Find the maximum live load can be applied to the beam shown in the figure (3-1). Use 3425 for positive moment 4616 for negative moment. Where fe' = 33 Mpa, f, = 414 Mpa. WLL 430

1. A 200mm x 300mm beam has a simple span of 8 meters. It is necessary to place a support at midspan because of the excessive deflection at the center in order to limit the deflection to 12mm and such that the moment at that point is zero. E = 13,800 MPa. a. Determine the load carried by the beam. Express your answer in N/m. b. Compute for the reaction at the support at midspan so that the beam will not deflect at its midpan. c. Find the bending stress of the beam so that it will not deflect at its midspan. W- N/m 4m Pz 200 mm RI 300mm

For the beam shown below, let wo = 16 N/m, W₁ dimensions are in m. 0 1 Wo ↓ = 10 N/m, and M = 16 N/m. All W₁ min 1 1 2 3 4 5 7 Figure 2 Loaded Cantilever Beam L 6 1 8 a. Find the reactions at A. b. Find the loading function q(x) using singularity functions. c. Find the shear and moment functions V(x) and M(x). M 9 m d. Determine and plot the shear diagram for the given loading conditions. e. Determine and plot the moment diagram.

Consider the beam shown in (Figure 1). EIEI is constant. Assume 2 and 3 are rollers. Take F = 38 kN.