mm, and the moment of inertia of the beam is \(I=875\left(10^{6}\right) \mathrm{mm}^{4}\). The post and the beam are made of material having a modulus of elasticity of E = 200 GPa.

The 1-in.-diameter A-36 steel shaft is supported by unyielding bearings at A and C. The bearing at B rests on a simply supported steel wide-flange beam having a moment of inertia of \(I=500 \mathrm{\ in}^{4}\). If the belt loads on the pulley are 400 lb each, determine the vertical reactions at A, B, and C.

If the temperature of the 75-mm-diameter post CD is increased by \(60^{\circ} \mathrm{C}\), determine the force developed in the post.The post and the beam are made of A-36 steel, and the moment of inertia of the beam is \(I=255\left(10^{6}\right) \mathrm{mm}^{4}\).