Height 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%
✖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%
✖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 given Maximum Shear Stress [h_tri]

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Height of Triangular Section given Maximum Shear Stress Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.
Maximum Shear Stress - (Measured in Pascal) - Maximum Shear Stress is the greatest extent a shear force can be concentrated in a small area.

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)
Maximum Shear Stress: 42 Megapascal --> 42000000 Pascal (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_tri = (3*V)/(b_tri*τ_max) --> (3*24800)/(0.032*42000000)

Evaluating ... ...

h_tri = 0.0553571428571429

STEP 3: Convert Result to Output's Unit

0.0553571428571429 Meter -->55.3571428571429 Millimeter (Check conversion here)

FINAL ANSWER

55.3571428571429 ≈ 55.35714 Millimeter <-- Height of Triangular Section

(Calculation completed in 00.020 seconds)

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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

Height of Triangular Section given Maximum Shear Stress Formula

LaTeX Go

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

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 Height of Triangular Section given Maximum Shear Stress?

Height of Triangular Section given Maximum Shear Stress calculator uses Height of Triangular Section = (3*Shear Force)/(Base of Triangular Section*Maximum Shear Stress) to calculate the Height of Triangular Section, The Height of Triangular Section given Maximum Shear Stress is defined as height of triangular cross-section which is considered. Height of Triangular Section is denoted by h_tri symbol.

How to calculate Height of Triangular Section given Maximum Shear Stress using this online calculator? To use this online calculator for Height of Triangular Section given Maximum Shear Stress, enter Shear Force (V), Base of Triangular Section (b_tri) & Maximum Shear Stress (τ_max) and hit the calculate button. Here is how the Height of Triangular Section given Maximum Shear Stress calculation can be explained with given input values -> 55357.14 = (3*24800)/(0.032*42000000).

FAQ

What is Height of Triangular Section given Maximum Shear Stress?

The Height of Triangular Section given Maximum Shear Stress is defined as height of triangular cross-section which is considered and is represented as h_tri = (3*V)/(b_tri*τ_max) or Height of Triangular Section = (3*Shear Force)/(Base of Triangular Section*Maximum Shear Stress). 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 & Maximum Shear Stress is the greatest extent a shear force can be concentrated in a small area.

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

The Height of Triangular Section given Maximum Shear Stress is defined as height of triangular cross-section which is considered is calculated using Height of Triangular Section = (3*Shear Force)/(Base of Triangular Section*Maximum Shear Stress). To calculate Height of Triangular Section given Maximum Shear Stress, you need Shear Force (V), Base of Triangular Section (b_tri) & Maximum Shear Stress (τ_max). With our tool, you need to enter the respective value for Shear Force, Base of Triangular Section & Maximum Shear Stress 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 Height of Triangular Section?

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

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

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