Formulas Para Vigas

BEAM DESIGN FORMULAS WITH SHEAR AND MOMENT DIAGRAMS
2005 EDITION
ANSI/AF&PA NDS-2005
Approval Date: JANUARY 6, 2005

ASD/LRFD

N DS
®
NATIONAL DESIGN SPECIFICATION® FOR WOOD CONSTRUCTION
WITH COMMENTARY AND SUPPLEMENT: DESIGN VALUES FOR WOOD CONSTRUCTION
x w

American Forest & Paper Association American Wood Council

Wood American Wood Council

R 2 V Shear 2

R

V

MmaxMoment

American Forest &

DESIGN AID No. 6

Paper Association

BEAM FORMULAS WITH SHEAR AND MOMENT DIAGRAMS

The American Wood Council (AWC) is part of the wood products group of the American Forest & Paper Association (AF&PA). AF&PA is the national trade association of the forest, paper, and wood products industry, representing member companies engaged in growing, harvesting, andprocessing wood and wood fiber, manufacturing pulp, paper, and paperboard products from both virgin and recycled fiber, and producing engineered and traditional wood products. For more information see www.afandpa.org.

While every effort has been made to insure the accuracy of the information presented, and special effort has been made to assure that the information reflects the state-ofthe-art,neither the American Forest & Paper Association nor its members assume any responsibility for any particular design prepared from this publication. Those using this document assume all liability from its use.

Copyright © 2007 American Forest & Paper Association, Inc. American Wood Council 1111 19th St., NW, Suite 800 Washington, DC 20036 202-463-4713
awcinfo@afandpa.org www.awc.org
AMERICAN WOODCOUNCIL

Introduction Introduction Figures 1 through 32 provide a series of shear and moment diagrams with accompanying formulas for design of beams under various static loading conditions. Shear and moment diagrams and formulas are excerpted from the Western Woods Use Book, 4th edition, and are provided herein as a courtesy of Western Wood Products Association.

Notations Relative to “Shearand Moment Diagrams” E = I = L = R = M= P = R = V = W= w = Δ = x = modulus of elasticity, psi moment of inertia, in.4 span length of the bending member, ft. span length of the bending member, in. maximum bending moment, in.-lbs. total concentrated load, lbs. reaction load at bearing point, lbs. shear force, lbs. total uniform load, lbs. load per unit length, lbs./in. deflection or deformation, in.horizontal distance from reaction to point on beam, in.

Figures List of Figures
Figure 1 Figure 2 Figure 3 Figure 4 Figure 5 Figure 6 Figure 7 Figure 8 Figure 9 Figure 10 Figure 11 Figure 12 Figure 13 Figure 14 Figure 15 Figure 16 Figure 17 Figure 18 Figure 19 Figure 20 Figure 21 Figure 22 Figure 23 Figure 24 Figure 25 Figure 26 Figure 27 Figure 28 Figure 29 Figure 30 Figure 31 Figure 32 SimpleBeam – Uniformly Distributed Load ................................................................................................ 4 Simple Beam – Uniform Load Partially Distributed..................................................................................... 4 Simple Beam – Uniform Load Partially Distributed at One End .................................................................. 5Simple Beam – Uniform Load Partially Distributed at Each End ................................................................ 5 Simple Beam – Load Increasing Uniformly to One End .............................................................................. 6 Simple Beam – Load Increasing Uniformly to Center .................................................................................. 6 SimpleBeam – Concentrated Load at Center ............................................................................................... 7 Simple Beam – Concentrated Load at Any Point.......................................................................................... 7 Simple Beam – Two Equal Concentrated Loads Symmetrically Placed....................................................... 8 Simple...