Plate Girder Stress Reduction Factor Calculator

Category	Engineering ↺
Engineering	Civil ↺
Civil	Building and Structures ↺
Building-And-Structures	Plate Girders in Buildings ↺

✖Web area is the area of web section in the flexural member.ⓘ Web area [A_w]			+10% -10%
✖Area of Flange is space occupied by flangeⓘ Area of Flange [A_f]			+10% -10%
✖Depth to thickness ratio is the ratio between the depth of the structure to its thicknessⓘ Depth to thickness ratio [h/t]			+10% -10%
✖Allowable bending stress is the maximum limit of bending stress on the bearing plate. ⓘ Allowable bending stress [F_b]			+10% -10%

✖Plate girder strength reduction factor accounts for the strength reduction due to elastic web buckling.ⓘ Plate Girder Stress Reduction Factor [R_pg]

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Chandana P Dev

NSS College of Engineering (NSSCE), Palakkad

Chandana P Dev has created this Calculator and 100+ more calculators!

Ishita Goyal

Meerut Institute of Engineering and Technology (MIET), Meerut

Ishita Goyal has verified this Calculator and 500+ more calculators!

< 11 Other formulas that you can solve using the same Inputs

Minimum Width of Plate When Plate Thickness is Given

Minimum width of plate=2*Plate thickness*sqrt(Allowable bending stress/(3*Actual bearing pressure))+(2*Distance from beam bottom to web fillet) GO

Plate Thickness

Plate thickness=sqrt(3*Actual bearing pressure/Allowable bending stress)*((0.5*Minimum width of plate)-Distance from beam bottom to web fillet) GO

Area of Web When Plate Girder Stress Reduction Factor is Given

Web area=((1-Plate girder strength reduction factor)*Area of Flange)/(0.0005*(Depth to thickness ratio-(760/sqrt(Allowable bending stress)))) GO

Allowable Bending Stress in Compression Flange

Reduced allowable bending stress=Allowable bending stress*Plate girder strength reduction factor*Hybrid girder factor GO

Thickness of Plate When Flange Thickness for H shaped Column is Given

Base Plate Thickness=Flange thickness of H shaped columns*sqrt((3*Actual bearing pressure)/Allowable bending stress) GO

Shear Capacity if Web Slenderness is between α and 1.25α

Shear capacity =(0.54*Specified minimum yield stress*Web area*Separation ratio)/(Height of web/Web thickness) GO

Steel yield strength for Braced Non-Compact Section for LFD when Maximum Unbraced Length is Given

yield strength of steel=(20000*Area of Flange)/(Maximum Unbraced Length*Depth of Section) GO

Maximum Unbraced Length for Symmetrical Flexural Braced Non-Compact Section for LFD of Bridges

Maximum Unbraced Length=(20000*Area of Flange)/(yield strength of steel*Depth of Section) GO

Depth of Section for Braced Non-Compact Section for LFD when Maximum Unbraced Length is Given

Depth of Section=(20000*Area of Flange)/(yield strength of steel*Maximum Unbraced Length) GO

Shear Capacity if Web Slenderness is greater than 1.25α

Shear capacity =(23760*effective length factor*Web area)/(Height of web/Web thickness)^2 GO

Shear Capacity if Web Slenderness is Less Than α

Shear capacity =0.54*Specified minimum yield stress*Web area GO

Plate Girder Stress Reduction Factor Formula

Plate girder strength reduction factor=(1-0.0005*(Web area/Area of Flange)*(Depth to thickness ratio-(760/sqrt(Allowable bending stress))))
Rpg=(1-0.0005*(Aw/Af)*(h/t-(760/sqrt(Fb))))

More formulas

Maximum depth to thickness Ratio for Unstiffened Web GO

Depth to Thickness Ratio of Girder With Transverse Stiffeners GO

Allowable Bending Stress in Compression Flange GO

Area of Web When Plate Girder Stress Reduction Factor is Given GO

Area of Flange When Plate Girder Stress Reduction Factor is Given GO

Hybrid Girder Factor GO

Allowable Shear Stress without Tension Field Action GO

Allowable Shear Stress with Tension Field Action GO

What are plate girders?

A plate girder is a built up I-beam section, used to carry heavy loads which cannot be carried economically by rolled I-sections. It is made by riveting or welding the steel plates in I-beam shape.

What are the components of plate girders?

Web : The deep central vertical plate is called as a web in plate girder. Flanges : Flanges or flange plates are horizontal elements of plate girder which are provided at the top and bottom and they are separated by the web. Stiffeners : Again classified as vertical and horizontal stiffeners. : Vertical stiffeners are provided at right angles to the flanges and they are also called as transverse stiffeners. Horizontal stiffeners are provided in parallel to the flange plates. They are also called as longitudinal stiffeners. These stiffeners will improve the buckling strength of the web portion.

How to Calculate Plate Girder Stress Reduction Factor?

Plate Girder Stress Reduction Factor calculator uses Plate girder strength reduction factor=(1-0.0005*(Web area/Area of Flange)*(Depth to thickness ratio-(760/sqrt(Allowable bending stress)))) to calculate the Plate girder strength reduction factor, The Plate Girder Stress Reduction Factor is used to account for the strength reduction due to elastic web buckling. Plate girder strength reduction factor and is denoted by R_pg symbol.

How to calculate Plate Girder Stress Reduction Factor using this online calculator? To use this online calculator for Plate Girder Stress Reduction Factor, enter Web area (A_w), Area of Flange (A_f), Depth to thickness ratio (h/t) and Allowable bending stress (F_b) and hit the calculate button. Here is how the Plate Girder Stress Reduction Factor calculation can be explained with given input values -> -2.052445 = (1-0.0005*(0.0645160000005161/1E-05)*(1-(760/sqrt(200000000)))).

FAQ

What is Plate Girder Stress Reduction Factor?

The Plate Girder Stress Reduction Factor is used to account for the strength reduction due to elastic web buckling and is represented as R_pg=(1-0.0005*(A_w/A_f)*(h/t-(760/sqrt(F_b)))) or Plate girder strength reduction factor=(1-0.0005*(Web area/Area of Flange)*(Depth to thickness ratio-(760/sqrt(Allowable bending stress)))). Web area is the area of web section in the flexural member, Area of Flange is space occupied by flange, Depth to thickness ratio is the ratio between the depth of the structure to its thickness and Allowable bending stress is the maximum limit of bending stress on the bearing plate. .

How to calculate Plate Girder Stress Reduction Factor?

The Plate Girder Stress Reduction Factor is used to account for the strength reduction due to elastic web buckling is calculated using Plate girder strength reduction factor=(1-0.0005*(Web area/Area of Flange)*(Depth to thickness ratio-(760/sqrt(Allowable bending stress)))). To calculate Plate Girder Stress Reduction Factor, you need Web area (A_w), Area of Flange (A_f), Depth to thickness ratio (h/t) and Allowable bending stress (F_b). With our tool, you need to enter the respective value for Web area, Area of Flange, Depth to thickness ratio and Allowable bending stress and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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