Maximum Shear Stress of Triangular Section Calculator

✖Shear Force is the force which causes shear deformation to occur in the shear plane.ⓘ Shear Force [V]			+10% -10%
✖The Base of Triangular Section is the side that is perpendicular to the height of a triangle.ⓘ Base of Triangular Section [b_tri]			+10% -10%
✖The Height of Triangular Section is the perpendicular drawn from the vertex of the triangle to the opposite side.ⓘ Height of Triangular Section [h_tri]			+10% -10%

✖Maximum Shear Stress is the greatest extent a shear force can be concentrated in a small area.ⓘ Maximum Shear Stress of Triangular Section [τ_max]

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Maximum Shear Stress of Triangular Section Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Shear Stress = (3*Shear Force)/(Base of Triangular Section*Height of Triangular Section)
τ_max = (3*V)/(b_tri*h_tri)
This formula uses 4 Variables

Variables Used

Maximum Shear Stress - (Measured in Pascal) - Maximum Shear Stress is the greatest extent a shear force can be concentrated in a small area.
Shear Force - (Measured in Newton) - Shear Force is the force which causes shear deformation to occur in the shear plane.
Base of Triangular Section - (Measured in Meter) - The Base of Triangular Section is the side that is perpendicular to the height of a triangle.
Height of Triangular Section - (Measured in Meter) - The Height of Triangular Section is the perpendicular drawn from the vertex of the triangle to the opposite side.

STEP 1: Convert Input(s) to Base Unit

Shear Force: 24.8 Kilonewton --> 24800 Newton (Check conversion here)
Base of Triangular Section: 32 Millimeter --> 0.032 Meter (Check conversion here)
Height of Triangular Section: 56 Millimeter --> 0.056 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

τ_max = (3*V)/(b_tri*h_tri) --> (3*24800)/(0.032*0.056)

Evaluating ... ...

τ_max = 41517857.1428571

STEP 3: Convert Result to Output's Unit

41517857.1428571 Pascal -->41.5178571428571 Megapascal (Check conversion here)

FINAL ANSWER

41.5178571428571 ≈ 41.51786 Megapascal <-- Maximum Shear Stress

(Calculation completed in 00.004 seconds)

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Created by Rithik Agrawal

National Institute of Technology Karnataka (NITK), Surathkal

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< Maximum Stress of a Triangular Section Calculators

Height of Triangular Section given Maximum Shear Stress

LaTeX Go Height of Triangular Section = (3*Shear Force)/(Base of Triangular Section*Maximum Shear Stress)

Base of Triangular Section given Maximum Shear Stress

LaTeX Go Base of Triangular Section = (3*Shear Force)/(Maximum Shear Stress*Height of Triangular Section)

Maximum Shear Stress of Triangular Section

LaTeX Go Maximum Shear Stress = (3*Shear Force)/(Base of Triangular Section*Height of Triangular Section)

Transverse Shear Force of Triangular Section given Maximum Shear Stress

LaTeX Go Shear Force = (Height of Triangular Section*Base of Triangular Section*Maximum Shear Stress)/3

Maximum Shear Stress of Triangular Section Formula

LaTeX Go

Maximum Shear Stress = (3*Shear Force)/(Base of Triangular Section*Height of Triangular Section)
τ_max = (3*V)/(b_tri*h_tri)

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 Shear Stress of Triangular Section?

Maximum Shear Stress of Triangular Section calculator uses Maximum Shear Stress = (3*Shear Force)/(Base of Triangular Section*Height of Triangular Section) to calculate the Maximum Shear Stress, The Maximum Shear Stress of Triangular Section formula is defined as force per unit area experienced by neutral axis. Maximum Shear Stress is denoted by τ_max symbol.

How to calculate Maximum Shear Stress of Triangular Section using this online calculator? To use this online calculator for Maximum Shear Stress of Triangular Section, enter Shear Force (V), Base of Triangular Section (b_tri) & Height of Triangular Section (h_tri) and hit the calculate button. Here is how the Maximum Shear Stress of Triangular Section calculation can be explained with given input values -> 4.2E-5 = (3*24800)/(0.032*0.056).

FAQ

What is Maximum Shear Stress of Triangular Section?

The Maximum Shear Stress of Triangular Section formula is defined as force per unit area experienced by neutral axis and is represented as τ_max = (3*V)/(b_tri*h_tri) or Maximum Shear Stress = (3*Shear Force)/(Base of Triangular Section*Height of Triangular Section). Shear Force is the force which causes shear deformation to occur in the shear plane, The Base of Triangular Section is the side that is perpendicular to the height of a triangle & The Height of Triangular Section is the perpendicular drawn from the vertex of the triangle to the opposite side.

How to calculate Maximum Shear Stress of Triangular Section?

The Maximum Shear Stress of Triangular Section formula is defined as force per unit area experienced by neutral axis is calculated using Maximum Shear Stress = (3*Shear Force)/(Base of Triangular Section*Height of Triangular Section). To calculate Maximum Shear Stress of Triangular Section, you need Shear Force (V), Base of Triangular Section (b_tri) & Height of Triangular Section (h_tri). With our tool, you need to enter the respective value for Shear Force, Base of Triangular Section & Height of Triangular 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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