Moment of Buttress dam in horizontal plane using stress Solution

STEP 0: Pre-Calculation Summary
Formula Used
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
M = (σ+(LVertical/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.
Vertical Load on Member - (Measured in Newton) - Vertical Load on Member 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)
Vertical Load on Member: 49 Kilonewton --> 49000 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+(LVertical/Acs))*IH/Yt --> (150000+(49000/13))*23/20.2
Evaluating ... ...
M = 175083.77760853
STEP 3: Convert Result to Output's Unit
175083.77760853 Newton Meter -->175.08377760853 Kilonewton Meter (Check conversion here)
FINAL ANSWER
175.08377760853 175.0838 Kilonewton Meter <-- Moment of Buttress Dams
(Calculation completed in 00.004 seconds)

Credits

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National Institute of Technology Karnataka (NITK), Surathkal
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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 Buttress dam in horizontal plane using stress Formula

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
M = (σ+(LVertical/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 of Buttress dam in horizontal plane using stress?

Moment of Buttress dam in horizontal plane using stress calculator uses 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 to calculate the Moment of Buttress Dams, The Moment of Buttress dam in horizontal plane using stress 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 Buttress Dams is denoted by M symbol.

How to calculate Moment of Buttress dam in horizontal plane using stress using this online calculator? To use this online calculator for Moment of Buttress dam in horizontal plane using stress, enter Stress on Buttress Dams (σ), Vertical Load on Member (LVertical), 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 of Buttress dam in horizontal plane using stress calculation can be explained with given input values -> 0.175084 = (150000+(49000/13))*23/20.2.

FAQ

What is Moment of Buttress dam in horizontal plane using stress?
The Moment of Buttress dam in horizontal plane using stress 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 M = (σ+(LVertical/Acs))*IH/Yt or 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. 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, Vertical Load on Member 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 of Buttress dam in horizontal plane using stress?
The Moment of Buttress dam in horizontal plane using stress 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 Buttress Dams = (Stress on Buttress Dams+(Vertical Load on Member/Cross-Sectional Area of Base))*Moment of Inertia of Horizontal Section/Distance from Centroidal. To calculate Moment of Buttress dam in horizontal plane using stress, you need Stress on Buttress Dams (σ), Vertical Load on Member (LVertical), 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, Vertical Load on Member, 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, Vertical Load on Member, 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-(Load on Buttress Dams/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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