ebook - Beam Design Formulas With Shear and Moment Diagrams

Beam Design Formulas With Shear and Moment Diagrams | American Wood Council | American Forest & Paper Association, Inc. | 2007 | English | 20 p | pdf | 425.9 KB | 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.

Book Title

:

Beam Design Formulas With Shear and Moment Diagrams

Authors

:

American Wood Council

Publisher

:

American Forest & Paper Association, Inc.

Year

:

2007

Language

:

English

Pages

:

20 p

File Format

:

pdf

File Size

:

425.9 KB

Free download ebook - Beam Design Formulas With Shear and Moment Diagrams.

Introductions

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 “Shear and Moment Diagrams”

E

= modulus of elasticity, psi

I

= moment of inertia, in.⁴

L

= span length of the bending member, ft.

= span length of the bending member, in.

M

= maximum bending moment, in.-lbs.

P

= total concentrated load, lbs.

R

= reaction load at bearing point, lbs.

V

= shear force, lbs.

W

= total uniform load, lbs.

w

= load per unit length, lbs./in.

Δ

= deflection or deformation, in.

x

= horizontal distance from reaction to point on beam, in.

List of Figures

Figure 1

Simple Beam – Uniformly Distributed Load

Figure 2

Simple Beam – Uniform Load Partially Distributed

Figure 3

Simple Beam – Uniform Load Partially Distributed at One End

Figure 4

Simple Beam – Uniform Load Partially Distributed at Each End

Figure 5

Simple Beam – Load Increasing Uniformly to One End

Figure 6

Simple Beam – Load Increasing Uniformly to Center

Figure 7

Simple Beam – Concentrated Load at Center

Figure 8

Simple Beam – Concentrated Load at Any Point

Figure 9

Simple Beam – Two Equal Concentrated Loads Symmetrically Placed

Figure 10

Simple Beam – Two Equal Concentrated Loads Unsymmetrically Placed

Figure 11

Simple Beam – Two Unequal Concentrated Loads Unsymmetrically Placed

Figure 12

Cantilever Beam – Uniformly Distributed Load

Figure 13

Cantilever Beam – Concentrated Load at Free End

Figure 14

Cantilever Beam – Concentrated Load at Any Point

Figure 15

Beam Fixed at One End, Supported at Other – Uniformly Distributed Load

Figure 16

Beam Fixed at One End, Supported at Other – Concentrated Load at Center

Figure 17

Beam Fixed at One End, Supported at Other – Concentrated Load at Any Point

Figure 18

Beam Overhanging One Support – Uniformly Distributed Load

Figure 19

Beam Overhanging One Support – Uniformly Distributed Load on Overhang

Figure 20

Beam Overhanging One Support – Concentrated Load at End of Overhang

Figure 21

Beam Overhanging One Support – Concentrated Load at Any Point Between Supports

Figure 22

Beam Overhanging Both Supports – Unequal Overhangs – Uniformly Distributed Load

Figure 23

Beam Fixed at Both Ends – Uniformly Distributed Load

Figure 24

Beam Fixed at Both Ends – Concentrated Load at Center

Figure 25

Beam Fixed at Both Ends – Concentrated Load at Any Point

Figure 26

Continuous Beam – Two Equal Spans – Uniform Load on One Span

Figure 27

Continuous Beam – Two Equal Spans – Concentrated Load at Center of One Span

Figure 28

Continuous Beam – Two Equal Spans – Concentrated Load at Any Point

Figure 29

Continuous Beam – Two Equal Spans – Uniformly Distributed Load

Figure 30

Continuous Beam – Two Equal Spans – Two Equal Concentrated Loads Symmetrically Placed

Figure 31

Continuous Beam – Two Unequal Spans – Uniformly Distributed Load

Figure 32

Continuous Beam – Two Unequal Spans – Concentrated Load on Each Span Symmetrically Placed

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