"SECTPROP" Program

Doc"SECTPROP" --- SECTION PROPERTIES ANALYSIS PROGRAMProgram Description:"SECTPROP" is a spreadsheet program written in MS-Excel for the purpose of calculating section properties.Two methods of input data are provided, either by adding of deleting "shapes" or by defining a polygon by aseries of "points". Specifically, the centroid location and total area are determined, as well as the centroidal andprincipal axes moments of inertia, radii of gyration, and rotation angle.This program is a workbook consisting of three (3) worksheets, described as follows:Worksheet NameDescriptionDocThis documentation sheetShapesSection properties analysis using shapes to model sectionPointsSection properties analysis using up to 50 points to model sectionStressStress analysis for symmetric and unsymmetric sectionsProgram Assumptions and Limitations:1. This program will calculate the centroid location, total cross-sectional area, moments of inertia, and radii ofgyration for the centroidal axes and the principal axes if applicable. The value of the rotation angle betweenthe centroidal and principal axes is also calculated.2. Units are any consistent set of units the user desires.3. In the case of both calculation worksheets, the user should make sure to either clear the contents of allspreadsheet cells that are not used for input or those cell values should be input = 0.4. Using the Shapes worksheet, the origin X-axis MUST BE located at the lowest (bottom) point of the totalsection. The overall height of the total section (in Y-direction) MUST BE correctly input as well.5. In using the Shapes worksheet, the origin Y-axis MUST BE located at the left most point of the total section.The overall width of the total section (in X-direction) MUST BE correctly input as well.6. Using the Shapes worksheet, there is input for the number of rectangles, circles, cylinders, and symmetricalshapes with known properties to be either added and/or deleted in order to model a particular section. Forrectangles, circles, and cylinders, there is input for applicable dimensions as well as the location of thecentroid from the assumed origin axes. For shapes with "known" properties, there is input for the self area,self moments of inertia, and location of the centroid from the assumed origin axes.7. Using the Shapes worksheet, any "known" shapes that are input should usually be at least singularlysymmetric (Ixy=0), except for the special case where the entire section to be modeled is at least singularlysymmetric. For example, a "known" angle shape should be modeled as two rectangles, unless there is a"matching" angle to create overall symmetry about at least one axis.8. Using the Shapes worksheet, when a total section is made up of ONLY rectangles, an approximate value ofthe torsional constant, 'J', is displayed at the bottom of the worksheet (cells A51 and B51) under thecomposite section properties calculations. (Note: cells A48, A49, B48, and B49 are "unlocked" so that theresulting value of 'J' may be manually typed in for print out if desired.)9. Using the Points worksheet, the modeled section can be any polygon defined by up to 50 connectable points,each with its own set of X,Y coordinates (3 points are a minimum). The number of points is the actual totalnumber of different points required to define the polygon. While it is NOT required to redefine the start point to"define" the polygon (as the program will automatically "close" the polygon after the end point has beendefined), in some cases it may be required to re-enter the coordinates of starting Point #1 directtly afterthe last defined point coordinates, so that the plot of the section will appear "closed".10. Using the Points worksheet, coordinates of each point are input, proceeding in a CLOCKWISE direction for(positive) area to be added, and then in a COUNTER-CLOCKWISE direction for (negative) area to be deleted.(See "Nomenclature" illustration for example.)11. Using the Points worksheet, the origin MUST BE located so that the entire section is in the positive quadrant.Negative coordinates ARE NOT acceptable.12. This program contains numerous comment boxes which contain a wide variety of information includingexplanations of input or output items, equations used, data tables, etc. (Note: presence of a comment boxis denoted by a red triangle in the upper right-hand corner of a cell. Merely move the mouse pointer to thedesired cell to view the contents of that particular "comment box".)

