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

Allowable Compressive Stress Parallel to Grain for Intermediate Columns
ACS parallel to grain in given column=ACS in short column of given species*(1-(((Unbraced Length of the member/least dimension)/value of k)^4)/3) GO
Allowable Stress when Area of Compression Flange is Solid and Not Less than Tension Flange
Maximum fiber stress=12000*Moment Gradient Factor/((Unbraced Length of the member*Depth of the Beam)/Area of compression flange) GO
Elasticity Modulus when Allowable Compressive Stress in a Rectangular Section is Given
Modulus Of Elasticity=(ACS parallel to grain in given column*(Unbraced Length of the member/least dimension)^2)/0.3 GO
Allowable Compressive Stress Parallel to Grain for Long Columns
ACS parallel to grain in given column=0.274*Modulus Of Elasticity/(Unbraced Length of the member/least dimension)^2 GO
Allowable Compressive Stress in a Rectangular Section
ACS parallel to grain in given column=0.3*Modulus Of Elasticity/(Unbraced Length of the member/least dimension)^2 GO
Radius of gyration if moment of inertia and area is known
Radius of gyration=sqrt(Area Moment Of Inertia/Area of cross section) GO
Moment of inertia if radius of gyration is known
Area Moment Of Inertia=Area of cross section*Radius of gyration^2 GO
Safe value of axial pull
Safe value of axial pull=Safe stress*Area of cross section GO
Safe stress if safe value of axial pull is known
Stress=Safe value of axial pull/Area of cross section GO
Stress in the direction of maximum axial force
Stress=Maximum axial force/Area of cross section GO
Maximum axial force
Maximum axial force=Stress*Area of cross section GO

1 Other formulas that calculate the same Output

Critical Elastic Moment
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)))) GO

Critical Elastic Moment for Box Sections and Solid Bars Formula

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)
M<sub>cr</sub>=(57000*C<sub>b</sub>*sqrt(J*A))/(L/r<sub>y</sub>)
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 GO

What are the causes of lateral buckling?

The applied vertical load results in compression and tension in the flanges of the section. The compression flange tries to deflect laterally away from its original position, whereas the tension flange tries to keep the member straight.

How to Calculate Critical Elastic Moment for Box Sections and Solid Bars?

Critical Elastic Moment for Box Sections and Solid Bars calculator uses 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) to calculate the Critical elastic moment, The Critical Elastic Moment for Box Sections and Solid Bars is defined as the maximum limit of moment a box beam or solid bar can withstand. Any further moment can make the beam or member in failure. . Critical elastic moment and is denoted by Mcr symbol.

How to calculate Critical Elastic Moment for Box Sections and Solid Bars using this online calculator? To use this online calculator for Critical Elastic Moment for Box Sections and Solid Bars, enter Moment Gradient Factor (Cb), Torsional constant (J), Area of cross section (A), Unbraced Length of the member (L) and Radius of gyration about minor axis (ry) and hit the calculate button. Here is how the Critical Elastic Moment for Box Sections and Solid Bars calculation can be explained with given input values -> 249.7615 = (57000*1*sqrt(10*48))/(0.1/0.02).

FAQ

What is Critical Elastic Moment for Box Sections and Solid Bars?
The Critical Elastic Moment for Box Sections and Solid Bars is defined as the maximum limit of moment a box beam or solid bar can withstand. Any further moment can make the beam or member in failure. and is represented as Mcr=(57000*Cb*sqrt(J*A))/(L/ry) or 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). Moment Gradient Factor is rate at which moment is changing with length of beam, 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, Area of cross section is the enclosed surface area, product of length and breadth. , Unbraced length of the member is defined as the distance between adjacent Points and Radius of gyration about minor axis is the root mean square distance of the object's parts from either its center of mass or a given minor axis, depending on the relevant application.
How to calculate Critical Elastic Moment for Box Sections and Solid Bars?
The Critical Elastic Moment for Box Sections and Solid Bars is defined as the maximum limit of moment a box beam or solid bar can withstand. Any further moment can make the beam or member in failure. is calculated using 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). To calculate Critical Elastic Moment for Box Sections and Solid Bars, you need Moment Gradient Factor (Cb), Torsional constant (J), Area of cross section (A), Unbraced Length of the member (L) and Radius of gyration about minor axis (ry). With our tool, you need to enter the respective value for Moment Gradient Factor, Torsional constant, Area of cross section, Unbraced Length of the member and Radius of gyration about minor axis 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, Torsional constant, Area of cross section, Unbraced Length of the member and Radius of gyration about minor axis. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • 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))))
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