Force on Two Perpendicular Plates Partial Fillet Weld

The Force on Two Perpendicular Plates Partial Fillet Weld Calculator finds the stress created from a perpendicular partial penetration weld. 

INSTRUCTIONS: Choose units and enter the following:

• (`P`) Total Applied Force
• (`L`) Length of Lever Arm
• (`h`) Weld Width
• (`l`) Weld Length
• (`b`) Plate Thickness

Stress (`σ`) and Shear Stress (`τ`): The calculator returns the answer in psi.  However this can be automatically converted to compatible units via the pull-down menu.

The Math / Science

There are five basic types of welded joints: butt, lap, tee, corner and, edge joints.

Butt joints are formed when two plates are butted together. The connection is normally made with a full or partial penetration weld. 

Lap joints are made when two members with flat surfaces overlap each other.  The connection is normally made with fillet welds on the edges of the connected parts.

Tee joints have one plate element that "T"'s into another.  The joint can be made with fillet, partial penetration, or full penetration welds.

Corner joints are a type of tee joint. They occur at the edges of two plates.

Edge joints join the edges of two plates laid together. The connection is made with partial penetration welds.

To find the amount of stress, use the formula:

σ = (P / hl ⋅ (b + h)) ⋅ √(2L² + ((b + h)² / 2)) 

where:

• σ = stress in the weld
• P = total applied force
• L = length of lever arm
• l  = length of the weld
• h = width of the weld
• b = thickness of the plate

To find the amount of shear stress, use the formula:

τ = 0.707 ⋅ P / (l ⋅ h)

where:

• τ = shear stress
• P = total applied force
• l  = length of the weld
• h = width of the weld

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References

StructX (https://structx.com/welded_connections.html)

A Beginner's Guide to the Steel Construction Manual, 13th ed. (https://www.bgstructuralengineering.com/BGSCM13/Contents.htm)