Horizontal Distance from Support to Section for Angle between Horizontal and Arch Calculator

✖Span of Arch is the horizontal distance between the two supporting members of an arch.ⓘ Span of Arch [l]			+10% -10%
✖Angle between Horizontal and Arch is the inclination measured from the horizontal reference line to the arch.ⓘ Angle between Horizontal and Arch [y']			+10% -10%
✖The Rise of arch is the vertical distance from the centerline to the arch’s crown. It is the highest point on the arch from the reference line.ⓘ Rise of arch [f]			+10% -10%

✖Horizontal Distance from Support represents the horizontal distance from any support of the arch to the section being considered.ⓘ Horizontal Distance from Support to Section for Angle between Horizontal and Arch [x_Arch]

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Horizontal Distance from Support to Section for Angle between Horizontal and Arch

Formula

`"x"_{"Arch"} = ("l"/2)-(("y'"*"l"^2)/(8*"f"))`

Example

`"2.666667m"=("16m"/2)-(("0.5"*("16m")^2)/(8*"3m"))`

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Horizontal Distance from Support to Section for Angle between Horizontal and Arch Solution

STEP 0: Pre-Calculation Summary

Formula Used

Horizontal Distance from Support = (Span of Arch/2)-((Angle between Horizontal and Arch*Span of Arch^2)/(8*Rise of arch))
x_Arch = (l/2)-((y'*l^2)/(8*f))
This formula uses 4 Variables

Variables Used

Horizontal Distance from Support - (Measured in Meter) - Horizontal Distance from Support represents the horizontal distance from any support of the arch to the section being considered.
Span of Arch - (Measured in Meter) - Span of Arch is the horizontal distance between the two supporting members of an arch.
Angle between Horizontal and Arch - Angle between Horizontal and Arch is the inclination measured from the horizontal reference line to the arch.
Rise of arch - (Measured in Meter) - The Rise of arch is the vertical distance from the centerline to the arch’s crown. It is the highest point on the arch from the reference line.

STEP 1: Convert Input(s) to Base Unit

Span of Arch: 16 Meter --> 16 Meter No Conversion Required
Angle between Horizontal and Arch: 0.5 --> No Conversion Required
Rise of arch: 3 Meter --> 3 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

x_Arch = (l/2)-((y'*l^2)/(8*f)) --> (16/2)-((0.5*16^2)/(8*3))

Evaluating ... ...

x_Arch = 2.66666666666667

STEP 3: Convert Result to Output's Unit

2.66666666666667 Meter --> No Conversion Required

FINAL ANSWER

2.66666666666667 ≈ 2.666667 Meter <-- Horizontal Distance from Support

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Structural Engineering » Structural Analysis » Miscellaneous Topics » Unsymmetrical Bending and Three Hinged Arches » Three Hinged Arches » Horizontal Distance from Support to Section for Angle between Horizontal and Arch

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Created by Rachana B V

The National Institute of Engineering (NIE), Mysuru

Rachana B V has created this Calculator and 25+ more calculators!

Verified by Ayush Singh

Gautam Buddha University (GBU), Greater Noida

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< 8 Three Hinged Arches Calculators

Span of Arch in Three-hinged Circular Arch

Go Span of Arch = 2*((sqrt((Radius of Arch^2)-((Ordinate of Point on Arch-Rise of arch)/Radius of Arch)^2))+Horizontal Distance from Support)

Rise of three-hinged Parabolic Arch

Go Rise of arch = (Ordinate of Point on Arch*(Span of Arch^2))/(4*Horizontal Distance from Support*(Span of Arch-Horizontal Distance from Support))

Ordinate at any point along Central Line of Three-hinged Parabolic Arch

Go Ordinate of Point on Arch = (4*Rise of arch*Horizontal Distance from Support/(Span of Arch^2))*(Span of Arch-Horizontal Distance from Support)

Ordinate of any point along Central Line of Three-hinged Circular Arch

Go Ordinate of Point on Arch = (((Radius of Arch^2)-((Span of Arch/2)-Horizontal Distance from Support)^2)^(1/2))*Radius of Arch+Rise of arch

