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Sectional Area of base for Minimum Intensity in horizontal plane on Buttress Dam Formula

GoSectional Area of Base for Maximum Intensity in horizontal plane on Buttress Dam Formula

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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. Check FAQs

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

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

Sectional Area of base for Minimum Intensity in horizontal plane on Buttress Dam Example

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

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

Here is how the Sectional Area of base for Minimum Intensity in horizontal plane on Buttress Dam equation looks like.

12.0332 = \frac{15}{1200 + (\frac{53 \cdot 20.2}{23})}

12.0332m² = \frac{15kN}{1200Pa + (\frac{53N*m \cdot 20.2m}{23m⁴})}

12.0332 = \frac{15}{1200 + (\frac{53 \cdot 20.2}{23})}

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Sectional Area of base for Minimum Intensity in horizontal plane on Buttress Dam Solution

Follow our step by step solution on how to calculate Sectional Area of base for Minimum Intensity in horizontal plane on Buttress Dam?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A cs = \frac{15kN}{1200Pa + (\frac{53N*m \cdot 20.2m}{23m⁴})}

Next Step Convert Units

∴

A cs = \frac{15000N}{1200Pa + (\frac{53N*m \cdot 20.2m}{23m⁴})}

Next Step Prepare to Evaluate

∴

A cs = \frac{15000}{1200 + (\frac{53 \cdot 20.2}{23})}

Next Step Evaluate

∴

A cs = 12.0332326494737m²

LAST Step Rounding Answer

∴

A cs = 12.0332m²

Sectional Area of base for Minimum Intensity in horizontal plane on Buttress Dam Formula Elements

Variables

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

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

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

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 Cross-Sectional Area of Base

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})}

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 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 Sectional Area of base for Minimum Intensity in horizontal plane on Buttress Dam?

Sectional Area of base for Minimum Intensity in horizontal plane on Buttress Dam evaluator uses Cross-Sectional Area of Base = Load on Buttress Dams/(Intensity of Normal Stress+((Bending Moment*Distance from Centroidal)/Moment of Inertia of Horizontal Section)) to evaluate the Cross-Sectional Area of Base, The Sectional Area of base for Minimum Intensity in horizontal plane on Buttress Dam is defined as the area of a two-dimensional shape that is obtained when a three-dimensional object such as a cylinder is sliced perpendicular to some specified axis at a point. Cross-Sectional Area of Base is denoted by A_cs symbol.

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

FAQs on Sectional Area of base for Minimum Intensity in horizontal plane on Buttress Dam

What is the formula to find Sectional Area of base for Minimum Intensity in horizontal plane on Buttress Dam?

The formula of Sectional Area of base for Minimum Intensity in horizontal plane on Buttress Dam is expressed as Cross-Sectional Area of Base = Load on Buttress Dams/(Intensity of Normal Stress+((Bending Moment*Distance from Centroidal)/Moment of Inertia of Horizontal Section)). Here is an example- 12.03323 = 15000/(1200+((53*20.2)/23)).

How to calculate Sectional Area of base for Minimum Intensity in horizontal plane on Buttress Dam?

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

What are the other ways to Calculate Cross-Sectional Area of Base?

Here are the different ways to Calculate Cross-Sectional Area of Base-

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

Can the Sectional Area of base for Minimum Intensity in horizontal plane on Buttress Dam be negative?

No, the Sectional Area of base for Minimum Intensity in horizontal plane on Buttress Dam, measured in Area cannot be negative.

Which unit is used to measure Sectional Area of base for Minimum Intensity in horizontal plane on Buttress Dam?

Sectional Area of base for Minimum Intensity in horizontal plane on Buttress Dam is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Sectional Area of base for Minimum Intensity in horizontal plane on Buttress Dam can be measured.

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Sectional Area of base for Minimum Intensity in horizontal plane on Buttress Dam Formula

​GoSectional Area of Base for Maximum Intensity in horizontal plane on Buttress Dam Formula

Sectional Area of base for Minimum Intensity in horizontal plane on Buttress Dam Example

Sectional Area of base for Minimum Intensity in horizontal plane on Buttress Dam Solution

Sectional Area of base for Minimum Intensity in horizontal plane on Buttress Dam Formula Elements

Other Formulas to find Cross-Sectional Area of Base

Other formulas in Buttress Dams using law of Trapezoid category

How to Evaluate Sectional Area of base for Minimum Intensity in horizontal plane on Buttress Dam?

FAQs on Sectional Area of base for Minimum Intensity in horizontal plane on Buttress Dam

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GoSectional Area of Base for Maximum Intensity in horizontal plane on Buttress Dam Formula