Volume of Deduction for Semi-Circular Arch Opening Calculator

✖Thickness Wall is simply the width of the given wall.ⓘ Thickness Wall [t_wall]			+10% -10%
✖Length of Rectangular Opening is the width of openings like windows, and doors.ⓘ Length of Rectangular Opening [L_opening]			+10% -10%
✖Height of Rectangular Opening is the height of the rectangular portion of the opening (doors, window).ⓘ Height of Rectangular Opening [h_opening]			+10% -10%
✖Rise of Arch is the height of the segmental arch that is in attachment with a rectangular opening.ⓘ Rise of Arch [r_arch]			+10% -10%

✖Volume for deduction of a particular item (say brickwork, plastering) is the volume that you need to deduct from actual volume of that item of work.ⓘ Volume of Deduction for Semi-Circular Arch Opening [V_deduction]

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Volume of Deduction for Semi-Circular Arch Opening Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume for Deduction = Thickness Wall*((Length of Rectangular Opening*Height of Rectangular Opening)+(3/4*Length of Rectangular Opening*Rise of Arch))
V_deduction = t_wall*((L_opening*h_opening)+(3/4*L_opening*r_arch))
This formula uses 5 Variables

Variables Used

Volume for Deduction - (Measured in Cubic Meter) - Volume for deduction of a particular item (say brickwork, plastering) is the volume that you need to deduct from actual volume of that item of work.
Thickness Wall - (Measured in Meter) - Thickness Wall is simply the width of the given wall.
Length of Rectangular Opening - (Measured in Meter) - Length of Rectangular Opening is the width of openings like windows, and doors.
Height of Rectangular Opening - (Measured in Meter) - Height of Rectangular Opening is the height of the rectangular portion of the opening (doors, window).
Rise of Arch - (Measured in Meter) - Rise of Arch is the height of the segmental arch that is in attachment with a rectangular opening.

STEP 1: Convert Input(s) to Base Unit

Thickness Wall: 230 Millimeter --> 0.23 Meter (Check conversion here)
Length of Rectangular Opening: 2000 Millimeter --> 2 Meter (Check conversion here)
Height of Rectangular Opening: 2700 Millimeter --> 2.7 Meter (Check conversion here)
Rise of Arch: 1200 Millimeter --> 1.2 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_deduction = t_wall*((L_opening*h_opening)+(3/4*L_opening*r_arch)) --> 0.23*((2*2.7)+(3/4*2*1.2))

Evaluating ... ...

V_deduction = 1.656

STEP 3: Convert Result to Output's Unit

1.656 Cubic Meter --> No Conversion Required

FINAL ANSWER

1.656 Cubic Meter <-- Volume for Deduction

(Calculation completed in 00.020 seconds)

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Home » Engineering » Civil » Estimation and Costing » Building Estimation » Deductions for Openings(door, windows) in Masonry » Volume of Deduction for Semi-Circular Arch Opening

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Created by Smriti Singh

MIT Academy of engineering, Pune (MITAOE), Alandi, Pune

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Verified by Ayush Singh

Gautam Buddha University (GBU), Greater Noida

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< Deductions for Openings(door, windows) in Masonry Calculators

Volume of Deduction for Semi-Circular Arch Opening

LaTeX Go Volume for Deduction = Thickness Wall*((Length of Rectangular Opening*Height of Rectangular Opening)+(3/4*Length of Rectangular Opening*Rise of Arch))

Volume of Deduction for Segmental Arch Opening

LaTeX Go Volume for Deduction = Thickness Wall*((Length of Rectangular Opening*Height of Rectangular Opening)+(2/3*Length of Rectangular Opening*Rise of Arch))

Volume of Deduction for Rectangular Opening

LaTeX Go Volume for Deduction = Length of Rectangular Opening*Height of Rectangular Opening*Thickness Wall

Volume of Deduction for Arch Masonry Work

LaTeX Go Volume for Deduction = Mean Length of Arch*Thickness of Arch*Thickness Wall

Volume of Deduction for Semi-Circular Arch Opening Formula

LaTeX Go

For which of the following no deductions are made?

