โ” Beam Analysis

Calculate bending moments, shear forces, and deflections for various beam configurations

๐Ÿ“ Beam Configuration

Pin supports at both ends
Allowable Stress: 10 MPaE: 27.4 GPa

Loading Conditions

Beam Diagram

โ†“โ†“โ†“โ†“โ†“โ†“โ†“
10 kN/m
L = 6 m
Section:0.3m ร— 0.5m m
Material:Concrete M30
Type:Simply Supported Beam

๐Ÿ“š Structural Engineering Reference

Beam Formulas

Simply Supported:M_max = wLยฒ/8
Cantilever:M_max = wLยฒ/2
Deflection:ฮด = 5wLโด/(384EI)

Column Formulas

Euler Load:P_cr = ฯ€ยฒEI/(kL)ยฒ
Slenderness:ฮป = kL/r
Axial Stress:ฯƒ = P/A

Safety Factors

  • Dead Load: 1.5
  • Live Load: 1.5
  • Wind Load: 1.5
  • Seismic: 1.0
  • General Design: 1.5-2.0

Material Properties

  • Concrete M25: f'c = 25 MPa
  • Steel Gr 415: fy = 415 MPa
  • E_concrete โ‰ˆ 5000โˆšf'c
  • E_steel = 200 GPa

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