Minimum Intensity in horizontal plane on Buttress Dam Calculator

✖Load on Buttress Dams here specifies the vertical load acting on the member.ⓘ Load on Buttress Dams [p]			+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%
✖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%

✖Intensity of Normal Stress on Horizontal plane is the ratio of normal force and area.ⓘ Minimum Intensity in horizontal plane on Buttress Dam [σ_i]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Buttress Dams Formulas PDF PDF Image

Minimum Intensity in horizontal plane on Buttress Dam Solution

STEP 0: Pre-Calculation Summary

Formula Used

Intensity of Normal Stress = (Load on Buttress Dams/Cross-Sectional Area of Base)-((Bending Moment*Distance from Centroidal)/Moment of Inertia of Horizontal Section)
σ_i = (p/A_cs)-((M_b*Y_t)/I_H)
This formula uses 6 Variables

Variables Used

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.
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.

STEP 1: Convert Input(s) to Base Unit

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
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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

σ_i = (p/A_cs)-((M_b*Y_t)/I_H) --> (15000/13)-((53*20.2)/23)

Evaluating ... ...

σ_i = 1107.2983277592

STEP 3: Convert Result to Output's Unit

1107.2983277592 Pascal --> No Conversion Required

FINAL ANSWER

1107.2983277592 ≈ 1107.298 Pascal <-- Intensity of Normal Stress

(Calculation completed in 00.004 seconds)

You are here -

Home » Engineering » Civil » Hydraulics and Waterworks » Dams » Buttress Dams » Buttress Dams using law of Trapezoid » Minimum Intensity in horizontal plane on Buttress Dam

Credits

Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

Rithik Agrawal has created this Calculator and 1300+ more calculators!

Verified by M Naveen

National Institute of Technology (NIT), Warangal

M Naveen has verified this Calculator and 900+ more calculators!

< 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)

Minimum Intensity in horizontal plane on Buttress Dam Formula

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)
σ_i = (p/A_cs)-((M_b*Y_t)/I_H)

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 Minimum Intensity in horizontal plane on Buttress Dam?

Minimum Intensity in horizontal plane on Buttress Dam calculator uses Intensity of Normal Stress = (Load on Buttress Dams/Cross-Sectional Area of Base)-((Bending Moment*Distance from Centroidal)/Moment of Inertia of Horizontal Section) to calculate the Intensity of Normal Stress, The Minimum Intensity in horizontal plane on Buttress Dam formula is defined as the maximum negative stress on the extreme fiber. Intensity of Normal Stress is denoted by σ_i symbol.

How to calculate Minimum Intensity in horizontal plane on Buttress Dam using this online calculator? To use this online calculator for Minimum Intensity in horizontal plane on Buttress Dam, enter Load on Buttress Dams (p), Cross-Sectional Area of Base (A_cs), Bending Moment (M_b), Distance from Centroidal (Y_t) & Moment of Inertia of Horizontal Section (I_H) and hit the calculate button. Here is how the Minimum Intensity in horizontal plane on Buttress Dam calculation can be explained with given input values -> 1107.298 = (15000/13)-((53*20.2)/23).

FAQ

What is Minimum Intensity in horizontal plane on Buttress Dam?

The Minimum Intensity in horizontal plane on Buttress Dam formula is defined as the maximum negative stress on the extreme fiber and is represented as σ_i = (p/A_cs)-((M_b*Y_t)/I_H) or Intensity of Normal Stress = (Load on Buttress Dams/Cross-Sectional Area of Base)-((Bending Moment*Distance from Centroidal)/Moment of Inertia of Horizontal Section). 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, 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.

How to calculate Minimum Intensity in horizontal plane on Buttress Dam?

The Minimum Intensity in horizontal plane on Buttress Dam formula is defined as the maximum negative stress on the extreme fiber is calculated using Intensity of Normal Stress = (Load on Buttress Dams/Cross-Sectional Area of Base)-((Bending Moment*Distance from Centroidal)/Moment of Inertia of Horizontal Section). To calculate Minimum Intensity in horizontal plane on Buttress Dam, you need Load on Buttress Dams (p), Cross-Sectional Area of Base (A_cs), Bending Moment (M_b), Distance from Centroidal (Y_t) & Moment of Inertia of Horizontal Section (I_H). With our tool, you need to enter the respective value for Load on Buttress Dams, Cross-Sectional Area of Base, Bending Moment, Distance from Centroidal & Moment of Inertia of Horizontal Section 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 Intensity of Normal Stress?

In this formula, Intensity of Normal Stress uses Load on Buttress Dams, Cross-Sectional Area of Base, Bending Moment, Distance from Centroidal & Moment of Inertia of Horizontal Section. We can use 1 other way(s) to calculate the same, which is/are as follows -

Intensity of Normal Stress = (Load on Buttress Dams/Cross-Sectional Area of Base)+((Bending Moment*Distance from Centroidal)/Moment of Inertia of Horizontal Section)

Home

FREE PDFs

🔍 Search