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

✖Load on weld is the instantaneous load applied perpendicular to the specimen cross section.ⓘ Load on weld [W]			+10% -10%
✖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.ⓘ Tensile Stress [σ_t]			+10% -10%
✖The Length of Single Fillet Lap Weld is the distance between two consecutive ends of welds.ⓘ Length of Single Fillet Lap Weld [L_single]			+10% -10%
✖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.ⓘ Thickness of Plate [t_plate]			+10% -10%
✖Length of Parallel Fillet Weld is the distance between two consecutive end of welds.ⓘ Length of Parallel Fillet Weld [L_parallel]			+10% -10%

✖Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.ⓘ Maximum Shear Stress given Total Load Carried by Plates in Compound Weld [𝜏]

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Formula

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

Formula

`"𝜏" = ("W"-0.707*"σ"_{"t"}*"L"_{"single"}*"t"_{"plate"})/(1.414*"L"_{"parallel"}*"t"_{"plate"})`

Example

`"2.532051MPa"=("9kN"-0.707*"32MPa"*"1.5mm"*"12mm")/(1.414*"200mm"*"12mm")`

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

STEP 0: Pre-Calculation Summary

Formula Used

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)
𝜏 = (W-0.707*σ_t*L_single*t_plate)/(1.414*L_parallel*t_plate)
This formula uses 6 Variables

Variables Used

Shear Stress - (Measured in Pascal) - Shear Stress is force tending to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress.
Load on weld - (Measured in Newton) - Load on weld is the instantaneous load applied perpendicular to the specimen cross section.
Tensile Stress - (Measured in Pascal) - 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.
Length of Single Fillet Lap Weld - (Measured in Meter) - The Length of Single Fillet Lap Weld is the distance between two consecutive ends of welds.
Thickness of Plate - (Measured in Meter) - 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.
Length of Parallel Fillet Weld - (Measured in Meter) - Length of Parallel Fillet Weld is the distance between two consecutive end of welds.

STEP 1: Convert Input(s) to Base Unit

Load on weld: 9 Kilonewton --> 9000 Newton (Check conversion here)
Tensile Stress: 32 Megapascal --> 32000000 Pascal (Check conversion here)
Length of Single Fillet Lap Weld: 1.5 Millimeter --> 0.0015 Meter (Check conversion here)
Thickness of Plate: 12 Millimeter --> 0.012 Meter (Check conversion here)
Length of Parallel Fillet Weld: 200 Millimeter --> 0.2 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

𝜏 = (W-0.707*σ_t*L_single*t_plate)/(1.414*L_parallel*t_plate) --> (9000-0.707*32000000*0.0015*0.012)/(1.414*0.2*0.012)

Evaluating ... ...

𝜏 = 2532050.91937765

STEP 3: Convert Result to Output's Unit

2532050.91937765 Pascal -->2.53205091937765 Megapascal (Check conversion here)

FINAL ANSWER

2.53205091937765 ≈ 2.532051 Megapascal <-- Shear Stress

(Calculation completed in 00.004 seconds)

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< 14 Analysis of Compound Weld Calculators

Length of Single Fillet Lap Weld given Total Load Carried by Plates in Compound Weld

Go Length of Single Fillet Lap Weld = (Load on weld-1.414*Shear Stress*Length of Parallel Fillet Weld*Thickness of Plate)/(0.707*Tensile Stress*Thickness of Plate)

Length of Parallel Fillet Weld given Total Load Carried by Plates in Compound Weld

Go Length of Parallel Fillet Weld = (Load on weld-0.707*Tensile Stress*Length of Single Fillet Lap Weld*Thickness of Plate)/(1.414*Shear Stress*Thickness of Plate)

Allowable Tensile Stress given Total Load Carried by Plates in Compound Weld

Go Tensile Stress = (Load on weld-1.414*Shear Stress*Length of Parallel Fillet Weld*Thickness of Plate)/(0.707*Length of Single Fillet Lap Weld*Thickness of Plate)

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

Go 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)

Total Load Carried by Plates in Compound Weld

Go Load on weld = 1.414*Shear Stress*Length of Parallel Fillet Weld*Thickness of Plate+0.707*Tensile Stress*Length of Single Fillet Lap Weld*Thickness of Plate

