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

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SUMMARY

The discussion focuses on calculating shear stress and shear force in a beam subjected to a vertical load of V = 125 kN. The Moment of Inertia (I) was calculated as 3.43 x 10-4 m4. The maximum shear stress was determined to be 28.4 MPa, the minimum shear stress 21.9 MPa, and the average shear stress 27.4 MPa. The shear force in the web was calculated to be 119.6 kN, emphasizing the importance of understanding the shear stress formula through the first moment of area (Q) rather than merely applying formulas.

PREREQUISITES
  • Understanding of shear stress calculations in structural engineering
  • Familiarity with the Moment of Inertia (I) and its significance
  • Knowledge of the first moment of area (Q) in beam theory
  • Basic proficiency in applying formulas for shear forces and stresses
NEXT STEPS
  • Study the derivation and application of the first moment of area (Q) in shear stress calculations
  • Learn about the significance of Moment of Inertia (I) in beam design
  • Explore advanced shear stress analysis techniques for different beam configurations
  • Investigate software tools for structural analysis, such as SAP2000 or ANSYS
USEFUL FOR

This discussion is beneficial for civil and structural engineers, students studying mechanics of materials, and professionals involved in beam design and analysis.

joemama69
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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[tex]\tau[/tex]max + [tex]\tau[/tex]min) = 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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