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

✖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%
✖Intensity of Normal Stress on Horizontal plane is the ratio of normal force and area.ⓘ Intensity of Normal Stress [σ_i]			+10% -10%
✖Load on Buttress Dams here specifies the vertical load acting on the member.ⓘ Load on Buttress Dams [p]			+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.ⓘ Cross-Sectional Area of Base [A_cs]			+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 for Minimum Intensity in horizontal plane on Buttress Dam [I_H]

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Formula

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

Formula

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

Example

`"23.19633m⁴"=(("53N*m"*"20.2m")/("1200Pa"-("15kN"/"13m²")))`

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
Intensity of Normal Stress - (Measured in Pascal) - Intensity of Normal Stress on Horizontal plane is the ratio of normal force and area.
Load on Buttress Dams - (Measured in Newton) - Load on Buttress Dams here specifies the vertical load acting on the member.
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.

STEP 1: Convert Input(s) to Base Unit

Bending Moment: 53 Newton Meter --> 53 Newton Meter No Conversion Required
Distance from Centroidal: 20.2 Meter --> 20.2 Meter No Conversion Required
Intensity of Normal Stress: 1200 Pascal --> 1200 Pascal No Conversion Required
Load on Buttress Dams: 15 Kilonewton --> 15000 Newton (Check conversion here)
Cross-Sectional Area of Base: 13 Square Meter --> 13 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

I_H = ((M_b*Y_t)/(σ_i-(p/A_cs))) --> ((53*20.2)/(1200-(15000/13)))

Evaluating ... ...

I_H = 23.1963333333333

STEP 3: Convert Result to Output's Unit

23.1963333333333 Meter⁴ --> No Conversion Required

FINAL ANSWER

23.1963333333333 ≈ 23.19633 Meter⁴ <-- Moment of Inertia of Horizontal Section

(Calculation completed in 00.004 seconds)

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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)

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

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

Moment of Inertia for Minimum Intensity in horizontal plane on Buttress Dam calculator 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 calculate 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 calculate Moment of Inertia for Minimum Intensity in horizontal plane on Buttress Dam using this online calculator? To use this online calculator 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. Here is how the Moment of Inertia for Minimum Intensity in horizontal plane on Buttress Dam calculation can be explained with given input values -> 23.19633 = ((53*20.2)/(1200-(15000/13))).

FAQ

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

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

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

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

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