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Isolated Vertical Load given Moment Formula

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Vertical Load on Member here specifies the vertical load acting on the member. Check FAQs

L Vertical = \frac{M}{0.25 \cdot \exp (- \frac{x}{l}) \cdot (\sin (\frac{x}{l}) - \cos (\frac{x}{l}))}

L_Vertical - Vertical Load on Member?M - Bending Moment?x - Distance from Load?l - Characteristic Length?

Isolated Vertical Load given Moment Example

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Here is how the Isolated Vertical Load given Moment equation looks like with Values.

Here is how the Isolated Vertical Load given Moment equation looks like with Units.

Here is how the Isolated Vertical Load given Moment equation looks like.

42.926 = \frac{1.38}{0.25 \cdot \exp (- \frac{2.2}{2.1}) \cdot (\sin (\frac{2.2}{2.1}) - \cos (\frac{2.2}{2.1}))}

42.926kN = \frac{1.38N*m}{0.25 \cdot \exp (- \frac{2.2m}{2.1m}) \cdot (\sin (\frac{2.2m}{2.1m}) - \cos (\frac{2.2m}{2.1m}))}

42.926 = \frac{1.38}{0.25 \cdot \exp (- \frac{2.2}{2.1}) \cdot (\sin (\frac{2.2}{2.1}) - \cos (\frac{2.2}{2.1}))}

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Isolated Vertical Load given Moment Solution

Follow our step by step solution on how to calculate Isolated Vertical Load given Moment?

FIRST Step Consider the formula

L Vertical = \frac{M}{0.25 \cdot \exp (- \frac{x}{l}) \cdot (\sin (\frac{x}{l}) - \cos (\frac{x}{l}))}

Next Step Substitute values of Variables

∴

L Vertical = \frac{1.38N*m}{0.25 \cdot \exp (- \frac{2.2m}{2.1m}) \cdot (\sin (\frac{2.2m}{2.1m}) - \cos (\frac{2.2m}{2.1m}))}

Next Step Prepare to Evaluate

∴

L Vertical = \frac{1.38}{0.25 \cdot \exp (- \frac{2.2}{2.1}) \cdot (\sin (\frac{2.2}{2.1}) - \cos (\frac{2.2}{2.1}))}

Next Step Evaluate

∴

L Vertical = 42926.000957455N

Next Step Convert to Output's Unit

∴

L Vertical = 42.926000957455kN

LAST Step Rounding Answer

∴

L Vertical = 42.926kN

Isolated Vertical Load given Moment Formula Elements

Variables

Functions

Vertical Load on Member

Vertical Load on Member here specifies the vertical load acting on the member.

Symbol: L_Vertical

Measurement: ForceUnit: kN

Note: Value can be positive or negative.

Formulas to find Vertical Load on Member

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

Measurement: Moment of ForceUnit: N*m

Note: Value can be positive or negative.

Formulas to find Bending Moment

Distance from Load

Distance from Load here refers to the distance from the vertical load to the point considered.

Symbol: x

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Distance from Load

Characteristic Length

Characteristic length specifies the length of the rail which is defined as ratio of stiffness and track modulus.

Symbol: l

Measurement: LengthUnit: m

Note: Value can be positive or negative.

Formulas to find Characteristic Length

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

exp

n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable.

Syntax: exp(Number)

Other formulas in Vertical Loads category

Go Bending Moment on Rail

M = 0.25 \cdot L Vertical \cdot \exp (- \frac{x}{l}) \cdot (\sin (\frac{x}{l}) - \cos (\frac{x}{l}))

Go Stress in Rail Head

S h = \frac{M}{Z c}

Go Stress in Rail Foot

S h = \frac{M}{Z t}

Go Dynamic Overload at Joints

F = F a + 0.1188 \cdot V t \cdot \sqrt{w}

How to Evaluate Isolated Vertical Load given Moment?

Isolated Vertical Load given Moment evaluator uses Vertical Load on Member = Bending Moment/(0.25*exp(-Distance from Load/Characteristic Length)*(sin(Distance from Load/Characteristic Length)-cos(Distance from Load/Characteristic Length))) to evaluate the Vertical Load on Member, Isolated Vertical Load given Moment is defined as vertical load which caused bending or flexural stress on rail. theory of stresses in rails takes into account elastic nature of supports. Vertical Load on Member is denoted by L_Vertical symbol.

How to evaluate Isolated Vertical Load given Moment using this online evaluator? To use this online evaluator for Isolated Vertical Load given Moment, enter Bending Moment (M), Distance from Load (x) & Characteristic Length (l) and hit the calculate button.

FAQs on Isolated Vertical Load given Moment

What is the formula to find Isolated Vertical Load given Moment?

The formula of Isolated Vertical Load given Moment is expressed as Vertical Load on Member = Bending Moment/(0.25*exp(-Distance from Load/Characteristic Length)*(sin(Distance from Load/Characteristic Length)-cos(Distance from Load/Characteristic Length))). Here is an example- 0.042926 = 1.38/(0.25*exp(-2.2/2.1)*(sin(2.2/2.1)-cos(2.2/2.1))).

How to calculate Isolated Vertical Load given Moment?

With Bending Moment (M), Distance from Load (x) & Characteristic Length (l) we can find Isolated Vertical Load given Moment using the formula - Vertical Load on Member = Bending Moment/(0.25*exp(-Distance from Load/Characteristic Length)*(sin(Distance from Load/Characteristic Length)-cos(Distance from Load/Characteristic Length))). This formula also uses Sine (sin)Cosine (cos), Exponential Growth (exp) function(s).

Can the Isolated Vertical Load given Moment be negative?

Yes, the Isolated Vertical Load given Moment, measured in Force can be negative.

Which unit is used to measure Isolated Vertical Load given Moment?

Isolated Vertical Load given Moment is usually measured using the Kilonewton[kN] for Force. Newton[kN], Exanewton[kN], Meganewton[kN] are the few other units in which Isolated Vertical Load given Moment can be measured.

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Isolated Vertical Load given Moment Formula

Isolated Vertical Load given Moment Example

Isolated Vertical Load given Moment Solution

Isolated Vertical Load given Moment Formula Elements

Other formulas in Vertical Loads category

How to Evaluate Isolated Vertical Load given Moment?

FAQs on Isolated Vertical Load given Moment

Variable Name