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Load using Static Deflection (Shaft Fixed, Uniformly Distributed Load) Calculator

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Shaft Fixed at Both Ends Carrying a Uniformly Distributed Load General Shaft Shaft Subjected to a Number of Point Loads Uniformly Distributed Load Acting Over a Simply Supported Shaft

✖Static Deflection is the maximum displacement of an object from its equilibrium position during free transverse vibrations, indicating its flexibility and stiffness.ⓘ Static Deflection [δ]			+10% -10%
✖Young's Modulus is a measure of the stiffness of a solid material and is used to calculate the natural frequency of free transverse vibrations.ⓘ Young's Modulus [E]			+10% -10%
✖Moment of inertia of shaft is the measure of an object's resistance to changes in its rotation, influencing natural frequency of free transverse vibrations.ⓘ Moment of inertia of shaft [I_shaft]			+10% -10%
✖Length of Shaft is the distance from the axis of rotation to the point of maximum vibration amplitude in a transversely vibrating shaft.ⓘ Length of Shaft [L_shaft]			+10% -10%

✖Load per unit length is the force per unit length applied to a system, affecting its natural frequency of free transverse vibrations.ⓘ Load using Static Deflection (Shaft Fixed, Uniformly Distributed Load) [w]

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Load using Static Deflection (Shaft Fixed, Uniformly Distributed Load) Solution

STEP 0: Pre-Calculation Summary

Formula Used

Load per unit length = ((Static Deflection*384*Young's Modulus*Moment of inertia of shaft)/(Length of Shaft^4))
w = ((δ*384*E*I_shaft)/(L_shaft^4))
This formula uses 5 Variables

Variables Used

Load per unit length - Load per unit length is the force per unit length applied to a system, affecting its natural frequency of free transverse vibrations.
Static Deflection - (Measured in Meter) - Static Deflection is the maximum displacement of an object from its equilibrium position during free transverse vibrations, indicating its flexibility and stiffness.
Young's Modulus - (Measured in Newton per Meter) - Young's Modulus is a measure of the stiffness of a solid material and is used to calculate the natural frequency of free transverse vibrations.
Moment of inertia of shaft - (Measured in Kilogram Square Meter) - Moment of inertia of shaft is the measure of an object's resistance to changes in its rotation, influencing natural frequency of free transverse vibrations.
Length of Shaft - (Measured in Meter) - Length of Shaft is the distance from the axis of rotation to the point of maximum vibration amplitude in a transversely vibrating shaft.

STEP 1: Convert Input(s) to Base Unit

Static Deflection: 0.072 Meter --> 0.072 Meter No Conversion Required
Young's Modulus: 15 Newton per Meter --> 15 Newton per Meter No Conversion Required
Moment of inertia of shaft: 1.085522 Kilogram Square Meter --> 1.085522 Kilogram Square Meter No Conversion Required
Length of Shaft: 3.5 Meter --> 3.5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

w = ((δ*384*E*I_shaft)/(L_shaft^4)) --> ((0.072*384*15*1.085522)/(3.5^4))

Evaluating ... ...

w = 3.00000122508955

STEP 3: Convert Result to Output's Unit

3.00000122508955 --> No Conversion Required

FINAL ANSWER

3.00000122508955 ≈ 3.000001 <-- Load per unit length

(Calculation completed in 00.004 seconds)

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National Institute Of Technology (NIT), Hamirpur

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< Shaft Fixed at Both Ends Carrying a Uniformly Distributed Load Calculators

M.I of Shaft given Static Deflection for Fixed Shaft and Uniformly Distributed Load

LaTeX Go Moment of inertia of shaft = (Load per unit length*Length of Shaft^4)/(384*Young's Modulus*Static Deflection)

Circular Frequency given Static Deflection (Shaft Fixed, Uniformly Distributed Load)

LaTeX Go Natural Circular Frequency = (2*pi*0.571)/(sqrt(Static Deflection))

Natural Frequency given Static Deflection (Shaft Fixed, Uniformly Distributed Load)

LaTeX Go Frequency = 0.571/(sqrt(Static Deflection))

Static Deflection given Natural Frequency (Shaft Fixed, Uniformly Distributed Load)

LaTeX Go Static Deflection = (0.571/Frequency)^2

Load using Static Deflection (Shaft Fixed, Uniformly Distributed Load) Formula

LaTeX Go

Load per unit length = ((Static Deflection*384*Young's Modulus*Moment of inertia of shaft)/(Length of Shaft^4))
w = ((δ*384*E*I_shaft)/(L_shaft^4))

What is a Transverse Wave definition?

