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Moment of Buttress dam in horizontal plane using stress Formula

GoMoment for Maximum Intensity in horizontal plane on Buttress Dam Formula

GoMoment for Minimum Intensity in horizontal plane on Buttress Dam Formula

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Moment of Buttress Dams is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend. Check FAQs

M = (σ + (\frac{L Vertical}{A cs})) \cdot \frac{I H}{Y t}

M - Moment of Buttress Dams?σ - Stress on Buttress Dams?L_Vertical - Vertical Load on Member?A_cs - Cross-Sectional Area of Base?I_H - Moment of Inertia of Horizontal Section?Y_t - Distance from Centroidal?

Moment of Buttress dam in horizontal plane using stress Example

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Here is how the Moment of Buttress dam in horizontal plane using stress equation looks like with Values.

Here is how the Moment of Buttress dam in horizontal plane using stress equation looks like with Units.

Here is how the Moment of Buttress dam in horizontal plane using stress equation looks like.

175.0838 = (150 + (\frac{49}{13})) \cdot \frac{23}{20.2}

175.0838kN*m = (150kPa + (\frac{49kN}{13m²})) \cdot \frac{23m⁴}{20.2m}

175.0838 = (150 + (\frac{49}{13})) \cdot \frac{23}{20.2}

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Moment of Buttress dam in horizontal plane using stress Solution

Follow our step by step solution on how to calculate Moment of Buttress dam in horizontal plane using stress?

FIRST Step Consider the formula

M = (σ + (\frac{L Vertical}{A cs})) \cdot \frac{I H}{Y t}

Next Step Substitute values of Variables

∴

M = (150kPa + (\frac{49kN}{13m²})) \cdot \frac{23m⁴}{20.2m}

Next Step Convert Units

∴

M = (150000Pa + (\frac{49000N}{13m²})) \cdot \frac{23m⁴}{20.2m}

Next Step Prepare to Evaluate

∴

M = (150000 + (\frac{49000}{13})) \cdot \frac{23}{20.2}

Next Step Evaluate

∴

M = 175083.77760853N*m

Next Step Convert to Output's Unit

∴

M = 175.08377760853kN*m

LAST Step Rounding Answer

∴

M = 175.0838kN*m

Moment of Buttress dam in horizontal plane using stress Formula Elements

Variables

Moment of Buttress Dams

Moment of Buttress Dams 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

Measurement: Moment of ForceUnit: kN*m

Note: Value can be positive or negative.

Formulas to find Moment of Buttress Dams

Stress on Buttress Dams

Stress on Buttress Dams applied to a material is force per unit area applied to material. The maximum stress a material can stand before it breaks is called breaking stress or ultimate tensile stress.

Symbol: σ

Measurement: PressureUnit: kPa

Note: Value can be positive or negative.

Formulas to find Stress on Buttress Dams

Vertical Load on Member

Vertical Load on Member here specifies the vertical load acting on the member.

Symbol: L_Vertical

Measurement: ForceUnit: kN

Note: Value can be positive or negative.

Formulas to find Vertical Load on Member

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

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

Other Formulas to find Moment of Buttress Dams

Go Moment for Maximum Intensity in horizontal plane on Buttress Dam

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

Go Moment for Minimum Intensity in horizontal plane on Buttress Dam

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

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

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

How to Evaluate Moment of Buttress dam in horizontal plane using stress?

Moment of Buttress dam in horizontal plane using stress evaluator uses Moment of Buttress Dams = (Stress on Buttress Dams+(Vertical Load on Member/Cross-Sectional Area of Base))*Moment of Inertia of Horizontal Section/Distance from Centroidal to evaluate the Moment of Buttress Dams, The Moment of Buttress dam in horizontal plane using stress 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 Buttress Dams is denoted by M symbol.

How to evaluate Moment of Buttress dam in horizontal plane using stress using this online evaluator? To use this online evaluator for Moment of Buttress dam in horizontal plane using stress, enter Stress on Buttress Dams (σ), Vertical Load on Member (L_Vertical), Cross-Sectional Area of Base (A_cs), Moment of Inertia of Horizontal Section (I_H) & Distance from Centroidal (Y_t) and hit the calculate button.

FAQs on Moment of Buttress dam in horizontal plane using stress

What is the formula to find Moment of Buttress dam in horizontal plane using stress?

The formula of Moment of Buttress dam in horizontal plane using stress is expressed as Moment of Buttress Dams = (Stress on Buttress Dams+(Vertical Load on Member/Cross-Sectional Area of Base))*Moment of Inertia of Horizontal Section/Distance from Centroidal. Here is an example- 0.175084 = (150000+(49000/13))*23/20.2.

How to calculate Moment of Buttress dam in horizontal plane using stress?

With Stress on Buttress Dams (σ), Vertical Load on Member (L_Vertical), Cross-Sectional Area of Base (A_cs), Moment of Inertia of Horizontal Section (I_H) & Distance from Centroidal (Y_t) we can find Moment of Buttress dam in horizontal plane using stress using the formula - Moment of Buttress Dams = (Stress on Buttress Dams+(Vertical Load on Member/Cross-Sectional Area of Base))*Moment of Inertia of Horizontal Section/Distance from Centroidal.

What are the other ways to Calculate Moment of Buttress Dams?

Here are the different ways to Calculate Moment of Buttress Dams-

Moment of Buttress Dams=(Stress on Buttress Dams-(Load on Buttress Dams/Cross-Sectional Area of Base))*Moment of Inertia of Horizontal Section/Distance from Centroidal
Moment of Buttress Dams=(Stress on Buttress Dams-(Vertical Load on Member/Cross-Sectional Area of Base))*Moment of Inertia of Horizontal Section/Distance from Centroidal

Can the Moment of Buttress dam in horizontal plane using stress be negative?

Yes, the Moment of Buttress dam in horizontal plane using stress, measured in Moment of Force can be negative.

Which unit is used to measure Moment of Buttress dam in horizontal plane using stress?

Moment of Buttress dam in horizontal plane using stress is usually measured using the Kilonewton Meter[kN*m] for Moment of Force. Newton Meter[kN*m], Millinewton Meter[kN*m], Micronewton Meter[kN*m] are the few other units in which Moment of Buttress dam in horizontal plane using stress can be measured.

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Moment of Buttress dam in horizontal plane using stress Formula

​GoMoment for Maximum Intensity in horizontal plane on Buttress Dam Formula

​GoMoment for Minimum Intensity in horizontal plane on Buttress Dam Formula

Moment of Buttress dam in horizontal plane using stress Example

Moment of Buttress dam in horizontal plane using stress Solution

Moment of Buttress dam in horizontal plane using stress Formula Elements

Other Formulas to find Moment of Buttress Dams

Other formulas in Buttress Dams using law of Trapezoid category

How to Evaluate Moment of Buttress dam in horizontal plane using stress?

FAQs on Moment of Buttress dam in horizontal plane using stress

Variable Name

GoMoment for Maximum Intensity in horizontal plane on Buttress Dam Formula

GoMoment for Minimum Intensity in horizontal plane on Buttress Dam Formula