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Determine the reactions of the given beam using moment distribution method. w = 45 kN/m RA Numerical answer in 4 decimal places and positive values only: MA Rg= wwww Mg kN (Upward) kN-m (ccw) kN (Upward) 10m kN-m (cw) W B

Determine the reactions of the given beam using moment distribution method. w = 45 kN/m RA Numerical answer in 4 decimal places and positive values only: MA Rg= wwww Mg kN (Upward) kN-m (ccw) kN (Upward) 10m kN-m (cw) W B

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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Note: Please use the second picture as guide for the formulas. Thanks°

Determine the reactions of the given beam using moment distribution method. w = 45 kN/m RA= AMMO Numerical answer in 4 decimal places and positive values only: MA= Rg= MB= KN (Upward) kN-m (ccw) kN (Upward) 10m kN-m (cw) W
Transcribed Image Text:Determine the reactions of the given beam using moment distribution method. w = 45 kN/m RA= AMMO Numerical answer in 4 decimal places and positive values only: MA= Rg= MB= KN (Upward) kN-m (ccw) kN (Upward) 10m kN-m (cw) W
Sign convention - consider clockwise rotation is positive, counterclockwise is negative. MBA MAR Fixed End Moments (FEM) - moment at the wall or fixed joint MBA MAB Stiffness Factor - required moment M to rotate the end A of the beam 0₁ 1 rad. 4EI (absolute) K = far end fixed 3EI K=far end hinged M Carry-Over Moment - the moment induced at the fixed end of a beam by the action of the moment applied at the other end. 1 M' = M, far end fixed (relative) K=, E is constant L' 3EI M (relative) K = -, far end hinged 4L B M' = 0, far end hinged Distribution Factor, DF - the distribution factor at a joint of a member is the ratio of the bending stiffness of the member to the sum of bending stiffness of all the members connected to the joint. к DF=; ΣΚ Note: DF = 1, for hinge or roller support DF = 0, for fixed support
Transcribed Image Text:Sign convention - consider clockwise rotation is positive, counterclockwise is negative. MBA MAR Fixed End Moments (FEM) - moment at the wall or fixed joint MBA MAB Stiffness Factor - required moment M to rotate the end A of the beam 0₁ 1 rad. 4EI (absolute) K = far end fixed 3EI K=far end hinged M Carry-Over Moment - the moment induced at the fixed end of a beam by the action of the moment applied at the other end. 1 M' = M, far end fixed (relative) K=, E is constant L' 3EI M (relative) K = -, far end hinged 4L B M' = 0, far end hinged Distribution Factor, DF - the distribution factor at a joint of a member is the ratio of the bending stiffness of the member to the sum of bending stiffness of all the members connected to the joint. к DF=; ΣΚ Note: DF = 1, for hinge or roller support DF = 0, for fixed support
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