Moment for Maximum Intensity in horizontal plane on Buttress Dam Solution

STEP 0: Pre-Calculation Summary
Formula Used
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
M = (σ-(p/Acs))*IH/Yt
This formula uses 6 Variables
Variables Used
Moment of Buttress Dams - (Measured in Newton Meter) - Moment of Buttress Dams is the reaction induced in a structural element when an external force or moment is applied to the element, causing the element to bend.
Stress on Buttress Dams - (Measured in Pascal) - Stress on Buttress Dams applied to a material is force per unit area applied to material. The maximum stress a material can stand before it breaks is called breaking stress or ultimate tensile stress.
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.
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.
Distance from Centroidal - (Measured in Meter) - Distance from Centroidal is the average distance between all points and the central point.
STEP 1: Convert Input(s) to Base Unit
Stress on Buttress Dams: 150 Kilopascal --> 150000 Pascal (Check conversion ​here)
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
Moment of Inertia of Horizontal Section: 23 Meter⁴ --> 23 Meter⁴ No Conversion Required
Distance from Centroidal: 20.2 Meter --> 20.2 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
M = (σ-(p/Acs))*IH/Yt --> (150000-(15000/13))*23/20.2
Evaluating ... ...
M = 169478.293983244
STEP 3: Convert Result to Output's Unit
169478.293983244 Newton Meter -->169.478293983244 Kilonewton Meter (Check conversion ​here)
FINAL ANSWER
169.478293983244 169.4783 Kilonewton Meter <-- Moment of Buttress Dams
(Calculation completed in 00.007 seconds)

Credits

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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 for Maximum Intensity in horizontal plane on Buttress Dam Formula

​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
M = (σ-(p/Acs))*IH/Yt

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 for Maximum Intensity in horizontal plane on Buttress Dam?

Moment for Maximum Intensity in horizontal plane on Buttress Dam calculator uses 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 to calculate the Moment of Buttress Dams, The Moment for Maximum Intensity in horizontal plane on Buttress Dam is defined as the bending moment acting on the dam. Moment of Buttress Dams is denoted by M symbol.

How to calculate Moment for Maximum Intensity in horizontal plane on Buttress Dam using this online calculator? To use this online calculator for Moment for Maximum Intensity in horizontal plane on Buttress Dam, enter Stress on Buttress Dams (σ), Load on Buttress Dams (p), Cross-Sectional Area of Base (Acs), Moment of Inertia of Horizontal Section (IH) & Distance from Centroidal (Yt) and hit the calculate button. Here is how the Moment for Maximum Intensity in horizontal plane on Buttress Dam calculation can be explained with given input values -> 0.169478 = (150000-(15000/13))*23/20.2.

FAQ

What is Moment for Maximum Intensity in horizontal plane on Buttress Dam?
The Moment for Maximum Intensity in horizontal plane on Buttress Dam is defined as the bending moment acting on the dam and is represented as M = (σ-(p/Acs))*IH/Yt or 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. Stress on Buttress Dams applied to a material is force per unit area applied to material. The maximum stress a material can stand before it breaks is called breaking stress or ultimate tensile stress, 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, 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 & Distance from Centroidal is the average distance between all points and the central point.
How to calculate Moment for Maximum Intensity in horizontal plane on Buttress Dam?
The Moment for Maximum Intensity in horizontal plane on Buttress Dam is defined as the bending moment acting on the dam is calculated using 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. To calculate Moment for Maximum Intensity in horizontal plane on Buttress Dam, you need Stress on Buttress Dams (σ), Load on Buttress Dams (p), Cross-Sectional Area of Base (Acs), Moment of Inertia of Horizontal Section (IH) & Distance from Centroidal (Yt). With our tool, you need to enter the respective value for Stress on Buttress Dams, Load on Buttress Dams, Cross-Sectional Area of Base, Moment of Inertia of Horizontal Section & Distance from Centroidal 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 Moment of Buttress Dams?
In this formula, Moment of Buttress Dams uses Stress on Buttress Dams, Load on Buttress Dams, Cross-Sectional Area of Base, Moment of Inertia of Horizontal Section & Distance from Centroidal. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • 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 Dams = (Stress on Buttress Dams-(Vertical Load on Member/Cross-Sectional Area of Base))*Moment of Inertia of Horizontal Section/Distance from Centroidal
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