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Distance from Centroid for Maximum Intensity in horizontal plane on Buttress Dam Formula

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Distance from Centroidal is the average distance between all points and the central point. Check FAQs

Y t = (\frac{(σ i - (\frac{p}{A cs})) \cdot I H}{M b})

Y_t - Distance from Centroidal?σ_i - Intensity of Normal Stress?p - Load on Buttress Dams?A_cs - Cross-Sectional Area of Base?I_H - Moment of Inertia of Horizontal Section?M_b - Bending Moment?

Distance from Centroid for Maximum Intensity in horizontal plane on Buttress Dam Example

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Here is how the Distance from Centroid for Maximum Intensity in horizontal plane on Buttress Dam equation looks like with Values.

Here is how the Distance from Centroid for Maximum Intensity in horizontal plane on Buttress Dam equation looks like with Units.

Here is how the Distance from Centroid for Maximum Intensity in horizontal plane on Buttress Dam equation looks like.

20.029 = (\frac{(1200 - (\frac{15}{13})) \cdot 23}{53})

20.029m = (\frac{(1200Pa - (\frac{15kN}{13m²})) \cdot 23m⁴}{53N*m})

20.029 = (\frac{(1200 - (\frac{15}{13})) \cdot 23}{53})

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Distance from Centroid for Maximum Intensity in horizontal plane on Buttress Dam Solution

Follow our step by step solution on how to calculate Distance from Centroid for Maximum Intensity in horizontal plane on Buttress Dam?

FIRST Step Consider the formula

Y t = (\frac{(σ i - (\frac{p}{A cs})) \cdot I H}{M b})

Next Step Substitute values of Variables

∴

Y t = (\frac{(1200Pa - (\frac{15kN}{13m²})) \cdot 23m⁴}{53N*m})

Next Step Convert Units

∴

Y t = (\frac{(1200Pa - (\frac{15000N}{13m²})) \cdot 23m⁴}{53N*m})

Next Step Prepare to Evaluate

∴

Y t = (\frac{(1200 - (\frac{15000}{13})) \cdot 23}{53})

Next Step Evaluate

∴

Y t = 20.0290275761974m

LAST Step Rounding Answer

∴

Y t = 20.029m

Distance from Centroid for Maximum Intensity in horizontal plane on Buttress Dam Formula Elements

Variables

Distance from Centroidal

Distance from Centroidal is the average distance between all points and the central point.

Symbol: Y_t

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Distance from Centroidal

Intensity of Normal Stress

Intensity of Normal Stress on Horizontal plane is the ratio of normal force and area.

Symbol: σ_i

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Intensity of Normal Stress

Load on Buttress Dams

Load on Buttress Dams here specifies the vertical load acting on the member.

Symbol: p

Measurement: ForceUnit: kN

Note: Value can be positive or negative.

Formulas to find Load on Buttress Dams

Cross-Sectional Area of Base

Cross-Sectional Area of Base is the area of a two-dimensional shape that is obtained when a three-dimensional shape is sliced perpendicular to some specified axis at a point.

Symbol: A_cs

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Cross-Sectional Area of Base

Moment of Inertia of Horizontal Section

Moment of Inertia of horizontal section is defined as the body resisting angular acceleration which is the sum of the product of the mass of with its square of a distance from the axis of rotation.

Symbol: I_H

Measurement: Second Moment of AreaUnit: m⁴

Note: Value can be positive or negative.

Formulas to find Moment of Inertia of Horizontal Section

Bending Moment

The Bending Moment is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend.

Symbol: M_b

Measurement: Moment of ForceUnit: N*m

Note: Value should be greater than 0.