No deductions are made for the following-
1. Opening each up to 1000sq.cm or 0.1 sq.m [1sq.ft].
2. Ends of beams, posts, rafters, purlins, etc. up to 500sq.cm or 0.05 sq.m( 72 sq in) in section.
3. Bedplate, wall plate, bearing of chajjas and the like up to 10cm (4") depth.

Bearings of floor and roof slabs are not to be deducted from wall masonry.

Important considerations related to Volume Deduction for Semi-Circular Opening

The important considerations are as follows
1. Elliptical arch may be considered as a semi-circular arch and may be dealt with in the same manner.
2. For large arches the actual area of the opening should be calculated correctly by mensuration formulae, and deduction should be made for the actual area.

How to Calculate Volume of Deduction for Semi-Circular Arch Opening?

Volume of Deduction for Semi-Circular Arch Opening calculator uses Volume for Deduction = Thickness Wall*((Length of Rectangular Opening*Height of Rectangular Opening)+(3/4*Length of Rectangular Opening*Rise of Arch)) to calculate the Volume for Deduction, The Volume of Deduction for Semi-Circular Arch Opening formula is defined as the volume of masonry/brickwork for the semi-circular arch opening which needs to be deducted from the actual volume of masonry while providing doors, windows, and lintels (of semi-circular arch opening shape). Volume for Deduction is denoted by V_deduction symbol.

How to calculate Volume of Deduction for Semi-Circular Arch Opening using this online calculator? To use this online calculator for Volume of Deduction for Semi-Circular Arch Opening, enter Thickness Wall (t_wall), Length of Rectangular Opening (L_opening), Height of Rectangular Opening (h_opening) & Rise of Arch (r_arch) and hit the calculate button. Here is how the Volume of Deduction for Semi-Circular Arch Opening calculation can be explained with given input values -> 1.656 = 0.23*((2*2.7)+(3/4*2*1.2)).

FAQ

What is Volume of Deduction for Semi-Circular Arch Opening?

The Volume of Deduction for Semi-Circular Arch Opening formula is defined as the volume of masonry/brickwork for the semi-circular arch opening which needs to be deducted from the actual volume of masonry while providing doors, windows, and lintels (of semi-circular arch opening shape) and is represented as V_deduction = t_wall*((L_opening*h_opening)+(3/4*L_opening*r_arch)) or Volume for Deduction = Thickness Wall*((Length of Rectangular Opening*Height of Rectangular Opening)+(3/4*Length of Rectangular Opening*Rise of Arch)). Thickness Wall is simply the width of the given wall, Length of Rectangular Opening is the width of openings like windows, and doors, Height of Rectangular Opening is the height of the rectangular portion of the opening (doors, window) & Rise of Arch is the height of the segmental arch that is in attachment with a rectangular opening.

How to calculate Volume of Deduction for Semi-Circular Arch Opening?

The Volume of Deduction for Semi-Circular Arch Opening formula is defined as the volume of masonry/brickwork for the semi-circular arch opening which needs to be deducted from the actual volume of masonry while providing doors, windows, and lintels (of semi-circular arch opening shape) is calculated using Volume for Deduction = Thickness Wall*((Length of Rectangular Opening*Height of Rectangular Opening)+(3/4*Length of Rectangular Opening*Rise of Arch)). To calculate Volume of Deduction for Semi-Circular Arch Opening, you need Thickness Wall (t_wall), Length of Rectangular Opening (L_opening), Height of Rectangular Opening (h_opening) & Rise of Arch (r_arch). With our tool, you need to enter the respective value for Thickness Wall, Length of Rectangular Opening, Height of Rectangular Opening & Rise of Arch and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Volume for Deduction?

In this formula, Volume for Deduction uses Thickness Wall, Length of Rectangular Opening, Height of Rectangular Opening & Rise of Arch. We can use 3 other way(s) to calculate the same, which is/are as follows -

Volume for Deduction = Length of Rectangular Opening*Height of Rectangular Opening*Thickness Wall
Volume for Deduction = Thickness Wall*((Length of Rectangular Opening*Height of Rectangular Opening)+(2/3*Length of Rectangular Opening*Rise of Arch))
Volume for Deduction = Mean Length of Arch*Thickness of Arch*Thickness Wall

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