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

GoOrdinate of any point along Central Line of Three-hinged Circular Arch Formula

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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. Check FAQs

y Arch = (4 \cdot f \cdot \frac{x Arch}{l^{2}}) \cdot (l - x Arch)

y_Arch - Ordinate of Point on Arch?f - Rise of arch?x_Arch - Horizontal Distance from Support?l - Span of Arch?

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

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Here is how the Ordinate at any point along Central Line of Three-hinged Parabolic Arch equation looks like with Values.

Here is how the Ordinate at any point along Central Line of Three-hinged Parabolic Arch equation looks like with Units.

Here is how the Ordinate at any point along Central Line of Three-hinged Parabolic Arch equation looks like.

1.3125 = (4 \cdot 3 \cdot \frac{2}{16^{2}}) \cdot (16 - 2)

1.3125m = (4 \cdot 3m \cdot \frac{2m}{{16m}^{2}}) \cdot (16m - 2m)

1.3125 = (4 \cdot 3 \cdot \frac{2}{16^{2}}) \cdot (16 - 2)

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

Follow our step by step solution on how to calculate Ordinate at any point along Central Line of Three-hinged Parabolic Arch?

FIRST Step Consider the formula

y Arch = (4 \cdot f \cdot \frac{x Arch}{l^{2}}) \cdot (l - x Arch)

Next Step Substitute values of Variables

∴

y Arch = (4 \cdot 3m \cdot \frac{2m}{{16m}^{2}}) \cdot (16m - 2m)

Next Step Prepare to Evaluate

∴

y Arch = (4 \cdot 3 \cdot \frac{2}{16^{2}}) \cdot (16 - 2)

LAST Step Evaluate

∴

y Arch = 1.3125m

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

Variables

Ordinate of Point on Arch

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.

Symbol: y_Arch

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Ordinate of Point on Arch

Rise of 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.

Symbol: f

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Rise of arch

Horizontal Distance from Support

Horizontal Distance from Support represents the horizontal distance from any support of the arch to the section being considered.

Symbol: x_Arch

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Horizontal Distance from Support

Span of Arch

Span of Arch is the horizontal distance between the two supporting members of an arch.

Symbol: l

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Span of Arch

Other Formulas to find Ordinate of Point on Arch

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

y Arch = ({((R^{2}) - {((\frac{l}{2}) - x Arch)}^{2})}^{\frac{1}{2}}) \cdot R + f

Other formulas in Three Hinged Arches category

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

f = \frac{y' \cdot (l^{2})}{4 \cdot (l - (2 \cdot x Arch))}

Go Rise of three-hinged Parabolic Arch

f = \frac{y Arch \cdot (l^{2})}{4 \cdot x Arch \cdot (l - x Arch)}

Go Angle between Horizontal and Arch

y' = f \cdot 4 \cdot \frac{l - (2 \cdot x Arch)}{l^{2}}

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

x Arch = (\frac{l}{2}) - (\frac{y' \cdot l^{2}}{8 \cdot f})

How to Evaluate Ordinate at any point along Central Line of Three-hinged Parabolic Arch?

Ordinate at any point along Central Line of Three-hinged Parabolic Arch evaluator uses Ordinate of Point on Arch = (4*Rise of arch*Horizontal Distance from Support/(Span of Arch^2))*(Span of Arch-Horizontal Distance from Support) to evaluate the Ordinate of Point on Arch, The Ordinate at any point along Central Line of Three-hinged Parabolic Arch is defined as a parabolic arch in terms of the rise of the arch and its horizontal span. Ordinate of Point on Arch is denoted by y_Arch symbol.

How to evaluate Ordinate at any point along Central Line of Three-hinged Parabolic Arch using this online evaluator? To use this online evaluator for Ordinate at any point along Central Line of Three-hinged Parabolic Arch, enter Rise of arch (f), Horizontal Distance from Support (x_Arch) & Span of Arch (l) and hit the calculate button.

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

What is the formula to find Ordinate at any point along Central Line of Three-hinged Parabolic Arch?

The formula of Ordinate at any point along Central Line of Three-hinged Parabolic Arch is expressed as Ordinate of Point on Arch = (4*Rise of arch*Horizontal Distance from Support/(Span of Arch^2))*(Span of Arch-Horizontal Distance from Support). Here is an example- 1.3125 = (4*3*2/(16^2))*(16-2).

How to calculate Ordinate at any point along Central Line of Three-hinged Parabolic Arch?

With Rise of arch (f), Horizontal Distance from Support (x_Arch) & Span of Arch (l) we can find Ordinate at any point along Central Line of Three-hinged Parabolic Arch using the formula - Ordinate of Point on Arch = (4*Rise of arch*Horizontal Distance from Support/(Span of Arch^2))*(Span of Arch-Horizontal Distance from Support).

What are the other ways to Calculate Ordinate of Point on Arch?

Here are the different ways to Calculate Ordinate of Point on Arch-

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

Can the Ordinate at any point along Central Line of Three-hinged Parabolic Arch be negative?

No, the Ordinate at any point along Central Line of Three-hinged Parabolic Arch, measured in Length cannot be negative.

Which unit is used to measure Ordinate at any point along Central Line of Three-hinged Parabolic Arch?

Ordinate at any point along Central Line of Three-hinged Parabolic Arch is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Ordinate at any point along Central Line of Three-hinged Parabolic Arch can be measured.

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

​GoOrdinate of any point along Central Line of Three-hinged Circular Arch Formula

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

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

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

Other Formulas to find Ordinate of Point on Arch

Other formulas in Three Hinged Arches category

How to Evaluate Ordinate at any point along Central Line of Three-hinged Parabolic Arch?

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

Variable Name

GoOrdinate of any point along Central Line of Three-hinged Circular Arch Formula