Total Vertical Load for Maximum Intensity in horizontal plane on Buttress Dam Calculator

✖Intensity of Normal Stress on Horizontal plane is the ratio of normal force and area.ⓘ Intensity of Normal Stress [σ_i]			+10% -10%
✖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%
✖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 of Horizontal Section [I_H]			+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%

✖Load on Buttress Dams here specifies the vertical load acting on the member.ⓘ Total Vertical Load for Maximum Intensity in horizontal plane on Buttress Dam [p]

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Formula

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Total Vertical Load for Maximum Intensity in horizontal plane on Buttress Dam

Formula

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

Example

`"14.99488kN"=("1200Pa"-(("53N*m"*"20.2m")/"23m⁴"))*"13m²"`

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Total Vertical Load for Maximum 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 = (σ_i-((M_b*Y_t)/I_H))*A_cs
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 = (σ_i-((M_b*Y_t)/I_H))*A_cs --> (1200-((53*20.2)/23))*13

Evaluating ... ...

p = 14994.8782608696

STEP 3: Convert Result to Output's Unit

14994.8782608696 Newton -->14.9948782608696 Kilonewton (Check conversion here)

FINAL ANSWER

14.9948782608696 ≈ 14.99488 Kilonewton <-- Load on Buttress Dams

(Calculation completed in 00.020 seconds)

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Home » Engineering » Civil » Hydraulics and Waterworks » Dams » Buttress Dams » Buttress Dams using law of Trapezoid » Total Vertical Load for Maximum Intensity in horizontal plane on Buttress Dam

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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)

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

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 = (σ_i-((M_b*Y_t)/I_H))*A_cs

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 Maximum Intensity in horizontal plane on Buttress Dam?

Total Vertical Load for Maximum 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 Maximum 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 Maximum Intensity in horizontal plane on Buttress Dam using this online calculator? To use this online calculator for Total Vertical Load for Maximum Intensity in horizontal plane on Buttress Dam, enter Intensity of Normal Stress (σ_i), Bending Moment (M_b), Distance from Centroidal (Y_t), Moment of Inertia of Horizontal Section (I_H) & Cross-Sectional Area of Base (A_cs) and hit the calculate button. Here is how the Total Vertical Load for Maximum Intensity in horizontal plane on Buttress Dam calculation can be explained with given input values -> 0.014995 = (1200-((53*20.2)/23))*13.

FAQ

What is Total Vertical Load for Maximum Intensity in horizontal plane on Buttress Dam?

The Total Vertical Load for Maximum 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 = (σ_i-((M_b*Y_t)/I_H))*A_cs 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 Maximum Intensity in horizontal plane on Buttress Dam?

The Total Vertical Load for Maximum 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 Maximum Intensity in horizontal plane on Buttress Dam, you need Intensity of Normal Stress (σ_i), Bending Moment (M_b), Distance from Centroidal (Y_t), Moment of Inertia of Horizontal Section (I_H) & Cross-Sectional Area of Base (A_cs). 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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