Chandana P Dev
NSS College of Engineering (NSSCE), Palakkad
Chandana P Dev has created this Calculator and 100+ more calculators!
Mithila Muthamma PA
Coorg Institute of Technology (CIT), Coorg
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11 Other formulas that you can solve using the same Inputs

Maximum and Center Deflection of Cantilever Beam carrying Point Load at any point
Deflection=(Point Load acting on the Beam*(Distance from end A^2)*(3*Length-Distance from end A))/(6*Modulus Of Elasticity*Area Moment of Inertia) GO
Strain Energy due to Torsion in Hollow Shaft
Strain Energy=(Shear Stress^(2))*(Outer diameter^(2)+Inner Diameter^(2))*Volume of Shaft/(4*Shear Modulus*Outer diameter^(2)) GO
Maximum and Center Deflection of Simply Supported Beam carrying UDL over its entire Length
Deflection=(5*Uniformly Distributed Load*(Length^4))/(384*Modulus Of Elasticity*Area Moment of Inertia) GO
Maximum and Center Deflection of Simply Supported Beam carrying Point Load at Center
Deflection=(Point Load acting on the Beam*(Length^3))/(48*Modulus Of Elasticity*Area Moment of Inertia) GO
Maximum and Center Deflection of Cantilever Beam carrying Point Load at Free End
Deflection=(Point Load acting on the Beam*(Length^3))/(3*Modulus Of Elasticity*Area Moment of Inertia) GO
Total Angle of Twist
Total Angle of Twist=(Torque*Length of Shaft)/(Shear Modulus*Polar moment of Inertia) GO
Strain Energy if Torsion Moment Value is Given
Strain Energy=Torsion load*Length/(2*Shear Modulus*Polar moment of Inertia) GO
Strain Energy in Torsion for Solid Shaft
Strain Energy=Shear Stress^(2)*Volume of Shaft/(4*Shear Modulus) GO
Strain energy due to pure shear
Strain Energy=Shear Stress*Shear Stress*Volume/(2*Shear Modulus) GO
Young's Modulus from shear modulus
Young's Modulus=2*Shear Modulus*(1+Poisson's ratio) GO
Stress using Hook's Law
Stress=Modulus Of Elasticity*Engineering strain GO

1 Other formulas that calculate the same Output

Critical Elastic Moment for Box Sections and Solid Bars
Critical elastic moment=(57000*Moment Gradient Factor*sqrt(Torsional constant*Area of cross section))/(Unbraced Length of the member/Radius of gyration about minor axis) GO

Critical Elastic Moment Formula

Critical elastic moment=((Moment Gradient Factor*pi)/Unbraced Length of the member)*sqrt(((Modulus Of Elasticity*Moment of Inertia about Y-axis*Shear Modulus*Torsional constant)+(Moment of Inertia about Y-axis*Warping Constant*((pi*Modulus Of Elasticity)/(Unbraced Length of the member)^2))))
M<sub>cr</sub>=((C<sub>b</sub>*pi)/L)*sqrt(((E*I<sub>y*G*J)+(I<sub>y*C<sub>w*((pi*E)/(L)^2))))
More formulas
Maximum Laterally Unbraced Length for Plastic Analysis GO
Maximum Laterally Unbraced Length for Plastic Analysis in Solid Bars and Box Beams GO
Plastic Moment GO
Limiting Laterally Unbraced Length for Full Plastic Bending Capacity for I and Channel Sections GO
Limiting Laterally Unbraced Length for Full Plastic Bending Capacity for Solid Bar and Box Beams GO
Limiting Laterally Unbraced Length for Inelastic Lateral Buckling GO
Specified Minimum Yield Stress for Web if Lr is Given GO
Beam Buckling Factor 1 GO
Beam Buckling Factor 2 GO
Limiting Buckling Moment GO
Limiting Laterally Unbraced Length for Inelastic Lateral Buckling for Box Beams GO
Critical Elastic Moment for Box Sections and Solid Bars GO

How to prevent Lateral Torsional Buckling?

The best way to prevent this type of buckling from occurring is to restrain the flange under compression, which prevents it from rotating along its axis. Some beams have restraints such as walls or braced elements periodically along their lengths, as well as on the ends.

How to Calculate Critical Elastic Moment?

