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Accurate formula for upper portion of trapezoidal footing.

 
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ajaynkadam
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PostPosted: Sun Nov 08, 2020 4:19 am    Post subject: Accurate formula for upper portion of trapezoidal footing. Reply with quote

Accurate formula for upper portion of trapezoidal footing. Being used in akses RCBD 2020. www.akses.in


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es_jayakumar
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PostPosted: Mon Nov 09, 2020 1:14 am    Post subject: Reply with quote

Why is V = H/3[A1+A2+SQRT(A1*A2)] termed as approximate formula ?
It is the mathematically derived accurate formula !

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ajaynkadam
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PostPosted: Mon Nov 09, 2020 2:21 am    Post subject: Reply with quote

'Approximate' because its result does not match exactly with the accurate formula.
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SANJEEV KASLIWAL
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PostPosted: Mon Nov 09, 2020 9:30 am    Post subject: Accurate formula for upper portion of trapezoidal footing. Reply with quote

ACCURATE FORMULA FOR TRAPEZOIDAL FOOTING IS = H/B(A1+A2+4AM)

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abhio
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PostPosted: Mon Nov 09, 2020 9:41 am    Post subject: Reply with quote

https://mathalino.com/reviewer/derivation-of-formulas/derivation-of-formula-for-volume-of-a-frustum
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ajaynkadam
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PostPosted: Mon Nov 09, 2020 10:52 am    Post subject: Reply with quote

Formula derived in the link requires slanting edges to meet and the same point. In case of trapezoidal footings this may or may not be the case.  Therefore result obtained using the formula given in the link do not match with the result obtained using the accurate formula.
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ajaynkadam
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PostPosted: Tue Nov 10, 2020 2:57 am    Post subject: Reply with quote

Interested fellows can verify using Autocad's Solid Volume.


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ajaynkadam
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PostPosted: Tue Nov 10, 2020 3:00 am    Post subject: Reply with quote

Formula for V1 and V2 used in the derivation given in the link above are of pyramid. Which cannot be used in this case.


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abhio
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PostPosted: Tue Nov 10, 2020 4:26 am    Post subject: Reply with quote

Now it's clear. Thanks for the explanation.
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