Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
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11 Other formulas that you can solve using the same Inputs

Stress at Point y for a Curved Beam
Stress=((Bending Moment )/(Cross sectional area*Radius of Centroidal Axis))*(1+((Distance of Point from Centroidal Axis)/(Cross-Section Property*(Radius of Centroidal Axis+Distance of Point from Centroidal Axis)))) GO
Bending Moment When Stress is Applied at Point y in a Curved Beam
Bending Moment =((Stress*Cross sectional area*Radius of Centroidal Axis)/(1+(Distance of Point from Centroidal Axis/(Cross-Section Property*(Radius of Centroidal Axis+Distance of Point from Centroidal Axis))))) GO
Maximum Stress For Short Beams
Maximum stress at crack tip=(Axial Load/Cross sectional area)+((Maximum Bending Moment*Distance from the Neutral axis)/Moment of Inertia) GO
Axial Load when Maximum Stress For Short Beams is Given
Axial Load=Cross sectional area*(Maximum stress at crack tip-(Maximum Bending Moment*Distance from the Neutral axis/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
Resistance
Resistance=(Resistivity*Length of Conductor)/Cross sectional area GO
Modulus of resilience
Modulus of resilience=Yield Strength^2/(2*Young's Modulus) GO
Centrifugal Stress
Centrifugal Stress=2*Tensile Stress*Cross sectional area GO
Rate of Flow
Rate of flow=Cross sectional area*Average Velocity GO
Safe stress
Safe stress=Yield Strength/Factor of safety GO
Maximum shear stress from von mises criterion
Maximum shear stress=0.577*Yield Strength GO

4 Other formulas that calculate the same Output

Total Allowable Axial Load for Short Columns
Allowable Load=Gross area of column*(0.25*Compressive strength+Allowable stress in vertical reinforcement*Area ratio of cross sectional area to gross area) GO
Allowable Load when Safety Factors are Given
Allowable Load=(Shaft Resistance/Factor of Safety F1)+(Toe Resistance/Factor of Safety F2) GO
Allowable Load when Safety Factor is Given
Allowable Load=(Shaft Resistance+Toe Resistance)/Factor of Safety GO
Allowable Load per mm Length of Transverse Fillet Weld
Allowable Load=0.8284*Leg of the weld*Maximum shear stress GO

