Base of Triangular Section given Maximum Shear Stress Calculator

✖Shear Force is the force which causes shear deformation to occur in the shear plane.ⓘ Shear Force [V]			+10% -10%
✖Maximum Shear Stress is the greatest extent a shear force can be concentrated in a small area.ⓘ Maximum Shear Stress [τ_max]			+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%

✖The Base of Triangular Section is the side that is perpendicular to the height of a triangle.ⓘ Base of Triangular Section given Maximum Shear Stress [b_tri]

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Base of Triangular Section given Maximum Shear Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

Base of Triangular Section - (Measured in Meter) - The Base of Triangular Section is the side that is perpendicular to the height of a triangle.
Shear Force - (Measured in Newton) - Shear Force is the force which causes shear deformation to occur in the shear plane.
Maximum Shear Stress - (Measured in Pascal) - Maximum Shear Stress is the greatest extent a shear force can be concentrated in a small area.
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)
Maximum Shear Stress: 42 Megapascal --> 42000000 Pascal (Check conversion here)
Height of Triangular Section: 56 Millimeter --> 0.056 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

b_tri = (3*V)/(τ_max*h_tri) --> (3*24800)/(42000000*0.056)

Evaluating ... ...

b_tri = 0.0316326530612245

STEP 3: Convert Result to Output's Unit

0.0316326530612245 Meter -->31.6326530612245 Millimeter (Check conversion here)

FINAL ANSWER

31.6326530612245 ≈ 31.63265 Millimeter <-- Base of Triangular Section

(Calculation completed in 00.004 seconds)

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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

Base of Triangular Section given Maximum Shear Stress Formula

LaTeX Go

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

Base of Triangular Section given Maximum Shear Stress calculator uses Base of Triangular Section = (3*Shear Force)/(Maximum Shear Stress*Height of Triangular Section) to calculate the Base of Triangular Section, The Base of Triangular Section given Maximum Shear Stress formula is defined as the base of triangular stress profile when maximum shear stress value of section is already provided. Base of Triangular Section is denoted by b_tri symbol.

How to calculate Base of Triangular Section given Maximum Shear Stress using this online calculator? To use this online calculator for Base of Triangular Section given Maximum Shear Stress, enter Shear Force (V), Maximum Shear Stress (τ_max) & Height of Triangular Section (h_tri) and hit the calculate button. Here is how the Base of Triangular Section given Maximum Shear Stress calculation can be explained with given input values -> 32207.79 = (3*24800)/(42000000*0.056).

FAQ

What is Base of Triangular Section given Maximum Shear Stress?

The Base of Triangular Section given Maximum Shear Stress formula is defined as the base of triangular stress profile when maximum shear stress value of section is already provided and is represented as b_tri = (3*V)/(τ_max*h_tri) or Base of Triangular Section = (3*Shear Force)/(Maximum Shear Stress*Height of Triangular Section). Shear Force is the force which causes shear deformation to occur in the shear plane, Maximum Shear Stress is the greatest extent a shear force can be concentrated in a small area & The Height of Triangular Section is the perpendicular drawn from the vertex of the triangle to the opposite side.

How to calculate Base of Triangular Section given Maximum Shear Stress?

The Base of Triangular Section given Maximum Shear Stress formula is defined as the base of triangular stress profile when maximum shear stress value of section is already provided is calculated using Base of Triangular Section = (3*Shear Force)/(Maximum Shear Stress*Height of Triangular Section). To calculate Base of Triangular Section given Maximum Shear Stress, you need Shear Force (V), Maximum Shear Stress (τ_max) & Height of Triangular Section (h_tri). With our tool, you need to enter the respective value for Shear Force, Maximum Shear Stress & 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.

How many ways are there to calculate Base of Triangular Section?

In this formula, Base of Triangular Section uses Shear Force, Maximum Shear Stress & Height of Triangular Section. We can use 1 other way(s) to calculate the same, which is/are as follows -

Base of Triangular Section = (8*Shear Force)/(3*Shear Stress at Neutral Axis*Height of Triangular Section)

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