Rise of Arch in Three-hinged Circular Arch

Go Rise of arch = (((Radius of Arch^2)-((Span of Arch/2)-Horizontal Distance from Support)^2)^(1/2))*Radius of Arch+Ordinate of Point on Arch

Rise of Three-Hinged Arch for Angle between Horizontal and Arch

Go Rise of arch = (Angle between Horizontal and Arch*(Span of Arch^2))/(4*(Span of Arch-(2*Horizontal Distance from Support)))

Horizontal Distance from Support to Section for Angle between Horizontal and Arch

Go Horizontal Distance from Support = (Span of Arch/2)-((Angle between Horizontal and Arch*Span of Arch^2)/(8*Rise of arch))

Angle between Horizontal and Arch

Go Angle between Horizontal and Arch = Rise of arch*4*(Span of Arch-(2*Horizontal Distance from Support))/(Span of Arch^2)

Horizontal Distance from Support to Section for Angle between Horizontal and Arch Formula

Horizontal Distance from Support = (Span of Arch/2)-((Angle between Horizontal and Arch*Span of Arch^2)/(8*Rise of arch))
x_Arch = (l/2)-((y'*l^2)/(8*f))

What is a Three-Hinged Arch?

A three-hinged arch is a geometrically stable and statically determinate structure. It consists of two curved members connected by an internal hinge at the crown and is supported by two hinges at its base. Sometimes, a tie is provided at the support level or at an elevated position in the arch to increase the stability of the structure.

How to Calculate Horizontal Distance from Support to Section for Angle between Horizontal and Arch?

Horizontal Distance from Support to Section for Angle between Horizontal and Arch calculator uses Horizontal Distance from Support = (Span of Arch/2)-((Angle between Horizontal and Arch*Span of Arch^2)/(8*Rise of arch)) to calculate the Horizontal Distance from Support, The Horizontal Distance from Support to Section for Angle between Horizontal and Arch formula is defined as the span or length measured along the horizontal plane. Horizontal Distance from Support is denoted by x_Arch symbol.

How to calculate Horizontal Distance from Support to Section for Angle between Horizontal and Arch using this online calculator? To use this online calculator for Horizontal Distance from Support to Section for Angle between Horizontal and Arch, enter Span of Arch (l), Angle between Horizontal and Arch (y') & Rise of arch (f) and hit the calculate button. Here is how the Horizontal Distance from Support to Section for Angle between Horizontal and Arch calculation can be explained with given input values -> 2.666667 = (16/2)-((0.5*16^2)/(8*3)).

FAQ

What is Horizontal Distance from Support to Section for Angle between Horizontal and Arch?

The Horizontal Distance from Support to Section for Angle between Horizontal and Arch formula is defined as the span or length measured along the horizontal plane and is represented as x_Arch = (l/2)-((y'*l^2)/(8*f)) or Horizontal Distance from Support = (Span of Arch/2)-((Angle between Horizontal and Arch*Span of Arch^2)/(8*Rise of arch)). Span of Arch is the horizontal distance between the two supporting members of an arch, Angle between Horizontal and Arch is the inclination measured from the horizontal reference line to the arch & The Rise of arch is the vertical distance from the centerline to the arch’s crown. It is the highest point on the arch from the reference line.

How to calculate Horizontal Distance from Support to Section for Angle between Horizontal and Arch?

The Horizontal Distance from Support to Section for Angle between Horizontal and Arch formula is defined as the span or length measured along the horizontal plane is calculated using Horizontal Distance from Support = (Span of Arch/2)-((Angle between Horizontal and Arch*Span of Arch^2)/(8*Rise of arch)). To calculate Horizontal Distance from Support to Section for Angle between Horizontal and Arch, you need Span of Arch (l), Angle between Horizontal and Arch (y') & Rise of arch (f). With our tool, you need to enter the respective value for Span of Arch, Angle between Horizontal and Arch & Rise of arch and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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