150 kN 120 kN 120 kN ww. 一 G B 6 m- -6 m- -4 m 21

Learning Goal: To determine the reaction forces at supports on a horizontal beam by using the equations of equilibrium for a static application. As shown, beam ABC is supported by the roller at A and pin at C. The geometry of the beam is given by a=2.0a=2.0 ftft, b=6.0b=6.0 ftft, and c=11.0c=11.0 ftft. The applied forces are F1=1.50F1=1.50 kipkip and F2=2.00F2=2.00 kipkip. Force F1F1 is applied at an angle θ=35∘θ=35∘ with the horizontal. Neglect the weight of the beam.   Determine the vertical reaction at A. Determine the horizontal component of the pin reaction at C. Determine the vertical component of the pin reaction at C.

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.

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