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=4.5a=4.5 ftft, b=6.5b=6.5 ftft, and c=10.0c=10.0 ftft. The applied forces are F1=1.40F1=1.40 kipkip and F2=2.00F2=2.00 kipkip. Force F1F1 is applied at an angle θ=60∘θ=60∘ with the horizontal. Neglect the weight of the beam.(Figure 1) 1. Determine the vertical reaction at A. 2. Determine the horizontal component of the pin reaction at C. 3. Determine the vertical component of the pin reaction at C.
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=4.5a=4.5 ftft, b=6.5b=6.5 ftft, and c=10.0c=10.0 ftft. The applied forces are F1=1.40F1=1.40 kipkip and F2=2.00F2=2.00 kipkip. Force F1F1 is applied at an angle θ=60∘θ=60∘ with the horizontal. Neglect the weight of the beam.(Figure 1) 1. Determine the vertical reaction at A. 2. Determine the horizontal component of the pin reaction at C. 3. Determine the vertical component of the pin reaction at C.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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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=4.5a=4.5 ftft, b=6.5b=6.5 ftft, and c=10.0c=10.0 ftft. The applied forces are F1=1.40F1=1.40 kipkip and F2=2.00F2=2.00 kipkip. Force F1F1 is applied at an angle θ=60∘θ=60∘ with the horizontal. Neglect the weight of the beam.(Figure 1)
1. Determine the vertical reaction at A.
2. Determine the horizontal component of the pin reaction at C.
3. Determine the vertical component of the pin reaction at C.
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