Formulas to find Bending Moment

Other formulas in Buttress Dams using law of Trapezoid category

Go Maximum Intensity of Vertical Force in horizontal plane on Buttress Dam

σ i = (\frac{p}{A cs}) + (\frac{M b \cdot Y t}{I H})

Go Sectional Area of Base for Maximum Intensity in horizontal plane on Buttress Dam

A cs = \frac{p}{σ i - (\frac{M b \cdot Y t}{I H})}

Go Total Vertical Load for Maximum Intensity in horizontal plane on Buttress Dam

p = (σ i - (\frac{M b \cdot Y t}{I H})) \cdot A cs

Go Moment for Maximum Intensity in horizontal plane on Buttress Dam

M = (σ - (\frac{p}{A cs})) \cdot \frac{I H}{Y t}

How to Evaluate Distance from Centroid for Maximum Intensity in horizontal plane on Buttress Dam?

Distance from Centroid for Maximum Intensity in horizontal plane on Buttress Dam evaluator uses Distance from Centroidal = (((Intensity of Normal Stress-(Load on Buttress Dams/Cross-Sectional Area of Base))*Moment of Inertia of Horizontal Section)/Bending Moment) to evaluate the Distance from Centroidal, The Distance from Centroid for Maximum Intensity in horizontal plane on Buttress Dam is defined as the distance between the centroid and its corresponding vertex is twice the distance between the barycenter and the midpoint of the opposite side. Distance from Centroidal is denoted by Y_t symbol.

How to evaluate Distance from Centroid for Maximum Intensity in horizontal plane on Buttress Dam using this online evaluator? To use this online evaluator for Distance from Centroid for Maximum Intensity in horizontal plane on Buttress Dam, enter Intensity of Normal Stress (σ_i), Load on Buttress Dams (p), Cross-Sectional Area of Base (A_cs), Moment of Inertia of Horizontal Section (I_H) & Bending Moment (M_b) and hit the calculate button.

FAQs on Distance from Centroid for Maximum Intensity in horizontal plane on Buttress Dam

What is the formula to find Distance from Centroid for Maximum Intensity in horizontal plane on Buttress Dam?

The formula of Distance from Centroid for Maximum Intensity in horizontal plane on Buttress Dam is expressed as Distance from Centroidal = (((Intensity of Normal Stress-(Load on Buttress Dams/Cross-Sectional Area of Base))*Moment of Inertia of Horizontal Section)/Bending Moment). Here is an example- 20.02903 = (((1200-(15000/13))*23)/53).

How to calculate Distance from Centroid for Maximum Intensity in horizontal plane on Buttress Dam?

With Intensity of Normal Stress (σ_i), Load on Buttress Dams (p), Cross-Sectional Area of Base (A_cs), Moment of Inertia of Horizontal Section (I_H) & Bending Moment (M_b) we can find Distance from Centroid for Maximum Intensity in horizontal plane on Buttress Dam using the formula - Distance from Centroidal = (((Intensity of Normal Stress-(Load on Buttress Dams/Cross-Sectional Area of Base))*Moment of Inertia of Horizontal Section)/Bending Moment).

Can the Distance from Centroid for Maximum Intensity in horizontal plane on Buttress Dam be negative?

No, the Distance from Centroid for Maximum Intensity in horizontal plane on Buttress Dam, measured in Length cannot be negative.

Which unit is used to measure Distance from Centroid for Maximum Intensity in horizontal plane on Buttress Dam?

Distance from Centroid for Maximum Intensity in horizontal plane on Buttress Dam is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Distance from Centroid for Maximum Intensity in horizontal plane on Buttress Dam can be measured.

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Distance from Centroid for Maximum Intensity in horizontal plane on Buttress Dam Formula

Distance from Centroid for Maximum Intensity in horizontal plane on Buttress Dam Example

Distance from Centroid for Maximum Intensity in horizontal plane on Buttress Dam Solution

Distance from Centroid for Maximum Intensity in horizontal plane on Buttress Dam Formula Elements

Other formulas in Buttress Dams using law of Trapezoid category

How to Evaluate Distance from Centroid for Maximum Intensity in horizontal plane on Buttress Dam?

FAQs on Distance from Centroid for Maximum Intensity in horizontal plane on Buttress Dam

Variable Name