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Solve for Reactant A and B In the following figure-

Solve for Reactant A and B In the following figure-

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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HW Prob 10: Solve for Reactant A and B in the following figure (see example 8): Given: Beam at right with a uniform load and a point load as shown. F1 1006# @ slope 1H:2V F3 = 1000 F2 = UL of 40#ILF for 60 ft Note: Reaction B is pinned. Reaction A is a Roller connection RA Re RA RB 70ft 20ft FBD of Moments around Rb Step 1: Draw the forces (and their distance from Rb) that create a moment around Rb in the FBD above Step 2: To Solve for RAy, sum moments about RB: CW Moment= CCW Moment CW Moment (+) CCW Moment (-) Dist. Force Mag Dist Moment Mag Moment %3D Force Sum CWM: Sum CCWM: RA RB FBD of Moments around Ra Step 3: Draw the forces (and their distances from Ra) that create a moment around Ra in the FBD Step 4: To Solve for RBy, sum moments about RA: CW Moment = CCW Moment CW Moment (+) Mag CCW Moment -) Moment Dist. Moment Force Mag Dist. %3D Force Sum CWM: Sum CCWM: To Check your answer, Sum Forces in Y direction = 0 IS THERE ANX FORCE AT THE PINNED CONNECTION? If yes, to the left or right? If Yes, combine the x and y forces at the pinned connection to determine the reaction at the pinned connection and use trigonometry to determine the direction of the reaction: Ans: Ray = -157, Rby 2657, RBx 450, RB = 2695# @ 80 degrees %3D
Transcribed Image Text:HW Prob 10: Solve for Reactant A and B in the following figure (see example 8): Given: Beam at right with a uniform load and a point load as shown. F1 1006# @ slope 1H:2V F3 = 1000 F2 = UL of 40#ILF for 60 ft Note: Reaction B is pinned. Reaction A is a Roller connection RA Re RA RB 70ft 20ft FBD of Moments around Rb Step 1: Draw the forces (and their distance from Rb) that create a moment around Rb in the FBD above Step 2: To Solve for RAy, sum moments about RB: CW Moment= CCW Moment CW Moment (+) CCW Moment (-) Dist. Force Mag Dist Moment Mag Moment %3D Force Sum CWM: Sum CCWM: RA RB FBD of Moments around Ra Step 3: Draw the forces (and their distances from Ra) that create a moment around Ra in the FBD Step 4: To Solve for RBy, sum moments about RA: CW Moment = CCW Moment CW Moment (+) Mag CCW Moment -) Moment Dist. Moment Force Mag Dist. %3D Force Sum CWM: Sum CCWM: To Check your answer, Sum Forces in Y direction = 0 IS THERE ANX FORCE AT THE PINNED CONNECTION? If yes, to the left or right? If Yes, combine the x and y forces at the pinned connection to determine the reaction at the pinned connection and use trigonometry to determine the direction of the reaction: Ans: Ray = -157, Rby 2657, RBx 450, RB = 2695# @ 80 degrees %3D
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