Please answer the ff in complete solution and draw an fbd use moment distribution method only. Sign convention-consider clockwise rotation is positive, counterclockwise is negative.MARMBAFixed End Moments (FEM) - moment at the wall or fixed jointMBAMABStiffness Factor - required moment M to rotate the end A of the beam 0₁ = 1 rad.4EI(absolute) K=far end fixed3EIK=far end hingedM1M' = M, far end fixed(relative) K ==, E is constantL'3EIM(relative) K =Carry-Over Moment - the moment induced at the fixed end of a beam by the action of the momentapplied at the other end.4L-, far end hingedBM' = 0, far end hingedDistribution Factor, DF - the distribution factor at a joint of a member is the ratio of the bendingstiffness of the member to the sum of bending stiffness of all the members connected to the joint.кDF=;ΣΚNote: DF = 1, for hinge or roller supportDF = 0, for fixed support Determine the reactions of the given beamusing moment distribution method. w = 20kN/mRANumerical answer in 4 decimal places andpositive values only:=MARB=_||MB10m=kN (Upward)kN-m (ccw)kN (Upward)WkN-m (cw)

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Determine the reactions of the given beam using moment distribution method. w = 20 kN/m A RA 10m Numerical answer in 4 decimal places and positive values only: || W kN (Upward) B

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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Question

Please answer the ff in complete solution and draw an fbd use moment distribution method only.

Sign convention-consider clockwise rotation is positive, counterclockwise is negative.
MAR
MBA
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

Determine the reactions of the given beam
using moment distribution method. w = 20
kN/m
RA
Numerical answer in 4 decimal places and
positive values only:
=
MA
RB
=
_||
MB
10m
=
kN (Upward)
kN-m (ccw)
kN (Upward)
W
kN-m (cw)

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