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

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

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Load on Buttress Dams here specifies the vertical load acting on the member. Check FAQs

p = (σ i - (\frac{M b \cdot Y t}{I H})) \cdot A cs

p - Load on Buttress Dams?σ_i - Intensity of Normal Stress?M_b - Bending Moment?Y_t - Distance from Centroidal?I_H - Moment of Inertia of Horizontal Section?A_cs - Cross-Sectional Area of Base?

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

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Here is how the Total Vertical Load for Maximum Intensity in horizontal plane on Buttress Dam equation looks like with Values.

Here is how the Total Vertical Load for Maximum Intensity in horizontal plane on Buttress Dam equation looks like with Units.

Here is how the Total Vertical Load for Maximum Intensity in horizontal plane on Buttress Dam equation looks like.

14.9949 = (1200 - (\frac{53 \cdot 20.2}{23})) \cdot 13

14.9949kN = (1200Pa - (\frac{53N*m \cdot 20.2m}{23m⁴})) \cdot 13m²

14.9949 = (1200 - (\frac{53 \cdot 20.2}{23})) \cdot 13

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

Follow our step by step solution on how to calculate Total Vertical Load for Maximum Intensity in horizontal plane on Buttress Dam?

FIRST Step Consider the formula

p = (σ i - (\frac{M b \cdot Y t}{I H})) \cdot A cs

Next Step Substitute values of Variables

∴

p = (1200Pa - (\frac{53N*m \cdot 20.2m}{23m⁴})) \cdot 13m²

Next Step Prepare to Evaluate

∴

p = (1200 - (\frac{53 \cdot 20.2}{23})) \cdot 13

Next Step Evaluate

∴

p = 14994.8782608696N

Next Step Convert to Output's Unit

∴

p = 14.9948782608696kN

LAST Step Rounding Answer

∴

p = 14.9949kN

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

Variables

Load on Buttress Dams

Load on Buttress Dams here specifies the vertical load acting on the member.

Symbol: p

Measurement: ForceUnit: kN

Note: Value can be positive or negative.

Formulas to find Load on Buttress Dams

Intensity of Normal Stress

Intensity of Normal Stress on Horizontal plane is the ratio of normal force and area.

Symbol: σ_i

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Intensity of Normal Stress

Bending Moment

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.

Symbol: M_b

Measurement: Moment of ForceUnit: N*m

Note: Value should be greater than 0.

Formulas to find Bending Moment

Distance from Centroidal

Distance from Centroidal is the average distance between all points and the central point.

Symbol: Y_t

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Distance from Centroidal

Moment of Inertia of Horizontal Section

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.

Symbol: I_H

Measurement: Second Moment of AreaUnit: m⁴

Note: Value can be positive or negative.

Formulas to find Moment of Inertia of Horizontal Section

Cross-Sectional Area of Base

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.

Symbol: A_cs

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Cross-Sectional Area of Base

Other Formulas to find Load on Buttress Dams

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

p = (σ i + (\frac{M b \cdot Y t}{I H})) \cdot A cs

Other formulas in Buttress Dams using law of Trapezoid category

Go Maximum Intensity of Vertical Force in horizontal plane on Buttress Dam

σ i = (\frac{p}{A cs}) + (\frac{M b \cdot Y t}{I H})

Go Sectional Area of Base for Maximum Intensity in horizontal plane on Buttress Dam

A cs = \frac{p}{σ i - (\frac{M b \cdot Y t}{I H})}

Go Moment for Maximum Intensity in horizontal plane on Buttress Dam

M = (σ - (\frac{p}{A cs})) \cdot \frac{I H}{Y t}

Go Distance from Centroid for Maximum Intensity in horizontal plane on Buttress Dam

Y t = (\frac{(σ i - (\frac{p}{A cs})) \cdot I H}{M b})

How to Evaluate Total Vertical Load for Maximum Intensity in horizontal plane on Buttress Dam?

Total Vertical Load for Maximum Intensity in horizontal plane on Buttress Dam evaluator 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 evaluate 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 evaluate Total Vertical Load for Maximum Intensity in horizontal plane on Buttress Dam using this online evaluator? To use this online evaluator 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.

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

What is the formula to find Total Vertical Load for Maximum Intensity in horizontal plane on Buttress Dam?

The formula of Total Vertical Load for Maximum Intensity in horizontal plane on Buttress Dam is expressed as Load on Buttress Dams = (Intensity of Normal Stress-((Bending Moment*Distance from Centroidal)/Moment of Inertia of Horizontal Section))*Cross-Sectional Area of Base. Here is an example- 0.014995 = (1200-((53*20.2)/23))*13.

How to calculate Total Vertical Load for Maximum Intensity in horizontal plane on Buttress Dam?

With 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) we can find Total Vertical Load for Maximum Intensity in horizontal plane on Buttress Dam using the 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.

What are the other ways to Calculate Load on Buttress Dams?

Here are the different ways to Calculate Load on Buttress Dams-

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

Can the Total Vertical Load for Maximum Intensity in horizontal plane on Buttress Dam be negative?

Yes, the Total Vertical Load for Maximum Intensity in horizontal plane on Buttress Dam, measured in Force can be negative.

Which unit is used to measure Total Vertical Load for Maximum Intensity in horizontal plane on Buttress Dam?

Total Vertical Load for Maximum Intensity in horizontal plane on Buttress Dam is usually measured using the Kilonewton[kN] for Force. Newton[kN], Exanewton[kN], Meganewton[kN] are the few other units in which Total Vertical Load for Maximum Intensity in horizontal plane on Buttress Dam can be measured.

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

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

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

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

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

Other Formulas to find Load on Buttress Dams

Other formulas in Buttress Dams using law of Trapezoid category

How to Evaluate Total Vertical Load for Maximum Intensity in horizontal plane on Buttress Dam?

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

Variable Name

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