PPT: Slope-Deflection Method for Beams | Structural Analysis - Civil Engineering (CE) PDF Download

 Page 1


SLOPE-DEFLECTION METHOD FOR BEAMS
Page 2


SLOPE-DEFLECTION METHOD FOR BEAMS
Presentation Overview:
1. INTRODUCTION.(Basic Idea of Slope Deflection
Method )
2. ASSUMPTIONS IN THE SLOPE DEFLECTION
METHOD .
3. APLICATION  OF SLOPE DEFLECTION METHOD.
4. SIGN  CONVENTION.
5. PROCEDURE.
6. SLOPE DEFLECTION EQUATION.
7. EXAMPLE.
Page 3


SLOPE-DEFLECTION METHOD FOR BEAMS
Presentation Overview:
1. INTRODUCTION.(Basic Idea of Slope Deflection
Method )
2. ASSUMPTIONS IN THE SLOPE DEFLECTION
METHOD .
3. APLICATION  OF SLOPE DEFLECTION METHOD.
4. SIGN  CONVENTION.
5. PROCEDURE.
6. SLOPE DEFLECTION EQUATION.
7. EXAMPLE.
INTRODUCTION:
 This method was developed by axel bendexon in Germany in 1914. This
method is applicable to all types of statically indeterminate beams &
frames and in this method, we solve for unknown joint rotations, which
are expressed in terms of the applied loads and the bending
moments.Deflections due to shear and axial stresses are not considered
as the effect are small.
 Indeterminate structure: the structure which can not be analyzed by the
equations of static equilibriums alone are called indeterminate
structures.
Page 4


SLOPE-DEFLECTION METHOD FOR BEAMS
Presentation Overview:
1. INTRODUCTION.(Basic Idea of Slope Deflection
Method )
2. ASSUMPTIONS IN THE SLOPE DEFLECTION
METHOD .
3. APLICATION  OF SLOPE DEFLECTION METHOD.
4. SIGN  CONVENTION.
5. PROCEDURE.
6. SLOPE DEFLECTION EQUATION.
7. EXAMPLE.
INTRODUCTION:
 This method was developed by axel bendexon in Germany in 1914. This
method is applicable to all types of statically indeterminate beams &
frames and in this method, we solve for unknown joint rotations, which
are expressed in terms of the applied loads and the bending
moments.Deflections due to shear and axial stresses are not considered
as the effect are small.
 Indeterminate structure: the structure which can not be analyzed by the
equations of static equilibriums alone are called indeterminate
structures.
ASSUMPTIONS IN THE SLOPE DEFLECTION  METHOD:
This method is based on the following simplified
assumptions:
 All the joints of the frame are rigid,
 Distortion, due to axial and shear stresses, being very small,
are neglected.
Page 5


SLOPE-DEFLECTION METHOD FOR BEAMS
Presentation Overview:
1. INTRODUCTION.(Basic Idea of Slope Deflection
Method )
2. ASSUMPTIONS IN THE SLOPE DEFLECTION
METHOD .
3. APLICATION  OF SLOPE DEFLECTION METHOD.
4. SIGN  CONVENTION.
5. PROCEDURE.
6. SLOPE DEFLECTION EQUATION.
7. EXAMPLE.
INTRODUCTION:
 This method was developed by axel bendexon in Germany in 1914. This
method is applicable to all types of statically indeterminate beams &
frames and in this method, we solve for unknown joint rotations, which
are expressed in terms of the applied loads and the bending
moments.Deflections due to shear and axial stresses are not considered
as the effect are small.
 Indeterminate structure: the structure which can not be analyzed by the
equations of static equilibriums alone are called indeterminate
structures.
ASSUMPTIONS IN THE SLOPE DEFLECTION  METHOD:
This method is based on the following simplified
assumptions:
 All the joints of the frame are rigid,
 Distortion, due to axial and shear stresses, being very small,
are neglected.
Applications of slope deflection method:
1. Continuous Beams
2. Frames with out side sway
3. Frames with side sway