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Axial Load when Maximum Stress For Short Beams is Given Solution

STEP 0: Pre-Calculation Summary
Formula Used
axial_load = Cross sectional area*(Maximum stress at crack tip-(Maximum Bending Moment*Distance from the Neutral axis/Moment of Inertia))
P = A*(σm-(M*y/I))
This formula uses 5 Variables
Variables Used
Cross sectional area - Cross sectional area is the area of a two-dimensional shape that is obtained when a three dimensional shape is sliced perpendicular to some specifies axis at a point. (Measured in Square Meter)
Maximum stress at crack tip - Maximum stress at crack tip due to the applied nominal stress. (Measured in Megapascal)
Maximum Bending Moment - The Maximum Bending Moment is the absolute value of the maximum moment in the unbraced beam segment. (Measured in Newton Meter)
Distance from the Neutral axis - The Distance from the Neutral axis is the distance from the neutral axis to any given fiber. (Measured in Millimeter)
Moment of Inertia - Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis. (Measured in Kilogram Meter²)
STEP 1: Convert Input(s) to Base Unit
Cross sectional area: 10 Square Meter --> 10 Square Meter No Conversion Required
Maximum stress at crack tip: 60 Megapascal --> 60000000 Pascal (Check conversion here)
Maximum Bending Moment: 10 Newton Meter --> 10 Newton Meter No Conversion Required
Distance from the Neutral axis: 50 Millimeter --> 0.05 Meter (Check conversion here)
Moment of Inertia: 1.125 Kilogram Meter² --> 1.125 Kilogram Meter² No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P = A*(σm-(M*y/I)) --> 10*(60000000-(10*0.05/1.125))
Evaluating ... ...
P = 599999995.555556
STEP 3: Convert Result to Output's Unit
599999995.555556 Newton -->61182972.3254728 Kilogram-Force (Check conversion here)
FINAL ANSWER
61182972.3254728 Kilogram-Force <-- Axial Load
(Calculation completed in 00.031 seconds)

11 Other formulas that you can solve using the same Inputs

Strain Energy if moment value is given
strain_energy = (Bending moment*Bending moment*Length)/(2*Elastic Modulus*Moment of Inertia) Go
Electric Current when Drift Velocity is Given
electric_current = Number of free charge particles per unit volume*[Charge-e]*Cross sectional area*Drift Velocity Go
Impulsive Torque
impulsive_torque = (Moment of Inertia*(Final Angular Velocity-Angular velocity))/Time Taken to Travel Go
Center of Gravity
centre_of_gravity = Moment of Inertia/(Volume*(Centre of Buoyancy+Metacenter)) Go
Center of Buoyancy
centre_of_buoyancy = Moment of Inertia/(Volume*Centre of gravity)-Metacenter Go
Metacenter
metacenter = Moment of Inertia/(Volume*Centre of gravity)-Centre of Buoyancy Go
Deflection of fixed beam with load at center
deflection = -Width*(Length^3)/(192*Elastic Modulus*Moment of Inertia) Go
Deflection of fixed beam with uniformly distributed load
deflection = -Width*Length^4/(384*Elastic Modulus*Moment of Inertia) Go
Resistance
resistance = (Resistivity*Length of Conductor)/Cross sectional area Go
Section Modulus
section_modulus = (Moment of Inertia)/(Distance from the Neutral axis) Go
Angular Momentum
angular_momentum = Moment of Inertia*Angular Velocity Go

10 Other formulas that calculate the same Output

Axial load on spring in terms of strain energy stored by spring
axial_load = sqrt((Strain Energy*(Modulus of rigidity*(Diameter of spring wire^4)))/(32*(Mean radius spring coil^3)*Coil)) Go
Load when Deflection in Eccentric Loading is Given
axial_load = (Critical Buckling Load*Deflection*pi)/(4*Eccentricity of Loading+pi*Deflection) Go
Axial load on spring in terms of deflection of spring
axial_load = ((Strain Energy*(Modulus of rigidity*(Diameter of spring wire^4)))/(64*(Mean radius spring coil^3)*Coil)) Go
Axial Load When Unit Bearing Pressure is Given
axial_load = pi*Number of Engaged Threads*Unit Bearing Pressure*((Nominal Diameter^2)-(Core Diameter^2))/4 Go
Axial Load When Transverse Shear Stress at Root of Nut is Given
axial_load = pi*Transverse shear stress*thread thickness*Nominal Diameter*Number of Engaged Threads Go
load When Overall Efficiency is Given
axial_load = 2*pi*Torsional Moment*Overall Efficiency of Power Screw/Lead of Screw Go
Axial loading on spring
axial_load = Twisting moments on shells/Mean radius spring coil Go
Load when Area of Lowest Column of a Structure is Given
axial_load = Allowable Bearing Pressure*Area of foundation Go
Axial load of spring in if deflection and stiffness of spring is given
axial_load = Stiffness of spring*Deflection of Spring Go
Axial load on spring in terms of work done on spring
axial_load = (2*Work Done)/Deflection of Spring Go

Axial Load when Maximum Stress For Short Beams is Given Formula

axial_load = Cross sectional area*(Maximum stress at crack tip-(Maximum Bending Moment*Distance from the Neutral axis/Moment of Inertia))
P = A*(σm-(M*y/I))

Define axial Load?

