Problems Moment Distribution Continuous Beams

A series of continuous beams are indicated in Problems 4.28 to 4.32 in which the relative EI values and the applied loading are given. In each case:

i) determine the support reactions, ii) sketch the shear force diagram and iii) sketch the bending moment diagram.

Problem 4.28

Problem 4.29

Moment Distribution Continuous Beams

Problem 4.30

Problem 4.31

Problem 4.32

4.7.12 Solutions: Moment Distribution—Continuous Beams

Structural Analysis ProblemsTwo Span Continuous Beam AnalysisStructural Analysis ProblemsMoment Distribution Examples For BeamsFlorida Beam Structural AnalysisContinuous Beam ProblemMoment Distribution BeamsContinuous Beam Shear ValuesMoment Diagram For Continuous BeamTwo Span Continuous Beam AnalysisFlorida Beam Structural AnalysisContinuous Beam Shear ValuesContinuous Beam Moment DiagramsFlorida Beam Structural AnalysisFlorida Beam Structural AnalysisFlorida Beam Structural AnalysisMoment Diagram For Continuous Beam

Solution

Lirpir: Moment Dislrilfuliuit - Cunlinuous lk-;tins

PI^IIItki No whir; iJI Putt Sc. J

(i) Filed vertical rcaclions:

Consider span AC: = 0

- 13,9 + M.6 - (J,0 x P« hkj) = 0 ffA ^ - + 2.(58 kN

Consider th( verticil equilibrium of the beam: +vc | = 0

Consider jjpon CD: Wc = 0

Consider th< vertical cquil ibrium of tin beam: +ve f = 0 + FaMhri+rSlcfc4j-fl ffufcjj- + 2,12kN

Consider apfln DF: XAfe " 0

- 1L9+ 12-0-(4J0 x Vm ii«j) - 0 A P™ = + 0.03 kN

Consider (he vertiuil equilibrium of [he beam: +ve | EFy:n 0 + V„ ^ t Vib m " 0 Pw M - - 0.03 kN

Consider [hi vertital equilibrium uflhe beam: +ve t ilPy-O + ' >o m + Vim m - & ¡to m = + 6-0 kN |

The lotat vertiesi read ion st eflih. siippon due lo the cominiii^ momc-jits is c^qital to die algebnie sum of [he ioimibuiioiis from cadi beam M die support,

FlXtad - Puc hd + I'm M -(-2.12 - 0.01) - - 2.15 KN Vtm = Pnntod+ fro Arid ={+ 0,03 + i.0) = + 6,03 kN kN

Sol ul io 11

Tupie: Moment MtfribHtfon- Oflili*moui Itemiis I'mMrm Nuntlwr; 4J2

Pain No, 5

Free bending manicnli:

+1 0

Responses

  • askalu
    How to slove continues beam sums?
    1 year ago
  • Wolfgang
    How to solve the problems of moment distribution?
    11 months ago
  • mezan
    How to solve the problem in structural analysis step by step moment disrbution mtd?
    10 months ago
  • William
    How can find balancing joint in structural analysis?
    10 months ago

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