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Moment of Inertia for Minimum Intensity in horizontal plane on Buttress Dam Formula

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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. Check FAQs

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

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

Moment of Inertia for Minimum Intensity in horizontal plane on Buttress Dam Example

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Here is how the Moment of Inertia for Minimum Intensity in horizontal plane on Buttress Dam equation looks like with Values.

Here is how the Moment of Inertia for Minimum Intensity in horizontal plane on Buttress Dam equation looks like with Units.

Here is how the Moment of Inertia for Minimum Intensity in horizontal plane on Buttress Dam equation looks like.

23.1963 = (\frac{53 \cdot 20.2}{1200 - (\frac{15}{13})})

23.1963m⁴ = (\frac{53N*m \cdot 20.2m}{1200Pa - (\frac{15kN}{13m²})})

23.1963 = (\frac{53 \cdot 20.2}{1200 - (\frac{15}{13})})

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Moment of Inertia for Minimum Intensity in horizontal plane on Buttress Dam Solution

Follow our step by step solution on how to calculate Moment of Inertia for Minimum Intensity in horizontal plane on Buttress Dam?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

I H = (\frac{53N*m \cdot 20.2m}{1200Pa - (\frac{15kN}{13m²})})

Next Step Convert Units

∴

I H = (\frac{53N*m \cdot 20.2m}{1200Pa - (\frac{15000N}{13m²})})

Next Step Prepare to Evaluate

∴

I H = (\frac{53 \cdot 20.2}{1200 - (\frac{15000}{13})})

Next Step Evaluate

∴

I H = 23.1963333333333m⁴

LAST Step Rounding Answer

∴

I H = 23.1963m⁴

Moment of Inertia for Minimum Intensity in horizontal plane on Buttress Dam Formula Elements

Variables

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

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

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 Moment of Inertia for Minimum Intensity in horizontal plane on Buttress Dam?

Moment of Inertia for Minimum Intensity in horizontal plane on Buttress Dam evaluator uses Moment of Inertia of Horizontal Section = ((Bending Moment*Distance from Centroidal)/(Intensity of Normal Stress-(Load on Buttress Dams/Cross-Sectional Area of Base))) to evaluate the Moment of Inertia of Horizontal Section, The Moment of Inertia for Minimum Intensity in horizontal plane on Buttress Dam is defined as the product of mass of section and the square of the distance between the reference axis and the centroid of the section. Moment of Inertia of Horizontal Section is denoted by I_H symbol.

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

FAQs on Moment of Inertia for Minimum Intensity in horizontal plane on Buttress Dam

What is the formula to find Moment of Inertia for Minimum Intensity in horizontal plane on Buttress Dam?

The formula of Moment of Inertia for Minimum Intensity in horizontal plane on Buttress Dam is expressed as Moment of Inertia of Horizontal Section = ((Bending Moment*Distance from Centroidal)/(Intensity of Normal Stress-(Load on Buttress Dams/Cross-Sectional Area of Base))). Here is an example- 23.19633 = ((53*20.2)/(1200-(15000/13))).

How to calculate Moment of Inertia for Minimum Intensity in horizontal plane on Buttress Dam?

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

Can the Moment of Inertia for Minimum Intensity in horizontal plane on Buttress Dam be negative?

Yes, the Moment of Inertia for Minimum Intensity in horizontal plane on Buttress Dam, measured in Second Moment of Area can be negative.

Which unit is used to measure Moment of Inertia for Minimum Intensity in horizontal plane on Buttress Dam?

Moment of Inertia for Minimum Intensity in horizontal plane on Buttress Dam is usually measured using the Meter⁴[m⁴] for Second Moment of Area. Centimeter⁴[m⁴], Millimeter⁴[m⁴] are the few other units in which Moment of Inertia for Minimum Intensity in horizontal plane on Buttress Dam can be measured.

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Moment of Inertia for Minimum Intensity in horizontal plane on Buttress Dam Formula

Moment of Inertia for Minimum Intensity in horizontal plane on Buttress Dam Example

Moment of Inertia for Minimum Intensity in horizontal plane on Buttress Dam Solution

Moment of Inertia for Minimum Intensity in horizontal plane on Buttress Dam Formula Elements

Other formulas in Buttress Dams using law of Trapezoid category

How to Evaluate Moment of Inertia for Minimum Intensity in horizontal plane on Buttress Dam?

FAQs on Moment of Inertia for Minimum Intensity in horizontal plane on Buttress Dam

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