Thickness of Plates given Total Load Carried by Plates in Compound Weld

Go Thickness of Plate = Load on weld/(1.414*Shear Stress*Length of Parallel Fillet Weld+0.707*Tensile Stress*Length of Single Fillet Lap Weld)

Length of Single Fillet Lap Weld given Load Carried by Single Fillet Lap Weld

Go Length of Single Fillet Lap Weld = Load on weld/(0.707*Tensile Stress*Thickness of Plate)

Allowable Tensile Stress given Load Carried by Single Fillet Lap Weld

Go Tensile Stress = Load on weld/(0.707*Length of Single Fillet Lap Weld*Thickness of Plate)

Thickness of Plates given Load Carried by Single Fillet Lap Weld

Go Thickness of Plate = Load on weld/(0.707*Tensile Stress*Length of Single Fillet Lap Weld)

Load Carried by Single Fillet Lap Weld

Go Load on weld = 0.707*Tensile Stress*Length of Single Fillet Lap Weld*Thickness of Plate

Length of Parallel Fillet Weld given Load Carried by Parallel Fillet Weld

Go Length of Parallel Fillet Weld = Load on weld/(1.414*Shear Stress*Thickness of Plate)

Maximum Shear Stress given Load Carried by Parallel Fillet Weld

Go Shear Stress = Load on weld/(1.414*Length of Parallel Fillet Weld*Thickness of Plate)

Thickness of Plates given Load Carried by Parallel Fillet Weld

Go Thickness of Plate = Load on weld/(1.414*Shear Stress*Length of Parallel Fillet Weld)

Load Carried by Parallel Fillet Weld

Go Load on weld = 1.414*Shear Stress*Length of Parallel Fillet Weld*Thickness of Plate

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

What do you mean by maximum shear stress theory?

The maximum shear stress theory states that the failure or yielding of a ductile material will occur when the maximum shear stress of the material equals or exceeds the shear stress value at the yield point in the uniaxial tensile test.

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

Maximum Shear Stress given Total Load Carried by Plates in Compound Weld calculator 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 calculate 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 calculate Maximum Shear Stress given Total Load Carried by Plates in Compound Weld using this online calculator? To use this online calculator for Maximum Shear Stress given Total Load Carried by Plates in Compound Weld, enter Load on weld (W), Tensile Stress (σ_t), Length of Single Fillet Lap Weld (L_single), Thickness of Plate (t_plate) & Length of Parallel Fillet Weld (L_parallel) and hit the calculate button. Here is how the Maximum Shear Stress given Total Load Carried by Plates in Compound Weld calculation can be explained with given input values -> 2.5E-6 = (9000-0.707*32000000*0.0015*0.012)/(1.414*0.2*0.012).

FAQ

What is 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 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 and is represented as 𝜏 = (W-0.707*σ_t*L_single*t_plate)/(1.414*L_parallel*t_plate) or 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). Load on weld is the instantaneous load applied perpendicular to the specimen cross section, 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, The Length of Single Fillet Lap Weld is the distance between two consecutive ends of welds, 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 & Length of Parallel Fillet Weld is the distance between two consecutive end of welds.

How to calculate 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 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 is calculated using 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 calculate Maximum Shear Stress given Total Load Carried by Plates in Compound Weld, you need Load on weld (W), Tensile Stress (σ_t), Length of Single Fillet Lap Weld (L_single), Thickness of Plate (t_plate) & Length of Parallel Fillet Weld (L_parallel). With our tool, you need to enter the respective value for Load on weld, Tensile Stress, Length of Single Fillet Lap Weld, Thickness of Plate & Length of Parallel Fillet Weld 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 Shear Stress?

In this formula, Shear Stress uses Load on weld, Tensile Stress, Length of Single Fillet Lap Weld, Thickness of Plate & Length of Parallel Fillet Weld. We can use 1 other way(s) to calculate the same, which is/are as follows -

Shear Stress = Load on weld/(1.414*Length of Parallel Fillet Weld*Thickness of Plate)

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