Question

NAME HW 4 EQUILIBRIUM (Chapter 6) A 25 ft long overhang (cantilever) beam has a support of the left end (reaction RI) and a support 5 ft from the right end (reaction R2). There is a 5 kip point load midway between R1 and R2, and a 3 kip point load at the end of the overhang on the right side. 1) Clearly and neatly draw the free-body diagram, including all dimensions and all forces, all with correct units. (4 pts) 2) Select and clearly show the point of rotation about which you ve selected to calculate moments. (Optional hint choose R1 or R2 as this point.) (1 pt) 3) Using the equilibrium equations, calculate reactions R1 and RZ. You must state the equation(s) you are using clearly show the math in deriving your answer, and use the correct unit of force in your answer. (Optional hint: start with the equilibrium equation for the sum of moments.) (5 pts) You must use this sheet, front and back of necessary). As always, your neatness, professionalism, and ability to follow instructions will be a part of your grade

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Answer 1

solution: - Given F = Skip F2 = 3 kip h2oft- SH Total length (2) = 20 ft. ha = stt no h = L-L2 - ist. Fi = Skip (midro way between R, and Ra F2 = 3 Kip (Loet at Right end) Taking moment about Ri wita R2 x 20 - 3425 - SX10 =0 20 R2 - 75 - 50 =0 20R₂ = 125 R2 = 125 = 6.25 kip on 20 also R + R₂ = Ft Ez Ri= 5+3 -6.25 kip o = 1.75 kip g