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

STEP 0: Pre-Calculation Summary
Formula Used
Load on Buttress Dams = (Intensity of Normal Stress+((Bending Moment*Distance from Centroidal)/Moment of Inertia of Horizontal Section))*Cross-Sectional Area of Base
p = (σi+((Mb*Yt)/IH))*Acs
This formula uses 6 Variables
Variables Used
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.
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
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
Cross-Sectional Area of Base: 13 Square Meter --> 13 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
p = (σi+((Mb*Yt)/IH))*Acs --> (1200+((53*20.2)/23))*13
Evaluating ... ...
p = 16205.1217391304
STEP 3: Convert Result to Output's Unit
16205.1217391304 Newton -->16.2051217391304 Kilonewton (Check conversion ​here)
FINAL ANSWER
16.2051217391304 16.20512 Kilonewton <-- Load on Buttress Dams
(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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Birsa Institute of Technology (BIT), Sindri
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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)

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

​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
p = (σi+((Mb*Yt)/IH))*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 Total Vertical Load for Minimum Intensity in horizontal plane on Buttress Dam?

Total Vertical Load for Minimum Intensity in horizontal plane on Buttress Dam calculator uses Load on Buttress Dams = (Intensity of Normal Stress+((Bending Moment*Distance from Centroidal)/Moment of Inertia of Horizontal Section))*Cross-Sectional Area of Base to calculate the Load on Buttress Dams, The Total Vertical Load for Minimum Intensity in horizontal plane on Buttress Dam is defined as those forces that are applied perpendicular to the roof or floor system. These loads are in addition to the self weight of the structure which could include the weight of the floor/roof decking and joists, beams, bearing walls, columns, bracing etc. Load on Buttress Dams is denoted by p symbol.

How to calculate Total Vertical Load for Minimum Intensity in horizontal plane on Buttress Dam using this online calculator? To use this online calculator for Total Vertical Load for Minimum Intensity in horizontal plane on Buttress Dam, enter Intensity of Normal Stress i), Bending Moment (Mb), Distance from Centroidal (Yt), Moment of Inertia of Horizontal Section (IH) & Cross-Sectional Area of Base (Acs) and hit the calculate button. Here is how the Total Vertical Load for Minimum Intensity in horizontal plane on Buttress Dam calculation can be explained with given input values -> 0.016205 = (1200+((53*20.2)/23))*13.

FAQ

What is Total Vertical Load for Minimum Intensity in horizontal plane on Buttress Dam?
The Total Vertical Load for Minimum Intensity in horizontal plane on Buttress Dam is defined as those forces that are applied perpendicular to the roof or floor system. These loads are in addition to the self weight of the structure which could include the weight of the floor/roof decking and joists, beams, bearing walls, columns, bracing etc and is represented as p = (σi+((Mb*Yt)/IH))*Acs or Load on Buttress Dams = (Intensity of Normal Stress+((Bending Moment*Distance from Centroidal)/Moment of Inertia of Horizontal Section))*Cross-Sectional Area of Base. 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 & 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 Total Vertical Load for Minimum Intensity in horizontal plane on Buttress Dam?
The Total Vertical Load for Minimum Intensity in horizontal plane on Buttress Dam is defined as those forces that are applied perpendicular to the roof or floor system. These loads are in addition to the self weight of the structure which could include the weight of the floor/roof decking and joists, beams, bearing walls, columns, bracing etc is calculated using Load on Buttress Dams = (Intensity of Normal Stress+((Bending Moment*Distance from Centroidal)/Moment of Inertia of Horizontal Section))*Cross-Sectional Area of Base. To calculate Total Vertical Load for Minimum Intensity in horizontal plane on Buttress Dam, you need Intensity of Normal Stress i), Bending Moment (Mb), Distance from Centroidal (Yt), Moment of Inertia of Horizontal Section (IH) & Cross-Sectional Area of Base (Acs). With our tool, you need to enter the respective value for Intensity of Normal Stress, Bending Moment, Distance from Centroidal, Moment of Inertia of Horizontal Section & 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.
How many ways are there to calculate Load on Buttress Dams?
In this formula, Load on Buttress Dams uses Intensity of Normal Stress, Bending Moment, Distance from Centroidal, Moment of Inertia of Horizontal Section & Cross-Sectional Area of Base. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Load on Buttress Dams = (Intensity of Normal Stress-((Bending Moment*Distance from Centroidal)/Moment of Inertia of Horizontal Section))*Cross-Sectional Area of Base
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