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Transverse Shear force given Maximum Longitudinal Shear Stress in Web for I beam Solution

STEP 0: Pre-Calculation Summary
Formula Used
Transverse shear force = (Maximum Stress*Breadth of the web*8*Second moment of area)/((Breadth of flange*(Overall beam depth^2-Depth of web^2))+(Breadth of the web*(Depth of web^2)))
V = (σmax*bw*8*I)/((B*(D^2-d^2))+(bw*(d^2)))
This formula uses 6 Variables
Variables Used
Maximum Stress - Maximum Stress is the maximum stress that a material withstands before fracture. (Measured in Pascal)
Breadth of the web - Breadth of the web (bw) is the effective width of the member for flanged section. (Measured in Millimeter)
Second moment of area - Second moment of area is a measure of the 'efficiency' of a shape to resist bending caused by loading. The second moment of area is a measure of a shape's resistance to change. (Measured in Meter⁴)
Breadth of flange - The Breadth of flange is the breath of the top of the I-shaped cross section serves as a compression member in resisting compressive stresses. (Measured in Millimeter)
Overall beam depth - The Overall beam depth is the total depth of a beam from its topmost fibre to its bottommost fibre. (Measured in Millimeter)
Depth of web - The Depth of web is the length between the topmost fibre and the bottommost fibre of the web of an I-beam or T-beam. (Measured in Millimeter)
STEP 1: Convert Input(s) to Base Unit
Maximum Stress: 200 Pascal --> 200 Pascal No Conversion Required
Breadth of the web: 300 Millimeter --> 0.3 Meter (Check conversion here)
Second moment of area: 10 Meter⁴ --> 10 Meter⁴ No Conversion Required
Breadth of flange: 800 Millimeter --> 0.8 Meter (Check conversion here)
Overall beam depth: 300 Millimeter --> 0.3 Meter (Check conversion here)
Depth of web: 200 Millimeter --> 0.2 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = (σmax*bw*8*I)/((B*(D^2-d^2))+(bw*(d^2))) --> (200*0.3*8*10)/((0.8*(0.3^2-0.2^2))+(0.3*(0.2^2)))
Evaluating ... ...
V = 92307.6923076923
STEP 3: Convert Result to Output's Unit
92307.6923076923 Newton --> No Conversion Required
FINAL ANSWER
92307.6923076923 Newton <-- Transverse shear force
(Calculation completed in 00.016 seconds)

10+ I-Beam Calculators

Moment of Inertia Given the Maximum Longitudinal Shear Stress in Web for I beam
Area Moment of Inertia = ((Breadth of Flange*Shear Force/8*Breadth of the web)*(Overall depth of I beam^2-Depth of web^2))/Maximum Stress at Crack Tip+(Shear Force*Depth of web^2/8)/Maximum Stress at Crack Tip Go
Maximum Longitudinal Shear Stress in Web for I beam
Maximum Stress at Crack Tip = ((Breadth of Flange*Shear Force/8*Breadth of the web*Moment of Inertia)*(Overall depth of I beam^2-Depth of web^2))+(Shear Force*Depth of web^2/(8*Area Moment of Inertia)) Go
Transverse Shear force given Maximum Longitudinal Shear Stress in Web for I beam
Transverse shear force = (Maximum Stress*Breadth of the web*8*Second moment of area)/((Breadth of flange*(Overall beam depth^2-Depth of web^2))+(Breadth of the web*(Depth of web^2))) Go
Longitudinal Shear Stress in Web for I beam
Stress = ((Breadth of Flange*Shear Force)/(8*Breadth of the web*Area Moment of Inertia))*(Overall depth of I beam^2-Depth of web^2) Go
Breadth of Web given the Longitudinal Shear Stress in Web for I beam
Breadth of the web = (Breadth of Flange*Shear Force/8*Shear Stress*Area Moment of Inertia)*(Overall depth of I beam^2-Web depth^2) Go
Breadth of Flange Given the Longitudinal Shear Stress in Web for I beam
Breadth of Flange = (8*Moment of Inertia*Stress*Breadth of the web)/(Shear Force*(Overall depth of I beam^2-Depth of web^2)) Go
Moment of Inertia given Longitudinal Shear Stress in Web for I beam
Area Moment of Inertia = (Breadth of Flange*Shear Force/8*Stress*Breadth of the web)*(Overall depth of I beam^2-Web depth^2) Go
Transverse Shear for known Longitudinal Shear Stress in Flange for I beam
Shear Force = (8*Area moment of Inertia*Shear Stress)/(Overall depth of I beam^2-Web depth^2) Go
Moment of Inertia for known Longitudinal Shear Stress in Flange for I beam
Area Moment of Inertia = (Shear Force/8*Stress)*(Overall depth of I beam^2-Web depth^2) Go
Longitudinal Shear Stress in Flange for I beam
Stress = (Shear Force/8*Area Moment of Inertia)*(Overall depth of I beam^2-Web depth^2) Go

Transverse Shear force given Maximum Longitudinal Shear Stress in Web for I beam Formula

Transverse shear force = (Maximum Stress*Breadth of the web*8*Second moment of area)/((Breadth of flange*(Overall beam depth^2-Depth of web^2))+(Breadth of the web*(Depth of web^2)))
V = (σmax*bw*8*I)/((B*(D^2-d^2))+(bw*(d^2)))

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.

