Calculate Shear Stress & Force in Beam for V=125kN

AI Thread Summary
The discussion focuses on calculating shear stress and force in a beam subjected to a shear force of 125 kN. The user calculated the moment of inertia and determined the maximum shear stress to be 28.4 MPa, minimum shear stress at 21.9 MPa, and average shear stress at 27.4 MPa. The shear force in the web was calculated to be 119.6 kN. There is a suggestion to understand the shear stress formula using the first moment of area Q instead of merely applying formulas without comprehension. Understanding the underlying principles is emphasized as crucial for accurate calculations.
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Homework Statement



Determine the Max, Min & average shear stress, and the shear force in web

V = 125kN

Note th attachment

Homework Equations





The Attempt at a Solution



First I calculated the Moment of Inertia

I = (1/12)(bh3 - bh13 + th13) = 3.43X10-4 m4

Max Shear Stress = (Vb/8It)(bh2 - bh12 + th12) = 28.4MPa

Min Shear Stress = (V/8It)(h2 - h12) = 21.9MPa

Avg Shear Stress = (V/th1) = 27.4MPa

Vweb = (th1/3)(2\taumax + \taumin) = 119.6 kN

Did I use all the correct equation. The example uses these equations but says they are in the web.
 

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I guess if you are just using some given formulas ( corrected for typo errorrs) for max, min, avg shear stresses in a web and plugging in numbers, then there's not much I can say. Far better to understand the shear stress formula using the first moment of area Q. Otherwise it's just plug and chug.
 

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