Civil Engineering - Estimating and Costing - Discussion
Discussion Forum : Estimating and Costing - Section 1 (Q.No. 4)
4.
The correct prismoidal formula for volume is
D [first area + last area + ∑ Even area + 2 ∑ odd areas]
[first area + last area + 4 ∑ Even area + 2 ∑ odd areas] [first area + last area + 2 ∑ Even area + 4 ∑ odd areas]
[first area + last area + 2 ∑ Even area + 4 ∑ odd areas].Discussion:
30 comments Page 1 of 3.
AMZ said:
7 years ago
None of the above. The question lacks explanation of D, presumably equal spacing of areas. Prismoidal formula treats areas as vector ordinates and averages the areas.
In the same way the area of a prism=median area (Top+Bottom)/2*height. V = D/2*[V1 + Vn + 2* (V2+V3+..+Vn-2)].
In the same way the area of a prism=median area (Top+Bottom)/2*height. V = D/2*[V1 + Vn + 2* (V2+V3+..+Vn-2)].
Rishabh Machiwal said:
7 years ago
Both options B and C are right.
If we take A1, A2, A3.......,An-1, An then option B is right.
If we take A0, A1, A2, A3.....An-1, An then option C is right.
If we take A1, A2, A3.......,An-1, An then option B is right.
If we take A0, A1, A2, A3.....An-1, An then option C is right.
Indhuca said:
6 years ago
=> [first area + last area + 4 Σ Even area + 2 Σ odd areas is the Right answer and it is Also Known as Simpson Rule.
S.Shahin said:
8 years ago
B is correct.
Because here even means v=L/3{ A.+An+4(A1+A3+.....+An-1)+2(A2+A4+......+An-2)}
Here, A = Coross sectional Area.
Because here even means v=L/3{ A.+An+4(A1+A3+.....+An-1)+2(A2+A4+......+An-2)}
Here, A = Coross sectional Area.
Rekha said:
4 years ago
@Indhuca.
Computation of area - Simpson's rule.
Computation of volume- Prismoidal formula.
Both equations are same.
Computation of area - Simpson's rule.
Computation of volume- Prismoidal formula.
Both equations are same.
(2)
Aman said:
6 years ago
L/3 (1st area + last area + 4 (sum of even area) + 2 (sum of odd area). It's Simson rule.
Sukhamoy said:
10 years ago
(L/3) should be multiplied with option B, where L is the total length of strip.
Neha said:
3 years ago
Correct answer is B, because Prismoidal formula known as Simpson's formula.
(1)
PS111 said:
7 years ago
C is correct.
D/3 *[(1ST AREA+LAST AREA) + 4*(ODD)+ 2*(EVEN)].
D/3 *[(1ST AREA+LAST AREA) + 4*(ODD)+ 2*(EVEN)].
A Arul said:
10 years ago
Kindly give answers with full explanation its useful to all.
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