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Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress. Check FAQs
𝜏=W-0.707σtLsingletplate1.414Lparalleltplate
𝜏 - Shear Stress?W - Load on weld?σt - Tensile Stress?Lsingle - Length of Single Fillet Lap Weld?tplate - Thickness of Plate?Lparallel - Length of Parallel Fillet Weld?

Maximum Shear Stress given Total Load Carried by Plates in Compound Weld Example

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Here is how the Maximum Shear Stress given Total Load Carried by Plates in Compound Weld equation looks like with Values.

Here is how the Maximum Shear Stress given Total Load Carried by Plates in Compound Weld equation looks like with Units.

Here is how the Maximum Shear Stress given Total Load Carried by Plates in Compound Weld equation looks like.

2.5321Edit=9Edit-0.70732Edit1.5Edit12Edit1.414200Edit12Edit
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Maximum Shear Stress given Total Load Carried by Plates in Compound Weld Solution

Follow our step by step solution on how to calculate Maximum Shear Stress given Total Load Carried by Plates in Compound Weld?

FIRST Step Consider the formula
𝜏=W-0.707σtLsingletplate1.414Lparalleltplate
Next Step Substitute values of Variables
𝜏=9kN-0.70732MPa1.5mm12mm1.414200mm12mm
Next Step Convert Units
𝜏=9000N-0.7073.2E+7Pa0.0015m0.012m1.4140.2m0.012m
Next Step Prepare to Evaluate
𝜏=9000-0.7073.2E+70.00150.0121.4140.20.012
Next Step Evaluate
𝜏=2532050.91937765Pa
Next Step Convert to Output's Unit
𝜏=2.53205091937765MPa
LAST Step Rounding Answer
𝜏=2.5321MPa

Maximum Shear Stress given Total Load Carried by Plates in Compound Weld Formula Elements

Variables
Shear Stress
Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.
Symbol: 𝜏
Measurement: StressUnit: MPa
Note: Value should be greater than 0.
Load on weld
Load on weld is the instantaneous load applied perpendicular to the specimen cross section.
Symbol: W
Measurement: ForceUnit: kN
Note: Value should be greater than 0.
Tensile Stress
Tensile Stress can be defined as the magnitude of force applied along the weld, which is divided by the cross-sectional area of the weld in a direction perpendicular to the applied force.
Symbol: σt
Measurement: PressureUnit: MPa
Note: Value should be greater than 0.
Length of Single Fillet Lap Weld
The Length of Single Fillet Lap Weld is the distance between two consecutive ends of welds.
Symbol: Lsingle
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Thickness of Plate
The thickness of plate is the state or quality of being thick. The measure of the smallest dimension of a solid figure: a board of two-inch thickness.
Symbol: tplate
Measurement: LengthUnit: mm
Note: Value should be greater than 0.
Length of Parallel Fillet Weld
Length of Parallel Fillet Weld is the distance between two consecutive end of welds.
Symbol: Lparallel
Measurement: LengthUnit: mm
Note: Value should be greater than 0.

Other Formulas to find Shear Stress

​Go Maximum Shear Stress given Load Carried by Parallel Fillet Weld
𝜏=W1.414Lparalleltplate

Other formulas in Analysis of Compound Weld category

​Go Load Carried by Single Fillet Lap Weld
W=0.707σtLsingletplate
​Go Allowable Tensile Stress given Load Carried by Single Fillet Lap Weld
σt=W0.707Lsingletplate
​Go Length of Single Fillet Lap Weld given Load Carried by Single Fillet Lap Weld
Lsingle=W0.707σttplate
​Go Thickness of Plates given Load Carried by Single Fillet Lap Weld
tplate=W0.707σtLsingle

How to Evaluate Maximum Shear Stress given Total Load Carried by Plates in Compound Weld?

Maximum Shear Stress given Total Load Carried by Plates in Compound Weld evaluator uses Shear Stress = (Load on weld-0.707*Tensile Stress*Length of Single Fillet Lap Weld*Thickness of Plate)/(1.414*Length of Parallel Fillet Weld*Thickness of Plate) to evaluate the Shear Stress, Maximum shear stress given total load carried by plates in compound weld is defined as the maximum concentrated shear force in a small area. It is very critical for a structural engineer to locate and evaluate the maximum shear stress in a member in order to design the member in such a way as to resist it. Shear Stress is denoted by 𝜏 symbol.

How to evaluate Maximum Shear Stress given Total Load Carried by Plates in Compound Weld using this online evaluator? To use this online evaluator for Maximum Shear Stress given Total Load Carried by Plates in Compound Weld, enter Load on weld (W), Tensile Stress t), Length of Single Fillet Lap Weld (Lsingle), Thickness of Plate (tplate) & Length of Parallel Fillet Weld (Lparallel) and hit the calculate button.

FAQs on Maximum Shear Stress given Total Load Carried by Plates in Compound Weld

What is the formula to find Maximum Shear Stress given Total Load Carried by Plates in Compound Weld?
The formula of Maximum Shear Stress given Total Load Carried by Plates in Compound Weld is expressed as Shear Stress = (Load on weld-0.707*Tensile Stress*Length of Single Fillet Lap Weld*Thickness of Plate)/(1.414*Length of Parallel Fillet Weld*Thickness of Plate). Here is an example- 2.5E-6 = (9000-0.707*32000000*0.0015*0.012)/(1.414*0.2*0.012).
How to calculate Maximum Shear Stress given Total Load Carried by Plates in Compound Weld?
With Load on weld (W), Tensile Stress t), Length of Single Fillet Lap Weld (Lsingle), Thickness of Plate (tplate) & Length of Parallel Fillet Weld (Lparallel) we can find Maximum Shear Stress given Total Load Carried by Plates in Compound Weld using the formula - Shear Stress = (Load on weld-0.707*Tensile Stress*Length of Single Fillet Lap Weld*Thickness of Plate)/(1.414*Length of Parallel Fillet Weld*Thickness of Plate).
What are the other ways to Calculate Shear Stress?
Here are the different ways to Calculate Shear Stress-
  • Shear Stress=Load on weld/(1.414*Length of Parallel Fillet Weld*Thickness of Plate)OpenImg
Can the Maximum Shear Stress given Total Load Carried by Plates in Compound Weld be negative?
No, the Maximum Shear Stress given Total Load Carried by Plates in Compound Weld, measured in Stress cannot be negative.
Which unit is used to measure Maximum Shear Stress given Total Load Carried by Plates in Compound Weld?
Maximum Shear Stress given Total Load Carried by Plates in Compound Weld is usually measured using the Megapascal[MPa] for Stress. Pascal[MPa], Newton per Square Meter[MPa], Newton per Square Millimeter[MPa] are the few other units in which Maximum Shear Stress given Total Load Carried by Plates in Compound Weld can be measured.
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