ShapesSECTION PROPERTIES ANALYSISCALCULATIONS:Version 2.4Using "Shapes" to Model Section0Shapes with Known Properties:Job Name:Subject:1Data:xcycAsIxsIysXCYCIxoIyoIxyoDescription, Assumptions and Limitations:Job Number:Originator:Checker:2Shape #14.04006.595014.7000394.000056.300059.388096.94651033.362296.228391.6643Shape #20.00000.00000.00000.00000.00000.00000.00000.0000.0000.0001. This section properties worksheet may be used for the purpose of calculating section properties of "built-up"Input Data:4Shape #30.00000.00000.00000.00000.00000.00000.00000.0000.0000.000shapes, by either adding or deleting shapes. Specifically, the centroid location and total area are5Shape #40.00000.00000.00000.00000.00000.00000.00000.0000.0000.000determined, as well as the centroidal and principal axes moments of inertia, radii of gyration, and rotation angle.Overall Height, Yt =13.1900(measured up from Global X-axis)6Shape #50.00000.00000.00000.00000.00000.00000.00000.0000.0000.0002. Units are any consistent set of units the user desires.Overall Width, Xt =8.0800(measured to right from Global Y-axis)7Shape #60.00000.00000.00000.00000.00000.00000.00000.0000.0000.0003. In using this worksheet, it is of utmost importance that user make sure to either clear the contents of all8Shape #70.00000.00000.00000.00000.00000.00000.00000.0000.0000.000spreadsheet cells that are not used for input or those cell values should be input = 0.No. of Known Shapes =1YShape #80.00000.00000.00000.00000.00000.00000.00000.0000.0000.0004. In using this worksheet, the origin MUST BE located so that the entire section is in the positive quadrant.Data:Shape #10000000NNegative coordinates ARE NOT acceptable.A =14.7000Rectangular Shapes:5. In using this worksheet, the origin X-axis MUST BE located at the lowest (bottom) point of the total section.Ix =394.00Data:LxLyxcycAsIxsIysXCYCIxoIyoIxyo0.000The overall height of the total section (in Y-direction) MUST BE correctly input as well.Iy =56.30Rect. #17.00000.50004.04000.25003.50000.072914.291714.14000.87500.29271.4173.5350.0006. In using this worksheet, the origin Y-axis MUST BE located at the left most point of the total section.xc =4.0400Rect. #27.00000.50004.040012.94003.50000.072914.291714.140045.2900586.12671.417182.9720.000The overall width of the total section (in X-direction) MUST BE correctly input as well.yc =6.5950Rect. #30.00000.00000.00000.00000.00000.00000.00000.00000.00000.0000.0000.0000.0007. In using this worksheet, there is input for the number of rectangles, circles, cylinders, and symmetrical shapesAdd? Y/NYRect. #40.00000.00000.00000.00000.00000.00000.00000.00000.00000.0000.0000.0000.000with known properties to be either added and/or deleted in order to model a particular section. For rectanglesRect. #50.00000.00000.00000.00000.00000.00000.00000.00000.00000.0000.0000.0000.000circles, and cylinders, there is input for applicable dimensions as well as the location of the centroid from theNo. of Rectangles =2Rect. #60.00000.00000.00000.00000.00000.00000.00000.00000.00000.0000.0000.0000.000assumed origin axes. For shapes with "known" properties, there is input for the self area, self moments of inertia,Data:Rect. #1Rect. #2000000Rect. #70.00000.00000.00000.00000.00000.00000.00000.00000.00000.0000.0000.0000.000and location of the centroid from the assumed origin axes.Length, Lx =7.00007.0000Rect. #80.00000.00000.00000.00000.00000.00000.00000.00000.00000.0000.0000.0000.0008. In using this worksheet, any "known" shapes that are input should usually be at least singularly symmetric (Ixy=0),Length, Ly =0.50000.5000except for the special case where the entire section to be modeled is at least singularly symmetric. For example,xc =4.04004.0400Circular Shapes:a "known" angle shape should be modeled as two rectangles, unless there is a "matching" angle to create overallyc =0.250012.9400Data:DxcycAsIxsIysXCYCIxoIyoIxyosymmetry about at least one axis.Add? Y/NYYCircle #10.00000.00000.00000.00000.00000.00000.00000.00000.0000.0000.0009. In using this worksheet, when a total section is made up of ONLY rectangles, an approximate value of the torsionalCircle #20.00000.00000.00000.00000.00000.00000.00000.00000.0000.0000.000constant, 'J', is displayed just below the bottom of this worksheet (cells A52 and B52) under the composite sectionNumber of Circles =0Circle #30.00000.00000.00000.00000.00000.00000.00000.00000.0000.0000.000properties calculations. (Note: cells A49 and B49 are "unlocked" so that the resulting value of 'J' may be manuallyData:0000Circle #40.00000.00000.00000.00000.00000.00000.00000.00000.0000.0000.000typed in for print out if desired.)Dia., D =xc =Cylinder Shapes:yc =Data:O.D.I.D.xcycAsIxsIysXCYCIxoIyoIxyoAdd? Y/NCylinder #10.00000.00000.00000.00000.00000.00000.00000.00000.00000.0000.0000.000Cylinder #20.00000.00000.00000.00000.00000.00000.00000.00000.00000.0000.0000.000Number of Cylinders =0Cylinder #30.00000.00000.00000.00000.00000.00000.00000.00000.00000.0000.0000.000Data:0000Cylinder #40.00000.00000.00000.00000.00000.00000.00000.00000.00000.0000.0000.000O.D. =I.D. =Composite Section Properties:xc =A =21.700yc =S XC =87.668Add? Y/NNomenclatureS YC =143.112S Ixo =1619.78Results:S Iyo =439.06Centroidal Axes Properties:Principal Axes Properties:S Ixyo =578.170Centroid Location and Area:Ix =675.96Ix' =675.96Xc(left) =4.040Xc(left) =4.040Sx(top) =102.50Iy' =84.88Xc(right) =4.040Xc(right) =4.040Sx(bot) =102.50Ixy' =0.000Yc(top) =6.595Yc(top) =6.595Iy =84.88rx' =5.581Yc(bot) =6.595Yc(bot) =6.595Sy(left) =21.01ry' =1.978Ix =675.96A =21.700Sy(right) =21.01q =0.000Sx(top) =102.50Ixy =0.000Sx(bot) =102.50rx =5.581Iy =84.88ry =1.978Sy(left) =21.01Sy(right) =21.01Ixy =0.0000.0000.000rx =5.581ry =1.978q =0.000Ix' =675.96Iy' =84.88Ixy' =0.000rx' =5.581ry' =1.9780.0000.0000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.000.00

&R"SECTPROP.xls" ProgramVersion 2.4&C&P of &N&R&D &TThe location of the centroidal Y-axis of the total section from the origin Y-axis is calculated as follows: Xc = S (As*xc)/Aswhere: As = Area of each respective section or shape xc = X-distance from origin Y-axis to centroid of each respective section or shapeA = Cross-sectional area of known shape.Ix = X-axis moment of inertia of known shape.xc = X-distance from origin Y-axis to centroid of known shape.Iy = Y-axis moment of inertia of known shape.yc = Y-distance from origin X-axis to centroid of known shape.Note: Origin X-axis MUST BE located at lowest point of total section. Thus, yc MUST BE > 0 !Do you want to add (include) this known shape to the total section? Input Y (for yes, to add) or N (for no, to subtract).xc = X-distance from origin Y-axis to centroid of rectangle.Lx = Length of rectangle parallel to the origin X-axis.Ly = Length of rectangle parallel to the origin Y-axis.Number of shapes with known properties MUST BE