0a070919-0849-4744-9f33-57e74673b05d 6 Beam Analysis Sample-1 Redem S. Legaspi Jr Analysis of Beam with any number of supports and with any type of loadings. The worksheet requires that the associated Plugin (Structural Beam Analysis Utililty Functions by Redem Legaspi Jr.) be downloaded and enabled from SMath Studio Extension Manager tool. The worksheet does the following: 1.) Plots Beam Diagram, Shear Diagram, Moment Diagram, Deflection 2.) Calculates Support Reactions 3.) Calculates Shear, Moment, and Deflection at any given point. Refer to 'Beam Analysis Input Guide.sm' on how to use the plugin. redemlegaspi1968@gmail.com Examples, Beam, Supports, Loads, Shear, Moment, Deflection 4 5 false false 0 decimal
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Расчёт балки на двух опорах

Analysis Of Beam USING FINITE ELEMENT METHOD (Sample-1)

1.) GIVEN:

NOTE: This worksheet requires that the associated Plugin (Structural Beam Analysis Utility Functions by Redem Legaspi Jr.) be downloaded and enabled from SMath Studio Extension Manager tool.

Beam Span:

L.span 18 ft * :

Uniform Load Data Matrix:

U.load 59.96 lbf ft / * 0 ft * L.span 3 1 mat :

Support Data Matrix:

S.data PIN PIN PIN PIN 0 ft * L.span 3 / 2 L.span * 3 / L.span 2 4 mat :

Moment of Inertia Data Matrix:

I.data 211.1 in 4 ^ * 0 ft * L.span 3 1 mat :

Modulus of Elasticity Data Matrix:

E.data 29000 ksi * 0 ft * L.span 3 1 mat :

2.) PLOT BEAM:

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Beam Thickness Plot Scale

b.t 0.25 :

Support Plot Scale

s.scale 0.75 :

Uniform Load Plot Scale

u.scale 2.0 :

Parse Support Data for Graphics Output:

plot_Support S.data L.span R b.t s.scale ParseSupport :

Parse Beam Data for Graphics Output

plot_Beam L.span b.t ParseBeam :

Parse Uniform Load for Graphics Output:

plot_uLoad U.load w u.scale ParseQLoad :

PLOT BEAM WITH SUPPORTS AND LOADS:

 plot_Beam plot_Support plot_uLoad PlotBeam

3.) PERFORM ANALYSIS:

Perform Beam Analysis and PASS the result to variable 'Beam_Anl':

Beam_Anl L.span S.data U.load E.data I.data AnalyzeBeamCaprani :

PLOT BEAM WITH SUPPORTS AND LOADS:

 plot_Beam plot_Support plot_uLoad PlotBeam

PLOT BEAM WITH SUPPORTS AND LOADS:

 Beam_Anl PlotShearDiagram

PLOT BEAM WITH SUPPORTS AND LOADS:

 Beam_Anl PlotMomentDiagram

PLOT BEAM WITH SUPPORTS AND LOADS:

 Beam_Anl PlotDeflection

4.) REACTIONS:

Reaction at Support R1

R.1 Beam_Anl 0 ft * SupportReaction : kip 0.144

Reaction at Support R2

R.2 Beam_Anl L.span 2 / SupportReaction : kip Invalid Support Location !!!

Reaction at Support R3

R.3 Beam_Anl L.span SupportReaction : kip 10.144

Moment at Support R1

M.1 Beam_Anl 0 ft * SupportMoment : kip ft * 0

Moment at Support R2

M.2 Beam_Anl L.span 2 / SupportMoment : kip ft * Invalid Support Location !!!

Moment at Support R3

M.3 Beam_Anl L.span SupportMoment : kip ft * 0

5.) RESULTS QUERIES:

Shear at any point along the beam:

Beam_Anl 7.5 ft * GetShear kip 0.09

Bending Moment at any point along the beam:

Beam_Anl 7.5 ft * GetBendingMoment kip ft * 0.013 -

Deflection at any point along the beam:

Beam_Anl 11.75 ft * GetDeflection in 5.809333 10 6 - ^ *

6.) MAXIMUMS:

Maximum Bending Moment:

M.max Beam_Anl MaxBendingMoment : kip ft * 0.216 -

Maximum Positive Bending Moment:

M.maxpositive Beam_Anl MaxPositiveBendingMoment : kip ft * 0.173

Maximum Negative Bending Moment:

M.maxnegative Beam_Anl MaxNegativeBendingMoment : kip ft * 0.216 -

Maximum Shear:

V.max Beam_Anl MaxShear : kip 0.216 -

Maximum Positive Shear:

V.maxpositive Beam_Anl MaxPositiveShear : kip 0.216

Maximum Negative Shear:

V.maxnegative Beam_Anl MaxNegativeShear : kip 0.216 -

Maximum Deflection:

D.max Beam_Anl MaxDeflection : in 0.00015096 -

Maximum Positive Deflection:

D.maxpositive Beam_Anl MaxPositiveDeflection : in 9.134 10 6 - ^ *

Maximum Negative Deflection:

D.maxnegative Beam_Anl MaxNegativeDeflection : in 0.00015096 -

7.) LOCATIONS OF MAXIMUMS:

Maximum Bending Moment Location:

LM.max Beam_Anl MaxBendingMomentLocation : ft 6

Maximum Positive Bending Moment Location:

LM.maxpositive Beam_Anl MaxPositiveBendingMomentLocation : ft 2.325

Maximum Negative Bending Moment Location:

LM.maxnegative Beam_Anl MaxNegativeBendingMomentLocation : ft 6

Maximum Deflection Location:

LD.max Beam_Anl MaxDeflectionLocation : ft 2.7

Maximum Positive Deflection Location:

LD.maxpositive Beam_Anl MaxPositiveDeflectionLocation : ft 6.675

Maximum Negative Deflection Location:

LD.maxnegative Beam_Anl MaxNegativeDeflectionLocation : ft 2.7