Rise of three-hinged Parabolic Arch Calculator

✖Ordinate of Point on Arch is the ordinate of any point along the central line of the arch. It basically gives the Equation for a three-hinged Parabolic arch.ⓘ Ordinate of Point on Arch [y_Arch]			+10% -10%
✖Span of Arch is the horizontal distance between the two supporting members of an arch.ⓘ Span of Arch [l]			+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 [x_Arch]			+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 three-hinged Parabolic Arch [f]

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Formula

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Rise of three-hinged Parabolic Arch

Formula

`"f" = ("y"_{"Arch"}*("l"^2))/(4*"x"_{"Arch"}*("l"-"x"_{"Arch"}))`

Example

`"3.2m"=("1.4m"*(("16m")^2))/(4*"2m"*("16m"-"2m"))`

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Rise of three-hinged Parabolic Arch Solution

STEP 0: Pre-Calculation Summary

Formula Used

Rise of arch = (Ordinate of Point on Arch*(Span of Arch^2))/(4*Horizontal Distance from Support*(Span of Arch-Horizontal Distance from Support))
f = (y_Arch*(l^2))/(4*x_Arch*(l-x_Arch))
This formula uses 4 Variables

Variables Used

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.
Ordinate of Point on Arch - (Measured in Meter) - Ordinate of Point on Arch is the ordinate of any point along the central line of the arch. It basically gives the Equation for a three-hinged Parabolic arch.
Span of Arch - (Measured in Meter) - Span of Arch is the horizontal distance between the two supporting members of an arch.
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.

STEP 1: Convert Input(s) to Base Unit

Ordinate of Point on Arch: 1.4 Meter --> 1.4 Meter No Conversion Required
Span of Arch: 16 Meter --> 16 Meter No Conversion Required
Horizontal Distance from Support: 2 Meter --> 2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

f = (y_Arch*(l^2))/(4*x_Arch*(l-x_Arch)) --> (1.4*(16^2))/(4*2*(16-2))

Evaluating ... ...

f = 3.2

STEP 3: Convert Result to Output's Unit

3.2 Meter --> No Conversion Required

FINAL ANSWER

3.2 Meter <-- Rise of arch

(Calculation completed in 00.004 seconds)

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Created by Swarnima Singh

NIT Jaipur (mnitj), jaipur

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Coorg Institute of Technology (CIT), Coorg

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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)

Rise of three-hinged Parabolic Arch Formula

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

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.

What makes Arches different from Other Structures?

One of the main distinguishing features of an arch is the development of horizontal thrusts at the supports as well as the vertical reactions, even in the absence of a horizontal load. The internal forces at any section of an arch include axial compression, shearing force, and bending moment.

How to Calculate Rise of three-hinged Parabolic Arch?

Rise of three-hinged Parabolic Arch calculator uses Rise of arch = (Ordinate of Point on Arch*(Span of Arch^2))/(4*Horizontal Distance from Support*(Span of Arch-Horizontal Distance from Support)) to calculate the Rise of arch, The Rise of three-hinged Parabolic Arch is defined as the clear vertical distance between the highest point on the intrados and the springing line. Rise of arch is denoted by f symbol.

How to calculate Rise of three-hinged Parabolic Arch using this online calculator? To use this online calculator for Rise of three-hinged Parabolic Arch, enter Ordinate of Point on Arch (y_Arch), Span of Arch (l) & Horizontal Distance from Support (x_Arch) and hit the calculate button. Here is how the Rise of three-hinged Parabolic Arch calculation can be explained with given input values -> 3.428571 = (1.4*(16^2))/(4*2*(16-2)).

FAQ

What is Rise of three-hinged Parabolic Arch?

The Rise of three-hinged Parabolic Arch is defined as the clear vertical distance between the highest point on the intrados and the springing line and is represented as f = (y_Arch*(l^2))/(4*x_Arch*(l-x_Arch)) or 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 of Point on Arch is the ordinate of any point along the central line of the arch. It basically gives the Equation for a three-hinged Parabolic arch, Span of Arch is the horizontal distance between the two supporting members of an arch & Horizontal Distance from Support represents the horizontal distance from any support of the arch to the section being considered.

How to calculate Rise of three-hinged Parabolic Arch?

The Rise of three-hinged Parabolic Arch is defined as the clear vertical distance between the highest point on the intrados and the springing line is calculated using Rise of arch = (Ordinate of Point on Arch*(Span of Arch^2))/(4*Horizontal Distance from Support*(Span of Arch-Horizontal Distance from Support)). To calculate Rise of three-hinged Parabolic Arch, you need Ordinate of Point on Arch (y_Arch), Span of Arch (l) & Horizontal Distance from Support (x_Arch). With our tool, you need to enter the respective value for Ordinate of Point on Arch, Span of Arch & Horizontal Distance from Support 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 Rise of arch?

In this formula, Rise of arch uses Ordinate of Point on Arch, Span of Arch & Horizontal Distance from Support. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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