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

✖Load on Buttress Dams here specifies the vertical load acting on the member.ⓘ Load on Buttress Dams [p]			+10% -10%
✖Intensity of Normal Stress on Horizontal plane is the ratio of normal force and area.ⓘ Intensity of Normal Stress [σ_i]			+10% -10%
✖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.ⓘ Bending Moment [M_b]			+10% -10%
✖Distance from Centroidal is the average distance between all points and the central point.ⓘ Distance from Centroidal [Y_t]			+10% -10%
✖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.ⓘ Moment of Inertia of Horizontal Section [I_H]			+10% -10%

✖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.ⓘ Sectional Area of Base for Maximum Intensity in horizontal plane on Buttress Dam [A_cs]

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Formula

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

Formula

`"A"_{"cs"} = "p"/("σ"_{"i"}-(("M"_{"b"}*"Y"_{"t"})/"I"_{"H"}))`

Example

`"13.00444m²"="15kN"/("1200Pa"-(("53N*m"*"20.2m")/"23m⁴"))`

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

STEP 0: Pre-Calculation Summary

Formula Used

Cross-Sectional Area of Base = Load on Buttress Dams/(Intensity of Normal Stress-((Bending Moment*Distance from Centroidal)/Moment of Inertia of Horizontal Section))
A_cs = p/(σ_i-((M_b*Y_t)/I_H))
This formula uses 6 Variables

Variables Used

Cross-Sectional Area of Base - (Measured in Square Meter) - 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.
Load on Buttress Dams - (Measured in Newton) - Load on Buttress Dams here specifies the vertical load acting on the member.
Intensity of Normal Stress - (Measured in Pascal) - Intensity of Normal Stress on Horizontal plane is the ratio of normal force and area.
Bending Moment - (Measured in Newton Meter) - 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.
Distance from Centroidal - (Measured in Meter) - Distance from Centroidal is the average distance between all points and the central point.
Moment of Inertia of Horizontal Section - (Measured in Meter⁴) - 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.

STEP 1: Convert Input(s) to Base Unit

Load on Buttress Dams: 15 Kilonewton --> 15000 Newton (Check conversion here)
Intensity of Normal Stress: 1200 Pascal --> 1200 Pascal No Conversion Required
Bending Moment: 53 Newton Meter --> 53 Newton Meter No Conversion Required
Distance from Centroidal: 20.2 Meter --> 20.2 Meter No Conversion Required
Moment of Inertia of Horizontal Section: 23 Meter⁴ --> 23 Meter⁴ No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_cs = p/(σ_i-((M_b*Y_t)/I_H)) --> 15000/(1200-((53*20.2)/23))

Evaluating ... ...

A_cs = 13.0044403567363

STEP 3: Convert Result to Output's Unit

13.0044403567363 Square Meter --> No Conversion Required

FINAL ANSWER

13.0044403567363 ≈ 13.00444 Square Meter <-- Cross-Sectional Area of Base

(Calculation completed in 00.004 seconds)

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Home » Engineering » Civil » Hydraulics and Waterworks » Dams » Buttress Dams » Buttress Dams using law of Trapezoid » Sectional Area of Base for Maximum Intensity in horizontal plane on Buttress Dam

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< 11 Buttress Dams using law of Trapezoid Calculators

Moment for Minimum Intensity in horizontal plane on Buttress Dam

Go 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

Moment of Buttress dam in horizontal plane using stress

Go 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

Moment for Maximum Intensity in horizontal plane on Buttress Dam

Go 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

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

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

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

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

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

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

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

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

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

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

Total Vertical Load for Minimum Intensity in horizontal plane on Buttress Dam

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

Maximum Intensity of Vertical Force in horizontal plane on Buttress Dam

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

Minimum Intensity in horizontal plane on Buttress Dam

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

Sectional Area of Base for Maximum Intensity in horizontal plane on Buttress Dam 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))
A_cs = p/(σ_i-((M_b*Y_t)/I_H))

What is Buttress Dam ?

A buttress dam or hollow dam is a dam with a solid, water-tight upstream side that is supported at intervals on the downstream side by a series of buttresses or supports. The dam wall may be straight or curved. Most buttress dams are made of reinforced concrete and are heavy, pushing the dam into the ground.

How to Calculate Sectional Area of Base for Maximum Intensity in horizontal plane on Buttress Dam?

Sectional Area of Base for Maximum Intensity in horizontal plane on Buttress Dam calculator 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 calculate the Cross-Sectional Area of Base, The Sectional Area of Base for Maximum 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 calculate Sectional Area of Base for Maximum Intensity in horizontal plane on Buttress Dam using this online calculator? To use this online calculator for Sectional Area of Base for Maximum 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. Here is how the Sectional Area of Base for Maximum Intensity in horizontal plane on Buttress Dam calculation can be explained with given input values -> 13.00444 = 15000/(1200-((53*20.2)/23)).

FAQ

What is Sectional Area of Base for Maximum Intensity in horizontal plane on Buttress Dam?

The Sectional Area of Base for Maximum 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 and is represented as A_cs = p/(σ_i-((M_b*Y_t)/I_H)) or Cross-Sectional Area of Base = Load on Buttress Dams/(Intensity of Normal Stress-((Bending Moment*Distance from Centroidal)/Moment of Inertia of Horizontal Section)). Load on Buttress Dams here specifies the vertical load acting on the member, Intensity of Normal Stress on Horizontal plane is the ratio of normal force and area, 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, Distance from Centroidal is the average distance between all points and the central point & 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.

How to calculate Sectional Area of Base for Maximum Intensity in horizontal plane on Buttress Dam?

The Sectional Area of Base for Maximum 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 is calculated using 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 calculate Sectional Area of Base for Maximum Intensity in horizontal plane on Buttress Dam, you need 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). With our tool, you need to enter the respective value for Load on Buttress Dams, Intensity of Normal Stress, Bending Moment, Distance from Centroidal & Moment of Inertia of Horizontal Section and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Cross-Sectional Area of Base?

In this formula, Cross-Sectional Area of Base uses Load on Buttress Dams, Intensity of Normal Stress, Bending Moment, Distance from Centroidal & Moment of Inertia of Horizontal Section. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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