Allowable Unit Load for Bridges using Structural Carbon Steel Formula

Allowable Load=(Yield Strength*Cross sectional area/Factor of safety)/(1+0.25*sec((0.375*pi/180)/Least Radius of Gyration*Length of column*sqrt(Factor of safety*Allowable Load/Modulus Of Elasticity*Cross sectional area)))
Q <sub>a</sub>=(σ<sub>y</sub>*A/N)/(1+0.25*sec((0.375*pi/180)/r*l*sqrt(N*Q <sub>a</sub>/E*A)))
More formulas
Shear Capacity for Flexural Members GO
Shear Capacity for Girders with Transverse Stiffeners GO
Allowable Stress when Slenderness Ratio is Less than Cc GO
Allowable Stress when Slenderness Ratio is Equal to or Greater than Cc GO
Maximum Strength for Compression Members GO
Column Gross Effective Area when Maximum Strength is Given GO
Buckling Stress when Maximum Strength is Given GO
Q Factor GO
Steel Yield Strength when Q Factor is Given GO
Buckling Stress when Q Factor is Greater Than 1 GO
Buckling Stress when Q Factor is Less Than or Equal to 1 GO
Steel Yield Strength when Buckling Stress for Q Factor Less Than or Equal to 1 is Given GO
Steel Yield Strength when Buckling Stress for Q Factor Greater Than 1 is Given GO
Ultimate Unit Load for Bridges using Structural Carbon Steel GO
Allowable Unit Stress in Bending GO
Steel Yield Strength when Allowable Unit Stress in Bending is Given GO
Moment Gradient Factor when Smaller and Larger Beam End Moment is Given GO
Minimum Moment of Inertia of a Transverse Stiffener GO
Actual Stiffener Spacing when Minimum Moment of Inertia of a Transverse Stiffener is Given GO
Web Thickness when Minimum Moment of Inertia of a Transverse Stiffener is Given GO
Gross Cross-Sectional Area of Intermediate Stiffeners GO
Multiplier for allowable stress when flange bending stress does not exceed the allowable stress GO
Maximum bending strength for Symmetrical Flexural Compact Section for LFD of Bridges GO
Maximum bending strength for Symmetrical Flexural Braced Non-Compacted Section for LFD of Bridges GO
Minimum Flange Thickness for Symmetrical Flexural Compact Section for LFD of Bridges GO
Minimum Flange Thickness for Symmetrical Flexural Braced Non-Compact Section for LFD of Bridges GO
Minimum Web Thickness for Symmetrical Flexural Braced Non-Compact Section for LFD of Bridges GO
Minimum Web Thickness for Symmetrical Flexural Compact Section for LFD of Bridges GO
Maximum Unbraced Length for Symmetrical Flexural Compact Section for LFD of Bridges GO
Maximum Unbraced Length for Symmetrical Flexural Braced Non-Compact Section for LFD of Bridges GO
Ultimate Moment Capacity for Symmetrical Flexural Sections for LFD of Bridges GO
Steel yield strength for Compact Section for LFD when Maximum Bending Moment is Given GO
Steel yield strength for Braced Non-Compact Section for LFD when Maximum Bending Moment is Given GO
Steel yield strength for Braced Non-Compact Section for LFD when Minimum Flange Thickness is Given GO
Steel yield strength for Compact Section for LFD when Minimum Flange Thickness is Given GO
Steel yield strength for Compact Section for LFD when Minimum Web Thickness is Given GO
Steel yield strength for Compact Section for LFD when Maximum Unbraced Length is Given GO
Steel yield strength for Braced Non-Compact Section for LFD when Maximum Unbraced Length is Given GO
Plastic Section Modulus for Compact Section for LFD when Maximum Bending Moment is Given GO
Section Modulus for Braced Non-Compact Section for LFD when Maximum Bending Moment is Given GO
Width of Projection of Flange for Braced Non-Compact Section when Maximum Bending Moment is Given GO
Width of Projection of Flange for Compact Section for LFD when Minimum Flange Thickness is Given GO
Depth of Section for Compact Section for LFD when Minimum Web Thickness is Given GO
Unsupported length for Braced Non-Compact Section for LFD when Minimum Web Thickness is Given GO
Depth of Section for Braced Non-Compact Section for LFD when Maximum Unbraced Length is Given GO
Area of Flange for Braced Non-Compact Section for LFD when Maximum Unbraced Length is Given GO
Smaller Moment of unbraced length for Compact Section for LFD when Maximum Unbraced Length is Given GO
Ultimate Moment of unbraced length for Compact Section when Maximum Unbraced Length is Given GO
Allowable Bearing Stresses on Pins for Buildings for LFD GO
Allowable Bearing Stresses on Pins subject to rotation for Bridges for LFD GO
Allowable Bearing Stresses on Pins not subject to rotation for Bridges for LFD GO
Steel yield strength on Pins for Buildings for LFD when Allowable Bearing Stresses is Given GO
Steel yield strength on Pins subject to rotation for Bridges for LFD when Pin Stresses is Given GO
Steel yield strength on Pins not subject to rotation for Bridges for LFD when Pin Stresses is Given GO
Allowable Bearing Stress for expansion rollers and rockers where diameter is up to 635 mm GO
Allowable Bearing Stress for expansion rollers and rockers where diameter is from 635 mm to 3175 mm GO
Steel Yield Strength for milled surface when allowable Bearing Stress for d < 635 mm is Given GO
Steel Yield Strength for milled surface when allowable Bearing Stress for d > 635 mm is Given GO
Diameter of Roller or Rocker for milled surface when Allowable Stress is Given for d < 635 mm GO
Diameter of Roller or Rocker for milled surface when Allowable Stress is Given for d > 635 mm GO
Allowable Bearing Stress for high strength bolts GO
Tensile Strength of connected part when Allowable Bearing Stress for bolts is Given GO
Number of Connectors in Bridges GO
Force in Slab when Number of Connectors in Bridges is Given GO
Reduction Factor when Number of Connectors in Bridges is Given GO
Ultimate Shear Connector Strength when Number of Connectors in Bridges is Given GO
Force in Slab when Total Area of Steel Section is Given GO
Total Area of Steel Section when Force in Slab is Given GO
Steel Yield Strength when Total Area of Steel Section is Given GO
Force in Slab when Effective Concrete Area is Given GO
Effective Concrete Area when Force in Slab is Given GO
28-day Compressive Strength of Concrete when Force in Slab is Given GO
Minimum Number of Connectors for Bridges GO
Force in Slab at Maximum Positive Moments when Minimum Number of Connectors for Bridges is Given GO
Force in Slab at Maximum Negative Moments when Minimum Number of Connectors for Bridges is Given GO
Force in Slab at Maximum Negative Moments when Reinforcing Steel Yield Strength is Given GO
Reduction Factor when Minimum Number of Connectors in Bridges is Given GO
Ultimate Shear Connector Strength when Minimum Number of Connectors in Bridges is Given GO
Area of Longitudinal Reinforcing when Force in Slab at Maximum Negative Moments is Given GO
Reinforcing Steel Yield Strength when Force in Slab at Maximum Negative Moments is Given GO
Allowable Shear stress in Bridges GO
Steel Yield Strength when Allowable Shear stress for Flexural Members in Bridges GO
Shear Buckling Coefficient when Allowable Shear stress for Flexural Members in Bridges is Given GO
Natural frequency of each Cable GO
Span of Cable when Natural frequency of each Cable is Given GO
Cable Tension when Natural frequency of each Cable is Given GO
Fundamental Vibration Mode when Natural frequency of Each Cable is Given GO
Runoff Rate of Rainwater from a bridge during a Rainstorm GO
Average Rainfall Intensity when Runoff Rate of Rainwater from a bridge during a Rainstorm is Given GO
Drainage Area when Runoff Rate of Rainwater from a bridge during a Rainstorm is Given GO
Runoff Coefficient when Runoff Rate of Rainwater from a bridge during a Rainstorm is Given GO
Deck Width for handling the Rainwater Runoff to the Drain Scuppers GO
Shoulder Width when Deck Width for handling the Rainwater Runoff to the Drain Scuppers is Given GO
Traffic Lane when Deck Width for handling the Rainwater Runoff to the Drain Scuppers is Given GO

