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)))
IH = ((Mb*Yt)/(σi-(p/Acs)))
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
IH = ((Mb*Yt)/(σi-(p/Acs))) --> ((53*20.2)/(1200-(15000/13)))
Evaluating ... ...
IH = 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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Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
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Buttress Dams using law of Trapezoid Calculators

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

​LaTeX ​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)))
IH = ((Mb*Yt)/(σi-(p/Acs)))

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 IH 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 (Mb), Distance from Centroidal (Yt), Intensity of Normal Stress i), Load on Buttress Dams (p) & Cross-Sectional Area of Base (Acs) 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 IH = ((Mb*Yt)/(σi-(p/Acs))) 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 (Mb), Distance from Centroidal (Yt), Intensity of Normal Stress i), Load on Buttress Dams (p) & Cross-Sectional Area of Base (Acs). 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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