7b43f065-204d-4910-8771-8619d7a14e4e 96 Jose Carlo Mendoza 4 5 false false 0 0 decimal

Расчёт балки на двух опорах

FEBeam Analysis Sample 1

1.) Initialize Model

Note: If smath is in "Auto-Calculation" Mode and you have made changes to
the input functions, it is best to recalculate page again, at least once.

1 A_ModelReset 1

Note: the name/ID must be unique at all times.

2.) Add Material

E 29000 ksi * :

Steel E A_AddMaterial 1

3.) Add Beam

I.x W12x30 Ix SectionPropertyAISC : in 4^238

<- included function in FEBeam
Plugin

L.span 15 ft * :

Beam 1 L.span I.x Steel A_AddBeam 1

4.) Add Support/Boundary Conditions

S1 0 ft * Fixed A_AddSupport 1

S2 L.span 2 / PIN A_AddSupport 1

S3 L.span Fixed A_AddSupport 1

5.) Add Loads

UL_1 LoadCase1 03 ft * 1.5 kip ft / * - 1.5 kip ft / * - A_AddDistributedLoad 1

UL_2 LoadCase2 12 ft * L.span 1.5 kip ft / * - 1.5 kip ft / * - A_AddDistributedLoad 1

P1 LoadCase1 4.75 ft * 5 kip * - 0 A_AddPointLoad 1

P2 LoadCase2 10.25 ft * 5 kip * - 0 A_AddPointLoad 1

6.) Solve the Finite_Element_model

1 A_SolveModel Total Number of Elements:  202; Total Number of DOF's: 406;

7.) Plot Diagrams

Imperial_Units_1 A_SetDiagramUnits Diagram Units set to Imperial_Units_1.

Note: Diagram Units can be set to:
1. "Imperial_Units_1"
2. "Imperial_Units_2"
3. "SI_Units_1"
4. "SI_Units_2"

Note:
-Values on diagrams are calculated on discrete points and may approximate only the extremum values.

LoadCase LoadCase1 :

For Load Case 1:

LoadCase A_SolveLoadCase 1

LoadCase A_GetLoadDiagramByLoadCase 1 A_GetInternalShearDiagram 1 A_GetInternalMomentDiagram 1 A_GetSlopeDiagram 1 A_GetDisplacementDiagram

LoadCase LoadCase2 :

For Load Case 2:

LoadCase A_SolveLoadCase 1

LoadCase A_GetLoadDiagramByLoadCase 1 A_GetInternalShearDiagram 1 A_GetInternalMomentDiagram 1 A_GetSlopeDiagram 1 A_GetDisplacementDiagram

LoadCase LoadCase1+LoadCase2 :

For Load Case 1 + 2:

LoadCase A_SolveLoadCase 1

LoadCase A_GetLoadDiagramByLoadCase 1 A_GetInternalShearDiagram 1 A_GetInternalMomentDiagram 1 A_GetSlopeDiagram 1 A_GetDisplacementDiagram

8.) Get Results for LoadCase 1

LoadCase LoadCase1 :

LoadCase A_SolveLoadCase 1

a.) Reactions

Reaction_1 S1 A_GetReactionAt :

Shear Reaction @ "S1":

Moment Reaction @ "S1":

Reaction_1 1 el kip 6.1252

Reaction_1 2 el kip ft * 8.5769

Reaction_2 S2 A_GetReactionAt :

Shear Reaction @ "S2":

Moment Reaction @ "S2":

Reaction_2 1 el kip 4.0523

Reaction_2 2 el kip ft * 0

Reaction_3 S3 A_GetReactionAt :

Shear Reaction @ "S3":

Moment Reaction @ "S3":

Reaction_3 1 el kip 0.6775 -

Reaction_3 2 el kip ft * 1.6938

b.) Extrema

maximaForces 0 ft * L.span A_GetInternalForcesMaximaAtRange :

Minimum Shear:

maximaForces 2 row 11 el kip 3.3748 -

maximaForces 2 row 12 el ft 6.9047

Maximum Shear:

maximaForces 1 row 11 el kip 6.1252

maximaForces 1 row 12 el ft 0

Minimum Moment:

maximaForces 4 row 11 el kip ft * 8.5769 -

maximaForces 4 row 12 el ft 0

Maximum Moment:

maximaForces 3 row 11 el kip ft * 5.893

maximaForces 3 row 12 el ft 4.75

maximaDOFs 0 ft * L.span A_GetDOFsMaximaAtRange :

Minimum Slope:

maximaDOFs 2 row 11 el rad 0.0001 -

maximaDOFs 2 row 12 el ft 1.7948

Maximum Slope:

maximaDOFs 1 row 11 el rad 0.0002

maximaDOFs 1 row 12 el ft 6.4959

Minimum Deflection:

maximaDOFs 4 row 11 el in 0.0048 -

maximaDOFs 4 row 12 el ft 4.2177

Maximum Deflection:

maximaDOFs 3 row 11 el in 0.0018

maximaDOFs 3 row 12 el ft 10.0003

c.) Query other results

InternalForcesAtSpecifiedLocation 7.5 ft * A_GetInternalForcesAt :

shear InternalForcesAtSpecifiedLocation 1 row : kip 3.3748 - 0.6775 12 mat

moment InternalForcesAtSpecifiedLocation 2 row : kip ft * 3.3876 - 3.3876 - 12 mat

