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NM_1016557613-Aquamarine
13-Aquamarine
Jun 12, 2025 6:24 AM UTC
Solved

Mathcad usage

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

 

 

terryhendicott
terryhendicottAnswer
21-Topaz II
Jun 12, 2025 3:00 PM UTC

Hi,

See enclosed file.

Capture.JPG

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11 replies

terryhendicott
terryhendicott21-Topaz II
21-Topaz II
Jun 12, 2025 7:54 AM UTC

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

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    AlanStevens19-Tanzanite
    19-Tanzanite
    Jun 12, 2025 8:22 AM UTC

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

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    terryhendicott
    terryhendicott21-Topaz II
    21-Topaz II
    Jun 12, 2025 8:41 AM UTC

    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

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    AlanStevens19-Tanzanite
    19-Tanzanite
    Jun 12, 2025 8:20 AM UTC

    Here's a simple numerical integration:

    NumericalInt.png

     

     

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