Critical Elastic Moment calculator uses Critical elastic moment=((Moment Gradient Factor*pi)/Unbraced Length of the member)*sqrt(((Modulus Of Elasticity*Moment of Inertia about Y-axis*Shear Modulus*Torsional constant)+(Moment of Inertia about Y-axis*Warping Constant*((pi*Modulus Of Elasticity)/(Unbraced Length of the member)^2)))) to calculate the Critical elastic moment, The Critical Elastic Moment is used as the basis for the methods given in design codes for determining the slenderness of a section. The elastic critical moment (Mcr) is similar to the Euler (flexural) buckling of a strut in that it defines a buckling load. Critical elastic moment and is denoted by Mcr symbol.

How to calculate Critical Elastic Moment using this online calculator? To use this online calculator for Critical Elastic Moment, enter Moment Gradient Factor (Cb), Unbraced Length of the member (L), Modulus Of Elasticity (E), Moment of Inertia about Y-axis (Iy), Shear Modulus (G), Torsional constant (J) and Warping Constant (Cw) and hit the calculate button. Here is how the Critical Elastic Moment calculation can be explained with given input values -> 1.111E+7 = ((1*pi)/0.1)*sqrt(((10000*50*25000000000*10)+(50*10*((pi*10000)/(0.1)^2)))).

FAQ

What is Critical Elastic Moment?
The Critical Elastic Moment is used as the basis for the methods given in design codes for determining the slenderness of a section. The elastic critical moment (Mcr) is similar to the Euler (flexural) buckling of a strut in that it defines a buckling load and is represented as Mcr=((Cb*pi)/L)*sqrt(((E*Iy*G*J)+(Iy*Cw*((pi*E)/(L)^2)))) or Critical elastic moment=((Moment Gradient Factor*pi)/Unbraced Length of the member)*sqrt(((Modulus Of Elasticity*Moment of Inertia about Y-axis*Shear Modulus*Torsional constant)+(Moment of Inertia about Y-axis*Warping Constant*((pi*Modulus Of Elasticity)/(Unbraced Length of the member)^2)))). Moment Gradient Factor is rate at which moment is changing with length of beam, Unbraced length of the member is defined as the distance between adjacent Points, Modulus Of Elasticity is a quantity that measures an object or substance's resistance to being deformed elastically when a stress is applied to it, Moment of Inertia about Y-axis is defined as the moment of inertia of cross-section about YY, Shear modulus is the slope of the linear elastic region of the shear stress–strain curve, The Torsional constant is a geometrical property of a bar's cross-section which is involved in the relationship between the angle of twist and applied torque along the axis of the bar and The Warping Constant is often referred to as the warping moment of inertia. It is a quantity derived from a cross-section.
How to calculate Critical Elastic Moment?
The Critical Elastic Moment is used as the basis for the methods given in design codes for determining the slenderness of a section. The elastic critical moment (Mcr) is similar to the Euler (flexural) buckling of a strut in that it defines a buckling load is calculated using Critical elastic moment=((Moment Gradient Factor*pi)/Unbraced Length of the member)*sqrt(((Modulus Of Elasticity*Moment of Inertia about Y-axis*Shear Modulus*Torsional constant)+(Moment of Inertia about Y-axis*Warping Constant*((pi*Modulus Of Elasticity)/(Unbraced Length of the member)^2)))). To calculate Critical Elastic Moment, you need Moment Gradient Factor (Cb), Unbraced Length of the member (L), Modulus Of Elasticity (E), Moment of Inertia about Y-axis (Iy), Shear Modulus (G), Torsional constant (J) and Warping Constant (Cw). With our tool, you need to enter the respective value for Moment Gradient Factor, Unbraced Length of the member, Modulus Of Elasticity, Moment of Inertia about Y-axis, Shear Modulus, Torsional constant and Warping Constant 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 Critical elastic moment?
In this formula, Critical elastic moment uses Moment Gradient Factor, Unbraced Length of the member, Modulus Of Elasticity, Moment of Inertia about Y-axis, Shear Modulus, Torsional constant and Warping Constant. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Critical elastic moment=(57000*Moment Gradient Factor*sqrt(Torsional constant*Area of cross section))/(Unbraced Length of the member/Radius of gyration about minor axis)
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