What is Transverse shear stress?

The shear stress due to bending is often referred to as transverse shear. Unlike normal stress, the highest stress value occurs at the neutral axis, while there is no stress on the walls.

How to Calculate Transverse Shear force given Maximum Longitudinal Shear Stress in Web for I beam?

Transverse Shear force given Maximum Longitudinal Shear Stress in Web for I beam calculator uses Transverse shear force = (Maximum Stress*Breadth of the web*8*Second moment of area)/((Breadth of flange*(Overall beam depth^2-Depth of web^2))+(Breadth of the web*(Depth of web^2))) to calculate the Transverse shear force, The Transverse Shear force given Maximum Longitudinal Shear Stress in Web for I beam is used to calculate the shear force that causes both longitudinal and transverse shear stresses in the I-beam. When a transverse shear force is applied, it tends to cause warping of the cross section. Transverse shear force is denoted by V symbol.

How to calculate Transverse Shear force given Maximum Longitudinal Shear Stress in Web for I beam using this online calculator? To use this online calculator for Transverse Shear force given Maximum Longitudinal Shear Stress in Web for I beam, enter Maximum Stress max), Breadth of the web (bw), Second moment of area (I), Breadth of flange (B), Overall beam depth (D) & Depth of web (d) and hit the calculate button. Here is how the Transverse Shear force given Maximum Longitudinal Shear Stress in Web for I beam calculation can be explained with given input values -> 92307.69 = (200*0.3*8*10)/((0.8*(0.3^2-0.2^2))+(0.3*(0.2^2))).

FAQ

What is Transverse Shear force given Maximum Longitudinal Shear Stress in Web for I beam?
The Transverse Shear force given Maximum Longitudinal Shear Stress in Web for I beam is used to calculate the shear force that causes both longitudinal and transverse shear stresses in the I-beam. When a transverse shear force is applied, it tends to cause warping of the cross section and is represented as V = (σmax*bw*8*I)/((B*(D^2-d^2))+(bw*(d^2))) or Transverse shear force = (Maximum Stress*Breadth of the web*8*Second moment of area)/((Breadth of flange*(Overall beam depth^2-Depth of web^2))+(Breadth of the web*(Depth of web^2))). Maximum Stress is the maximum stress that a material withstands before fracture, Breadth of the web (bw) is the effective width of the member for flanged section, Second moment of area is a measure of the 'efficiency' of a shape to resist bending caused by loading. The second moment of area is a measure of a shape's resistance to change, The Breadth of flange is the breath of the top of the I-shaped cross section serves as a compression member in resisting compressive stresses, The Overall beam depth is the total depth of a beam from its topmost fibre to its bottommost fibre & The Depth of web is the length between the topmost fibre and the bottommost fibre of the web of an I-beam or T-beam.
How to calculate Transverse Shear force given Maximum Longitudinal Shear Stress in Web for I beam?
The Transverse Shear force given Maximum Longitudinal Shear Stress in Web for I beam is used to calculate the shear force that causes both longitudinal and transverse shear stresses in the I-beam. When a transverse shear force is applied, it tends to cause warping of the cross section is calculated using Transverse shear force = (Maximum Stress*Breadth of the web*8*Second moment of area)/((Breadth of flange*(Overall beam depth^2-Depth of web^2))+(Breadth of the web*(Depth of web^2))). To calculate Transverse Shear force given Maximum Longitudinal Shear Stress in Web for I beam, you need Maximum Stress max), Breadth of the web (bw), Second moment of area (I), Breadth of flange (B), Overall beam depth (D) & Depth of web (d). With our tool, you need to enter the respective value for Maximum Stress, Breadth of the web, Second moment of area, Breadth of flange, Overall beam depth & Depth of web 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 Transverse shear force?
In this formula, Transverse shear force uses Maximum Stress, Breadth of the web, Second moment of area, Breadth of flange, Overall beam depth & Depth of web. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Transverse shear force = (8*Area moment of Inertia*Shear Stress*Width of Beam Web)/(Width of Flange*(Overall beam depth^2-Depth of web^2))
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