Maximum Longitudinal Shear Stress for Rectangular Section Solution

STEP 0: Pre-Calculation Summary
Formula Used
Maximum Longitudinal Shear Stress = (3*Shear Force)/(2*Breadth of Rectangular Section*Depth of Rectangular Section)
τmaxlongitudinal = (3*V)/(2*b*d)
This formula uses 4 Variables
Variables Used
Maximum Longitudinal Shear Stress - (Measured in Megapascal) - Maximum Longitudinal Shear Stress is the greatest extent a shear force can be concentrated in a small area.
Shear Force - (Measured in Kilonewton) - Shear Force is the force which causes shear deformation to occur in the shear plane.
Breadth of Rectangular Section - (Measured in Meter) - The Breadth of Rectangular Section is the distance or measurement from side to side of the section.
Depth of Rectangular Section - (Measured in Meter) - Depth of Rectangular Section is the distance from the top or surface to the bottom of the section.
STEP 1: Convert Input(s) to Base Unit
Shear Force: 24.8 Kilonewton --> 24.8 Kilonewton No Conversion Required
Breadth of Rectangular Section: 300 Millimeter --> 0.3 Meter (Check conversion here)
Depth of Rectangular Section: 450 Millimeter --> 0.45 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
τmaxlongitudinal = (3*V)/(2*b*d) --> (3*24.8)/(2*0.3*0.45)
Evaluating ... ...
τmaxlongitudinal = 275.555555555556
STEP 3: Convert Result to Output's Unit
275555555.555556 Pascal -->275.555555555556 Megapascal (Check conversion here)
FINAL ANSWER
275.555555555556 275.5556 Megapascal <-- Maximum Longitudinal Shear Stress
(Calculation completed in 00.004 seconds)

Credits

Created by Rithik Agrawal
National Institute of Technology Karnataka (NITK), Surathkal
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7 Longitudinal Shear Stress for Rectangular Section Calculators

Transverse Shear given Maximum Longitudinal Shear Stress for Rectangular Section
Go Shear Force = (Maximum Longitudinal Shear Stress*Breadth of Rectangular Section*Depth of Rectangular Section*(2/3))
Breadth for given Maximum Longitudinal Shear Stress for Rectangular Section
Go Breadth of Rectangular Section = (3*Shear Force)/(2*Maximum Longitudinal Shear Stress*Depth of Rectangular Section)
Maximum Longitudinal Shear Stress for Rectangular Section
Go Maximum Longitudinal Shear Stress = (3*Shear Force)/(2*Breadth of Rectangular Section*Depth of Rectangular Section)
Breadth given Average Longitudinal Shear Stress for Rectangular Section
Go Breadth of Rectangular Section = Shear Force/(Average Shear Stress*Depth of Rectangular Section)
Depth given Average Longitudinal Shear Stress for Rectangular Section
Go Depth of Rectangular Section = Shear Force/(Average Shear Stress*Breadth of Rectangular Section)
Average Longitudinal Shear Stress for Rectangular Section
Go Average Shear Stress = Shear Force/(Breadth of Rectangular Section*Depth of Rectangular Section)
Transverse Shear given Average Longitudinal Shear Stress for Rectangular Section
Go Shear Force = Average Shear Stress*Breadth of Rectangular Section*Depth of Rectangular Section

Maximum Longitudinal Shear Stress for Rectangular Section Formula

Maximum Longitudinal Shear Stress = (3*Shear Force)/(2*Breadth of Rectangular Section*Depth of Rectangular Section)
τmaxlongitudinal = (3*V)/(2*b*d)

What is Longitudinal Shear Stress?

The Longitudinal Shear Stress in a beam occurs along the longitudinal axis and is visualized by a slip in the layers of the beam. In addition to the transverse shear force, a longitudinal shear force also exists in the beam. This load produces a shear stress called the longitudinal (or horizontal) shear stress.

How to Calculate Maximum Longitudinal Shear Stress for Rectangular Section?

Maximum Longitudinal Shear Stress for Rectangular Section calculator uses Maximum Longitudinal Shear Stress = (3*Shear Force)/(2*Breadth of Rectangular Section*Depth of Rectangular Section) to calculate the Maximum Longitudinal Shear Stress, The Maximum Longitudinal Shear Stress for Rectangular Section formula is defined as maximum of all the calculated longitudinal shear stresses. Maximum Longitudinal Shear Stress is denoted by τmaxlongitudinal symbol.

How to calculate Maximum Longitudinal Shear Stress for Rectangular Section using this online calculator? To use this online calculator for Maximum Longitudinal Shear Stress for Rectangular Section, enter Shear Force (V), Breadth of Rectangular Section (b) & Depth of Rectangular Section (d) and hit the calculate button. Here is how the Maximum Longitudinal Shear Stress for Rectangular Section calculation can be explained with given input values -> 0.000276 = (3*24800)/(2*0.3*0.45).

FAQ

What is Maximum Longitudinal Shear Stress for Rectangular Section?
The Maximum Longitudinal Shear Stress for Rectangular Section formula is defined as maximum of all the calculated longitudinal shear stresses and is represented as τmaxlongitudinal = (3*V)/(2*b*d) or Maximum Longitudinal Shear Stress = (3*Shear Force)/(2*Breadth of Rectangular Section*Depth of Rectangular Section). Shear Force is the force which causes shear deformation to occur in the shear plane, The Breadth of Rectangular Section is the distance or measurement from side to side of the section & Depth of Rectangular Section is the distance from the top or surface to the bottom of the section.
How to calculate Maximum Longitudinal Shear Stress for Rectangular Section?
The Maximum Longitudinal Shear Stress for Rectangular Section formula is defined as maximum of all the calculated longitudinal shear stresses is calculated using Maximum Longitudinal Shear Stress = (3*Shear Force)/(2*Breadth of Rectangular Section*Depth of Rectangular Section). To calculate Maximum Longitudinal Shear Stress for Rectangular Section, you need Shear Force (V), Breadth of Rectangular Section (b) & Depth of Rectangular Section (d). With our tool, you need to enter the respective value for Shear Force, Breadth of Rectangular Section & Depth of Rectangular Section 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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