What is Allowable Load ?

The allowable load is based on the application of a safety factor to the mean result of laboratory testing to failure (ultimate load), regardless of the controlling failure mode observed in the tests.

How to Calculate Allowable Unit Load for Bridges using Structural Carbon Steel?

Allowable Unit Load for Bridges using Structural Carbon Steel calculator uses Allowable Load=(Yield Strength*Cross sectional area/Factor of safety)/(1+0.25*sec((0.375*pi/180)/Least Radius of Gyration*Length of column*sqrt(Factor of safety*Allowable Load/Modulus Of Elasticity*Cross sectional area))) to calculate the Allowable Load, The Allowable Unit Load for Bridges using Structural Carbon Steel formula is defined as load under which bridge will sustain without failing. Allowable Load and is denoted by Q a symbol.

How to calculate Allowable Unit Load for Bridges using Structural Carbon Steel using this online calculator? To use this online calculator for Allowable Unit Load for Bridges using Structural Carbon Steel, enter Yield Strength y), Cross sectional area (A), Factor of safety (N), Least Radius of Gyration (r), Length of column (l) and Modulus Of Elasticity (E) and hit the calculate button. Here is how the Allowable Unit Load for Bridges using Structural Carbon Steel calculation can be explained with given input values -> 139999.9 = (35000000*10/2)/(1+0.25*sec((0.375*pi/180)/50*5*sqrt(2*10000/10000*10))).

FAQ

What is Allowable Unit Load for Bridges using Structural Carbon Steel?
The Allowable Unit Load for Bridges using Structural Carbon Steel formula is defined as load under which bridge will sustain without failing and is represented as Q a=(σy*A/N)/(1+0.25*sec((0.375*pi/180)/r*l*sqrt(N*Q a/E*A))) or Allowable Load=(Yield Strength*Cross sectional area/Factor of safety)/(1+0.25*sec((0.375*pi/180)/Least Radius of Gyration*Length of column*sqrt(Factor of safety*Allowable Load/Modulus Of Elasticity*Cross sectional area))). Yield strength can be defined as follows, a straight line is constructed parallel to the elastic portion of the stress–strain curve at a strain offset of 0.002. The stress corresponding to the intersection of this line and the stress–strain curve is defined as the yield strength, 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, Factor of safety expresses how much stronger a system is than it needs to be for an intended load, The Least Radius of Gyration is the smallest value of the radius of gyration is used for structural calculations, Length of column is the distance between two points where a column gets its fixity of support so its movement is restrained in all directions and 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.
How to calculate Allowable Unit Load for Bridges using Structural Carbon Steel?
The Allowable Unit Load for Bridges using Structural Carbon Steel formula is defined as load under which bridge will sustain without failing is calculated using Allowable Load=(Yield Strength*Cross sectional area/Factor of safety)/(1+0.25*sec((0.375*pi/180)/Least Radius of Gyration*Length of column*sqrt(Factor of safety*Allowable Load/Modulus Of Elasticity*Cross sectional area))). To calculate Allowable Unit Load for Bridges using Structural Carbon Steel, you need Yield Strength y), Cross sectional area (A), Factor of safety (N), Least Radius of Gyration (r), Length of column (l) and Modulus Of Elasticity (E). With our tool, you need to enter the respective value for Yield Strength, Cross sectional area, Factor of safety, Least Radius of Gyration, Length of column and Modulus Of Elasticity 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 Allowable Load?
In this formula, Allowable Load uses Yield Strength, Cross sectional area, Factor of safety, Least Radius of Gyration, Length of column and Modulus Of Elasticity. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Allowable Load=(Shaft Resistance+Toe Resistance)/Factor of Safety
  • Allowable Load=(Shaft Resistance/Factor of Safety F1)+(Toe Resistance/Factor of Safety F2)
  • Allowable Load=Gross area of column*(0.25*Compressive strength+Allowable stress in vertical reinforcement*Area ratio of cross sectional area to gross area)
  • Allowable Load=0.8284*Leg of the weld*Maximum shear stress
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