*2-20. Determine the reactions on the b SOLUTION Equations of Equilibrium. Referring to the FBD of the beam shown in Fig. a, N can be obtained directly by writing the moment equation of equilibrium about point B. (+ΣΜΒ = 0; 10(8.667) + B(6.50)+25(4.333) N₁(13) = 0 NA = 21.5 k + → ΣΕ = 0; Using this result to write the force equation of equilibrium along the x and y axis, B 10.19 k = 10.2 k Bx + 21.5(5) (10+13 +25) 13 13 12 15 Nlb84e (ΣΕ, = 0; By + 21.5 By = 24.46 k = 24.5 k Open with Google Docs 10k 13 12 5(13) - (10 +13 +25)( (1)(B)k=13k 2.167ft 4.333ft (a) 5(³/3) - 13, 12 (13) = 0 Bx = 0 12k+(2) (13) K-25 k. 5 ft B₂ Page 20 / 46 A 1 k/ft Ans. Ans. Ans. 4 ft + 10 k 4 ft 12 k 4 ft 3 k/ft
*2-20. Determine the reactions on the b SOLUTION Equations of Equilibrium. Referring to the FBD of the beam shown in Fig. a, N can be obtained directly by writing the moment equation of equilibrium about point B. (+ΣΜΒ = 0; 10(8.667) + B(6.50)+25(4.333) N₁(13) = 0 NA = 21.5 k + → ΣΕ = 0; Using this result to write the force equation of equilibrium along the x and y axis, B 10.19 k = 10.2 k Bx + 21.5(5) (10+13 +25) 13 13 12 15 Nlb84e (ΣΕ, = 0; By + 21.5 By = 24.46 k = 24.5 k Open with Google Docs 10k 13 12 5(13) - (10 +13 +25)( (1)(B)k=13k 2.167ft 4.333ft (a) 5(³/3) - 13, 12 (13) = 0 Bx = 0 12k+(2) (13) K-25 k. 5 ft B₂ Page 20 / 46 A 1 k/ft Ans. Ans. Ans. 4 ft + 10 k 4 ft 12 k 4 ft 3 k/ft
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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In the moment equations for B, I was wondering why they were not using cosine and sine fractions (ex. x=5/13 and y=12/13). Why is it not 10(12/13)(8.667)+B(6.50)+25(12/13)(4.333)-Na(12/13)(13) as the moment equation?
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