RotationAndDisplacement 11.75 ft * A_GetDOFsAt :

slope RotationAndDisplacement 1 row : rad 4.0198 105 -^* - 4.0198 105 -^* - 12 mat

deflection RotationAndDisplacement 2 row : in 0.0013 0.0013 12 mat

8.) Get Results for LoadCase 2

LoadCase LoadCase2 :

LoadCase A_SolveLoadCase 1

a.) Reactions

Reaction_1 S1 A_GetReactionAt :

Shear Reaction @ "S1":

Moment Reaction @ "S1":

Reaction_1 1 el kip 0.6775 -

Reaction_1 2 el kip ft * 1.6938 -

Reaction_2 S2 A_GetReactionAt :

Shear Reaction @ "S2":

Moment Reaction @ "S2":

Reaction_2 1 el kip 4.0523

Reaction_2 2 el kip ft * 0

Reaction_3 S3 A_GetReactionAt :

Shear Reaction @ "S3":

Moment Reaction @ "S3":

Reaction_3 1 el kip 6.1252

Reaction_3 2 el kip ft * 8.5769 -

b.) Extrema

maximaForces 0 ft * L.span A_GetInternalForcesMaximaAtRange :

Minimum Shear:

maximaForces 2 row 11 el kip 6.1252 -

maximaForces 2 row 12 el ft 15

Maximum Shear:

maximaForces 1 row 11 el kip 3.3748

maximaForces 1 row 12 el ft 10.1757

Minimum Moment:

maximaForces 4 row 11 el kip ft * 8.5769 -

maximaForces 4 row 12 el ft 15

Maximum Moment:

maximaForces 3 row 11 el kip ft * 5.893

maximaForces 3 row 12 el ft 10.25

maximaDOFs 0 ft * L.span A_GetDOFsMaximaAtRange :

Minimum Slope:

maximaDOFs 2 row 11 el rad 0.0002 -

maximaDOFs 2 row 12 el ft 8.5041

Maximum Slope:

maximaDOFs 1 row 11 el rad 0.0001

maximaDOFs 1 row 12 el ft 13.2052

Minimum Deflection:

maximaDOFs 4 row 11 el in 0.0048 -

maximaDOFs 4 row 12 el ft 10.7823

Maximum Deflection:

maximaDOFs 3 row 11 el in 0.0018

maximaDOFs 3 row 12 el ft 4.9997

c.) Query other results

InternalForcesAtSpecifiedLocation 7.5 ft * A_GetInternalForcesAt :

shear InternalForcesAtSpecifiedLocation 1 row : kip 0.6775 - 3.3748 12 mat

moment InternalForcesAtSpecifiedLocation 2 row : kip ft * 3.3876 - 3.3876 - 12 mat

RotationAndDisplacement 11.75 ft * A_GetDOFsAt :

slope RotationAndDisplacement 1 row : rad 8.5626 105 -^* 8.5626 105 -^* 12 mat

deflection RotationAndDisplacement 2 row : in 0.0043 - 0.0043 - 12 mat

8.) Get Results for LoadCase 1 + 2

LoadCase LoadCase1+LoadCase2 :

LoadCase A_SolveLoadCase 1

a.) Reactions

Reaction_1 S1 A_GetReactionAt :

Shear Reaction @ "S1":

Moment Reaction @ "S1":

Reaction_1 1 el kip 5.4477

Reaction_1 2 el kip ft * 6.8831

Reaction_2 S2 A_GetReactionAt :

Shear Reaction @ "S2":

Moment Reaction @ "S2":

Reaction_2 1 el kip 8.1046

Reaction_2 2 el kip ft * 0

Reaction_3 S3 A_GetReactionAt :

Shear Reaction @ "S3":

Moment Reaction @ "S3":

Reaction_3 1 el kip 5.4477

Reaction_3 2 el kip ft * 6.8831 -

b.) Extrema

maximaForces 0 ft * L.span A_GetInternalForcesMaximaAtRange :

Minimum Shear:

maximaForces 2 row 11 el kip 5.4477 -

maximaForces 2 row 12 el ft 15

Maximum Shear:

maximaForces 1 row 11 el kip 5.4477

maximaForces 1 row 12 el ft 0

Minimum Moment:

maximaForces 4 row 11 el kip ft * 6.8831 -

maximaForces 4 row 12 el ft 15

Maximum Moment:

maximaForces 3 row 11 el kip ft * 4.3685

maximaForces 3 row 12 el ft 4.75

maximaDOFs 0 ft * L.span A_GetDOFsMaximaAtRange :

Minimum Slope:

maximaDOFs 2 row 11 el rad 0.0001 -

maximaDOFs 2 row 12 el ft 9.1723

Maximum Slope:

maximaDOFs 1 row 11 el rad 0.0001

maximaDOFs 1 row 12 el ft 5.8277

Minimum Deflection:

maximaDOFs 4 row 11 el in 0.0032 -

maximaDOFs 4 row 12 el ft 11.0827

Maximum Deflection:

maximaDOFs 3 row 11 el in 0

maximaDOFs 3 row 12 el ft 0

c.) Query other results

InternalForcesAtSpecifiedLocation 7.5 ft * A_GetInternalForcesAt :

shear InternalForcesAtSpecifiedLocation 1 row : kip 4.0523 - 4.0523 12 mat

moment InternalForcesAtSpecifiedLocation 2 row : kip ft * 6.7753 - 6.7753 - 12 mat

RotationAndDisplacement 11.75 ft * A_GetDOFsAt :

slope RotationAndDisplacement 1 row : rad 4.5428 105 -^* 4.5428 105 -^* 12 mat

deflection RotationAndDisplacement 2 row : in 0.003 - 0.003 - 12 mat