Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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Please answer in complete solution and draw an fbd.
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
1
M' = M, far end fixed
(relative) K = =, E is constant
L'
3EI
M
(relative) K =
Carry-Over Moment - the moment induced at the fixed end of a beam by the action of the moment
applied at the other end.
4L
-, far end hinged
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 1 M' = M, far end fixed (relative) K = =, E is constant L' 3EI M (relative) K = Carry-Over Moment - the moment induced at the fixed end of a beam by the action of the moment applied at the other end. 4L -, far end hinged 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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