For the loading shown below, w = 0.37, P = 4.2, a = 6.2 and L = 24 (the figure has a lower-case L). Determine the maximum moment from the tables using superposition. Give your answer to one decimal place. /2

A cantilever beam is supported by a column at its end as shown in Figure (a) below. Figure (b) below shows the cross sectional view of the beam and the column. Per the applied moment at its end, 3 No. 10 bars are required at the top of the beam with an effective depth = 21 in. Given: for the beam, fe' = 3000 psi (light weight), and fy = 60,000 psi; for the column, fe=5000 psi (normal weight). All the bars are not epoxy-coated. (a) Per ACI 318-19's simplified equation, calculate the required development length in the beam for straight bars. Is the space in the beam adequate to develop straight bars? (b) Knowing that the No. 3 U-stirrups with a constant spacing of 10.5 inches are used as the shear reinforcement in the beam and the concrete clear cover thickness is 1.5 inches, use Sec 25.4.2.3 to recalculate the required development length of straight No. 11 bars. Is the space adequate to develop straight bars in the beam? If not, provide your recommendation on how to develop the bars in…

Q2 In the figure below, R is the resultant of the two forces F1 and F2. Determine the magnitude and direction of the force F2 F1 = 150 N Clox R = 280N 32

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