SDM3FF: 3-Span Slope Deflection Method(Fixed-Fixed)

In sivarajahm/CEngineering: Tools/Functions for Civil and Water Resources Engineering

Description

This function computes the moments and the rotations using slope deflection method(SDM).

Usage

SDM3FF(LengthAB, LengthBC, LengthCD, Typeof1, Typeof2, Typeof3, Magnitude1,
  Magnitude2, Magnitude3, Pointof1, Pointof2, Pointof3, EAB, EBC, ECD, IAB, IBC,
  ICD)

Arguments

LengthAB	The length of span AB
LengthBC	The length of span BC
LengthCD	The length of span CD
Typeof1	The type of load(i.e., UDL/PL/TDLS/TDLE) on span AB
Typeof2	The type of load(i.e., UDL/PL/TDLS/TDLE) on span BC
Typeof3	The type of load(i.e., UDL/PL/TDLS/TDLE) on span CD
Magnitude1	The magnitude of the load on span AB
Magnitude2	The magnitude of the load on span BC
Magnitude3	The magnitude of the load on span CD
Pointof1	The point at which the load is applied on span AB
Pointof2	The point at which the load is applied on span BC
Pointof3	The point at which the load is applied on span CD
EAB	Young's Modulus(E) of span AB
EBC	Young's Modulus(E) of span BC
ECD	Young's Modulus(E) of span CD
IAB	Inertia(second moment of area, I) of span AB
IBC	Inertia(second moment of area, I) of span BC
ICD	Inertia(second moment of area, I) of span CD

Details

Given the span length, magnitude of load, type of load, point of action, Young's Modulus, and interia, the function computes the moments and the rotations using SDM.

Value

Moments and Rotations

Note

The possible values for Typeof1, Typeof2, and Typeof3 are UDL/PL/TDLS/TDLE.
UDL:Uniformly Distributed Load
PL:Point Load
TDLS:Triangular Distributed Load(the maximum value is at the start, see http://www.abzwater.com/sdm)
TDLE:Triangular Distributed Load(the maximum value is at the end, see http://www.abzwater.com/sdm )

Author(s)

Sivarajah Mylevaganam

References

(1) Wikipedia contributors. (2018, February 19). Slope deflection method. In Wikipedia, The Free Encyclopedia. Retrieved 09:17, March 26, 2018, from https://en.wikipedia.org/w/index.php?title=Slope_deflection_method&oldid=826540985

(2) Norris, Charles Head; John Benson Wilbur; Senol Utku (1976). Elementary Structural Analysis (3rd ed.). McGraw-Hill. pp. 313–326. ISBN 0-07-047256-4.

(3) McCormac, Jack C.; Nelson, James K. Jr. (1997). Structural Analysis: A Classical and Matrix Approach (2nd ed.). Addison-Wesley. pp. 430–451. ISBN 0-673-99753-7.

See Also

SDM2FS SDM2FSC SDM2FF

Examples

Single load on a span (http://www.abzwater.com/sdm)
SDM3FF(8,4,8,"PL","UDL","PL",40,24,20,4,1,4,1,1,1,1,1,1)
SDM3FF(2,2,2,"UDL","UDL","UDL",40,40,40,1,1,1,1,1,1,1,1,1)
SDM3FF(2,2,2,"UDL","UDL","UDL",40,80,40,1,1,1,1,1,1,1,1,1)


Multiple load on a span(http://www.abzwater.com/sdm)
SDM3FF(5,10,5,"PL","PL","PL",0,40,0,1,3,1,1,1,1,1,1,1) + SDM3FF(5,10,5,"PL","PL","PL",0,40,0,1,7,1,1,1,1,1,1,1)

Framed  Structure(http://www.abzwater.com/sdm)
SDM3FF(5,10,5,"PL","UDL","PL",0,5,0,1,1,1,1,1,1,1,1,1)

sivarajahm/CEngineering documentation built on May 17, 2019, 8:44 p.m.