Slope Deflection method:Given By G.A. Maney.
🔰Type/Category:
Equilibrium Method,Displacement method or stiffness method.
🔰Assumptions:
1. All joints Rigid
2. Axial Deformations-Neglected
3. Shear Deformations-Neglected
🔰Application Area:
1. Continious Beams.
2. Frames with & without side sway.
🔰Development of slope deflection method in matrix has lead to "Stiffness Matrix method."
🔰Imp Notes:
1.Shear Equations are written.
2.Join Equilibrium conditions are written.
________
No. Of moment No. Rotational
Equilibrium = Displacement
Conditions Components.
No. Of No. Of
shear = Translational
Equations Displacement
Components.
_______
#structures
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Various Structural Members & Their load carrying mechanism:
⭐️Beams:Shear force&Bending moment
⭐️Columns:
Axial compression&bending moment
⭐️Truss:
Axial compression or Tension
⭐️Arch:
Axial compression and negligible shear and Bending
⭐️Cable:
Axial Tension
⭐️Boom of Crane:
Axial compression
⭐️Guy wire:
Axial Tension
#structures
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🔥 Influence line Diagrams:
🤩As We find Reactions,Shearforce&Bending moment at any given section for static loads, we find similar stress functions for moving loads.
❄️We plot diagrams for various stress functions due the effect of moving loads.
These Diagrams are nothing But ILD.
🤔Shape of ILD:
🌟Linear......For Determinate Struct.
🌟Curvilinear......for Indeterminate struc.
💎Ordinates of ILD are Dimensionless.
👉ILD can be drawn most Easily by using Muller-Breaslau Principle
🔥
🔥
ILD For Reaction in simply supported beam is always Tringular with a maximum ordinate = 1
#structures
Join
@macedhule🏃♂️
🤩As We find Reactions,Shearforce&Bending moment at any given section for static loads, we find similar stress functions for moving loads.
❄️We plot diagrams for various stress functions due the effect of moving loads.
These Diagrams are nothing But ILD.
🤔Shape of ILD:
🌟Linear......For Determinate Struct.
🌟Curvilinear......for Indeterminate struc.
💎Ordinates of ILD are Dimensionless.
👉ILD can be drawn most Easily by using Muller-Breaslau Principle
🔥
M-B principles Gives Qualitative ILD
🔥
M-B principle is Usefull for both Determinate and Indeterminate Structures.ILD For Reaction in simply supported beam is always Tringular with a maximum ordinate = 1
#structures
Join
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🎯Do you know ?
Consistent deformation method is one of the oldest structural analysis method.
Development ofConsistent deformation method has lead to development of Flexibility matrix method .
GA Maney is credited for the Finalization of Slope deflection method of Analysis.
Development of slope deflection method has lead to development ofstiffness matrix method .
Moment distribution method is yet Another method which was proposed bySir Hardy Cross
#MPSC #TOS #Structures #Civilengineering
@macedhule
Development of
Development of slope deflection method has lead to development of
Moment distribution method is yet Another method which was proposed by
#MPSC #TOS #Structures #Civilengineering
@macedhule
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