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MET 107 Mathcad – Homework #10

Beam Reactions and Deformations using Vectors and Arrays

Duplicate the results of the two prior Excel spreadsheets related to generating a table of Beam Reactions and Deformations. Text in red is not required nor are screen captures of the dialog boxes. For the following Beam Reaction problem, include the Beam Reaction Diagram and text in black. Make sure Title, Description, Input and Calculations are shown.

You will be using the input data set from the Excel spreadsheet, not the Input shown below! Example Output Beam Reactions Table (using original input):

lbf

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A 1-D array has addresses similar to Array_Namei. (row only) A 2-D array has addresses similar to Array_Namei,k (row,column)

Excel refers to locations by column, row!

Note: Ra and Rb; format to 0 decimal places, no trailing 0, no display of row indicies.

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Example Output Deformation Problem (case 1 data set from Excel only): Hint: Make sure you include the proper units for area in your calculations!

The rest of the assignment is left up to the student. Critical Hint: When calculating Area, use four different formulas with the area hard-coded (ie .1 in

2) and the column

number hard coded (ie aj,1); one formula for each column. In other words, your range variable will alter the row, the column will be hard coded into the address. Only one range variable is required to load array a. The vector and array output should be formatted to appear as shown (note column/row label display as well as the number of decimal places). Your output will have actual values displayed.

You MUST load vector P before attempting to load Array A. You MUST load vector P using a “looping” procedure (range variable)

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Summary Sheet (this format using custom header as before):

Note: you will include screen captures from Excel and Mathcad (roughly the same size and horizontally aligned) so it is readable.

Results: Beam Deflections Excel Mathcad

Note Alignment!

Results: Deformation Excel Mathcad

Note any discrepancies here:

To locate screen capture: Double click image, under Layout Tab select Tight Crop/resize and move as is appropriate

You will be using the 5 meter long beam data set!

You will be using the E=30x106 psi, L=30 Data Set!

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Turn in the following in the order listed: Excel documentation Beam Reactions

Spreadsheet using Grid and Header Macro (P=2550 lbs, L=20’)

Spreadsheet using Copy Cell Formula

Hand Calculations for P=2550 lbs and a=0,5,10,15 and 20’

Spreadsheet using Grid and Header Macro (P=80 kg, L=5m) Deformations

Deformation in Truss Members

Spreadsheet using Grid and Header Macro (E=30x106 psi, L=30”)

Spreadsheet using Copy Cell Formula

Hand Calculations for E=30x106 psi, L=30” at 5 locations specified in HW #9

Spreadsheet using Grid and Header Macro (E=1.5x106 psi, L=60”)

Mathcad documentation Beam Reactions

Worksheet (P= 80 kg, L=5 m), this will span 2 pages Deformations

Worksheet (E=30x106, L=30), this will span 2 pages

Summary Sheet

Screen Captures and discussion For Beam Reaction problem, P=80 kg, L = 5 m For Deformation problem, E=30x10

6 psi, L=30”