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Minimum Intensity in horizontal plane on Buttress Dam Formula

GoMaximum Intensity of Vertical Force in horizontal plane on Buttress Dam Formula

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

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

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

Minimum Intensity in horizontal plane on Buttress Dam Example

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

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

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

1107.2983 = (\frac{15}{13}) - (\frac{53 \cdot 20.2}{23})

1107.2983Pa = (\frac{15kN}{13m²}) - (\frac{53N*m \cdot 20.2m}{23m⁴})

1107.2983 = (\frac{15}{13}) - (\frac{53 \cdot 20.2}{23})

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Minimum Intensity in horizontal plane on Buttress Dam Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

σ i = (\frac{15kN}{13m²}) - (\frac{53N*m \cdot 20.2m}{23m⁴})

Next Step Convert Units

∴

σ i = (\frac{15000N}{13m²}) - (\frac{53N*m \cdot 20.2m}{23m⁴})

Next Step Prepare to Evaluate

∴

σ i = (\frac{15000}{13}) - (\frac{53 \cdot 20.2}{23})

Next Step Evaluate

∴

σ i = 1107.2983277592Pa

LAST Step Rounding Answer

∴

σ i = 1107.2983Pa

Minimum Intensity in horizontal plane on Buttress Dam Formula Elements

Variables

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

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

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

Other Formulas to find Intensity of Normal Stress

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})

Other formulas in Buttress Dams using law of Trapezoid category

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}

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 Minimum Intensity in horizontal plane on Buttress Dam?

Minimum Intensity in horizontal plane on Buttress Dam evaluator uses Intensity of Normal Stress = (Load on Buttress Dams/Cross-Sectional Area of Base)-((Bending Moment*Distance from Centroidal)/Moment of Inertia of Horizontal Section) to evaluate the Intensity of Normal Stress, The Minimum Intensity in horizontal plane on Buttress Dam formula is defined as the maximum negative stress on the extreme fiber. Intensity of Normal Stress is denoted by σ_i symbol.

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

FAQs on Minimum Intensity in horizontal plane on Buttress Dam

What is the formula to find Minimum Intensity in horizontal plane on Buttress Dam?

The formula of Minimum Intensity in horizontal plane on Buttress Dam is expressed as Intensity of Normal Stress = (Load on Buttress Dams/Cross-Sectional Area of Base)-((Bending Moment*Distance from Centroidal)/Moment of Inertia of Horizontal Section). Here is an example- 1107.298 = (15000/13)-((53*20.2)/23).

How to calculate Minimum Intensity in horizontal plane on Buttress Dam?

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

What are the other ways to Calculate Intensity of Normal Stress?

Here are the different ways to Calculate Intensity of Normal Stress-

Intensity of Normal Stress=(Load on Buttress Dams/Cross-Sectional Area of Base)+((Bending Moment*Distance from Centroidal)/Moment of Inertia of Horizontal Section)

Can the Minimum Intensity in horizontal plane on Buttress Dam be negative?

Yes, the Minimum Intensity in horizontal plane on Buttress Dam, measured in Pressure can be negative.

Which unit is used to measure Minimum Intensity in horizontal plane on Buttress Dam?

Minimum Intensity in horizontal plane on Buttress Dam is usually measured using the Pascal[Pa] for Pressure. Kilopascal[Pa], Bar[Pa], Pound Per Square Inch[Pa] are the few other units in which Minimum Intensity in horizontal plane on Buttress Dam can be measured.

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Minimum Intensity in horizontal plane on Buttress Dam Formula

​GoMaximum Intensity of Vertical Force in horizontal plane on Buttress Dam Formula

Minimum Intensity in horizontal plane on Buttress Dam Example

Minimum Intensity in horizontal plane on Buttress Dam Solution

Minimum Intensity in horizontal plane on Buttress Dam Formula Elements

Other Formulas to find Intensity of Normal Stress

Other formulas in Buttress Dams using law of Trapezoid category

How to Evaluate Minimum Intensity in horizontal plane on Buttress Dam?

FAQs on Minimum Intensity in horizontal plane on Buttress Dam

Variable Name

GoMaximum Intensity of Vertical Force in horizontal plane on Buttress Dam Formula