Assume constant El. Either by Slope Deflection Method or by the Moment Distribution Method (max of 4 iterations/cycles only), solve for the reaction components at the supports of the rigid frame shown. PinkN PinkN

SOLVE STEP BY STEP The simple portico in the figure consists of a rigid lintel of length L supported by two cylindrical pillars of equal length and material. A triangular distributed load of maximum value q_0 is imposed on the lintel. Calculate the ratio between the cross sections of the columns so that buckling starts in both at the same time. Ignore the shortening of the pillars do 1 2

Solve the problem by the moment-area method. The beam has constant flexural rigidity EI. A simple beam AB supports two concentrated loads P at the positions shown in the figure. B C 4. 4 A support C at the midpoint of the beam is positioned at distance d below the beam before the loads are applied. Assuming that d = 12 mm, L = 5.4 m, E = 200 GPa, and I = 193 x 10° mm, calculate the magnitude of the loads P (in kN) so that the beam just touches the support at C. 163.87 x kN

For the simply supported beam subjected to the loading shown, derive equations for the shear force V and the bending moment M for any location in the beam. (Place the origin at point A.) Let a=1.50 m, b=5.00 m, PA = 75kN, and PC = 90kN. Construct the shear-force and bending-moment diagrams. Calculate the reaction forces By and Dy acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown on the free-body diagram below.