An axial load is the compression or tension force acting in a member. If the axial load acts through the centroid of the member it is called concentric loading. If the force is not acting through the centroid it's called eccentric loading. Eccentric loading produces a moment in the beam as a result of the load being a distance away from the centroid.

How to Calculate Axial Load when Maximum Stress For Short Beams is Given?

Axial Load when Maximum Stress For Short Beams is Given calculator uses axial_load = Cross sectional area*(Maximum stress at crack tip-(Maximum Bending Moment*Distance from the Neutral axis/Moment of Inertia)) to calculate the Axial Load, Axial Load when Maximum Stress For Short Beams is Given is defined as applying a force on a structure directly along an axis of the structure. Axial Load and is denoted by P symbol.

How to calculate Axial Load when Maximum Stress For Short Beams is Given using this online calculator? To use this online calculator for Axial Load when Maximum Stress For Short Beams is Given, enter Cross sectional area (A), Maximum stress at crack tip m), Maximum Bending Moment (M), Distance from the Neutral axis (y) and Moment of Inertia (I) and hit the calculate button. Here is how the Axial Load when Maximum Stress For Short Beams is Given calculation can be explained with given input values -> 6.118E+7 = 10*(60000000-(10*0.05/1.125)).

FAQ

What is Axial Load when Maximum Stress For Short Beams is Given?
Axial Load when Maximum Stress For Short Beams is Given is defined as applying a force on a structure directly along an axis of the structure and is represented as P = A*(σm-(M*y/I)) or axial_load = Cross sectional area*(Maximum stress at crack tip-(Maximum Bending Moment*Distance from the Neutral axis/Moment of Inertia)). Cross sectional area is the area of a two-dimensional shape that is obtained when a three dimensional shape is sliced perpendicular to some specifies axis at a point, Maximum stress at crack tip due to the applied nominal stress, The Maximum Bending Moment is the absolute value of the maximum moment in the unbraced beam segment, The Distance from the Neutral axis is the distance from the neutral axis to any given fiber and Moment of Inertia is the measure of the resistance of a body to angular acceleration about a given axis.
How to calculate Axial Load when Maximum Stress For Short Beams is Given?
Axial Load when Maximum Stress For Short Beams is Given is defined as applying a force on a structure directly along an axis of the structure is calculated using axial_load = Cross sectional area*(Maximum stress at crack tip-(Maximum Bending Moment*Distance from the Neutral axis/Moment of Inertia)). To calculate Axial Load when Maximum Stress For Short Beams is Given, you need Cross sectional area (A), Maximum stress at crack tip m), Maximum Bending Moment (M), Distance from the Neutral axis (y) and Moment of Inertia (I). With our tool, you need to enter the respective value for Cross sectional area, Maximum stress at crack tip, Maximum Bending Moment, Distance from the Neutral axis and Moment of Inertia 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 Axial Load?
In this formula, Axial Load uses Cross sectional area, Maximum stress at crack tip, Maximum Bending Moment, Distance from the Neutral axis and Moment of Inertia. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • axial_load = (Critical Buckling Load*Deflection*pi)/(4*Eccentricity of Loading+pi*Deflection)
  • axial_load = Allowable Bearing Pressure*Area of foundation
  • axial_load = 2*pi*Torsional Moment*Overall Efficiency of Power Screw/Lead of Screw
  • axial_load = pi*Transverse shear stress*thread thickness*Nominal Diameter*Number of Engaged Threads
  • axial_load = pi*Number of Engaged Threads*Unit Bearing Pressure*((Nominal Diameter^2)-(Core Diameter^2))/4
  • axial_load = Twisting moments on shells/Mean radius spring coil
  • axial_load = sqrt((Strain Energy*(Modulus of rigidity*(Diameter of spring wire^4)))/(32*(Mean radius spring coil^3)*Coil))
  • axial_load = (2*Work Done)/Deflection of Spring
  • axial_load = ((Strain Energy*(Modulus of rigidity*(Diameter of spring wire^4)))/(64*(Mean radius spring coil^3)*Coil))
  • axial_load = Stiffness of spring*Deflection of Spring
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