Transverse wave, motion in which all points on a wave oscillate along paths at right angles to the direction of the wave's advance. Surface ripples on water, seismic S (secondary) waves, and electromagnetic (e.g., radio and light) waves are examples of transverse waves.

How to Calculate Load using Static Deflection (Shaft Fixed, Uniformly Distributed Load)?

Load using Static Deflection (Shaft Fixed, Uniformly Distributed Load) calculator uses Load per unit length = ((Static Deflection*384*Young's Modulus*Moment of inertia of shaft)/(Length of Shaft^4)) to calculate the Load per unit length, Load using Static Deflection (Shaft Fixed, Uniformly Distributed Load) formula is defined as a measure of the load that a shaft can withstand when it is fixed at one end and subjected to a uniformly distributed load, providing insight into the shaft's ability to resist deformation and maintain its structural integrity. Load per unit length is denoted by w symbol.

How to calculate Load using Static Deflection (Shaft Fixed, Uniformly Distributed Load) using this online calculator? To use this online calculator for Load using Static Deflection (Shaft Fixed, Uniformly Distributed Load), enter Static Deflection (δ), Young's Modulus (E), Moment of inertia of shaft (I_shaft) & Length of Shaft (L_shaft) and hit the calculate button. Here is how the Load using Static Deflection (Shaft Fixed, Uniformly Distributed Load) calculation can be explained with given input values -> 3.000001 = ((0.072*384*15*1.085522)/(3.5^4)).

FAQ

What is Load using Static Deflection (Shaft Fixed, Uniformly Distributed Load)?

Load using Static Deflection (Shaft Fixed, Uniformly Distributed Load) formula is defined as a measure of the load that a shaft can withstand when it is fixed at one end and subjected to a uniformly distributed load, providing insight into the shaft's ability to resist deformation and maintain its structural integrity and is represented as w = ((δ*384*E*I_shaft)/(L_shaft^4)) or Load per unit length = ((Static Deflection*384*Young's Modulus*Moment of inertia of shaft)/(Length of Shaft^4)). Static Deflection is the maximum displacement of an object from its equilibrium position during free transverse vibrations, indicating its flexibility and stiffness, Young's Modulus is a measure of the stiffness of a solid material and is used to calculate the natural frequency of free transverse vibrations, Moment of inertia of shaft is the measure of an object's resistance to changes in its rotation, influencing natural frequency of free transverse vibrations & Length of Shaft is the distance from the axis of rotation to the point of maximum vibration amplitude in a transversely vibrating shaft.

How to calculate Load using Static Deflection (Shaft Fixed, Uniformly Distributed Load)?

Load using Static Deflection (Shaft Fixed, Uniformly Distributed Load) formula is defined as a measure of the load that a shaft can withstand when it is fixed at one end and subjected to a uniformly distributed load, providing insight into the shaft's ability to resist deformation and maintain its structural integrity is calculated using Load per unit length = ((Static Deflection*384*Young's Modulus*Moment of inertia of shaft)/(Length of Shaft^4)). To calculate Load using Static Deflection (Shaft Fixed, Uniformly Distributed Load), you need Static Deflection (δ), Young's Modulus (E), Moment of inertia of shaft (I_shaft) & Length of Shaft (L_shaft). With our tool, you need to enter the respective value for Static Deflection, Young's Modulus, Moment of inertia of shaft & Length of Shaft 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 per unit length?

In this formula, Load per unit length uses Static Deflection, Young's Modulus, Moment of inertia of shaft & Length of Shaft. We can use 2 other way(s) to calculate the same, which is/are as follows -

Load per unit length = (3.573^2)*((Young's Modulus*Moment of inertia of shaft*Acceleration due to Gravity)/(Length of Shaft^4*Frequency^2))
Load per unit length = ((504*Young's Modulus*Moment of inertia of shaft*Acceleration due to Gravity)/(Length of Shaft^4*Natural Circular Frequency^2))

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