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Mechanics Library

Mechanics. Simple beam. Uniformly distributed load. Reactions

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Procedure calculates reactions in simple beam under uniformly distributed load. Support A is considered left, support B is right.

General information

Procedure BeamType1_UDL_Reactions calculates reactions [N] in simple beam. Support A is considered left, support B is right. You can use this routine in your applications and reports during linear static analysis.

TechEditor - Mechanics Library

General equations:

\[R_a = w \cdot L_w \frac{2b + L_w}{2L}; R_b = w \cdot L_w \frac{2a + L_w}{2L}\]

Recommended units of measurement

  • a, b, L, Lw, x — meter [m];
  • w — newton per meter [N/m];
  • Ra, Rb — newton [N].

DLL

dystlab.mechanics.dll

Usage format (Pascal)

procedure BeamType1_UDL_Reactions(w, a, b, L: Double; var Ra, Rb: Double); stdcall; external [DllName];

Parameters:

  • w — intensity of the unirformly distributed load [N/m];
  • a — distance between start point of the load and support A [m];
  • b — distance between end of the load and support B [m];
  • L — beam length [m];
  • Ra — reaction (force) at support A [N];
  • Rb — reaction (force) at support B [N].

Return value

Procedure returns in Ra, Rb correspondent reactions [N]. If errors (for example, L<0), procedure returns Ra=0 and Rb=0.

Directives

  • DllName — library name. If DLL included in installation pack, then DllName is 'dystlab.mechanics.dll'.

Example for TechEditor

Next code calls routine from DLL and shows standard message box. Code can be used in applications for TechEditor 1.0.7 and higher.

uses
Classes, Dialogs;

procedure BeamType1_UDL_Reactions(w, a, b, L: Double; var Ra, Rb: Double); stdcall; external 'dystlab.mechanics.dll';

var
Ra, Rb: Double;

begin
BeamType1_UDL_Reactions(1.5, 0, 0, 2.0, Ra, Rb); ShowMessage('Ra=' + FloatToStr(Ra) + '; Rb=' + FloatToStr(Rb)); end;

See also

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