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NM_1016557613-Aquamarine
13-Aquamarine
June 12, 2025
Solved

Mathcad usage

  • June 12, 2025
  • 2 replies
  • 1551 views

Hello everyone,
eff.K shown in picture is radius of curvature along beam length and X is the array for sectional points.
I have to double integrate eff.K to get deflection. How can i do it in Mathcad? Attached Mathcad 10 sheet.

NM_10165576_1-1749709475403.png

 

 

Best answer by terryhendicott

Hi,

See enclosed file.

Capture.JPG

2 replies

T
21-Topaz II
terryhendicott21-Topaz II
21-Topaz II
June 12, 2025

Hi,

two steps.

1) turn the effK into a continuous function using the interp() function.

2) make a function to do the double integration.

Capture.JPG

Then plot the result

Capture2.JPG

    A
    AlanStevens19-Tanzanite
    19-Tanzanite
    June 12, 2025

    Terry, shouldn't your outer integration be with respect to x?

    T
    21-Topaz II
    terryhendicott21-Topaz II
    21-Topaz II
    June 12, 2025

    Hi Alan,

    If the second integral is wrt x it would be an area integration.  It should be two integrals wrt length along the beam?

    To be meaningful for deflection of the beam the slope at the ends of the beam needs to be included?

    Cheers

    Terry

    A
    AlanStevens19-Tanzanite
    19-Tanzanite
    June 12, 2025

    Here's a simple numerical integration:

    NumericalInt.png

     

     

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