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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”

= 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.

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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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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Figure 1Simple Beam – Uniformly Distributed Load

Figure 2Simple Beam – Uniform Load Partially Distributed

Figure 3Simple Beam – Uniform Load Partially Distributed at One End

Figure 4Simple Beam – Uniform Load Partially Distributed at Each End

Figure 5Simple Beam – Load Increasing Uniformly to One End

Figure 6Simple Beam – Load Increasing Uniformly to Center

Figure 7Simple Beam – Concentrated Load at Center

Figure 8Simple Beam – Concentrated Load at Any Point

Figure 9Simple Beam – Two Equal Concentrated Loads Symmetrically Placed

Figure 10Simple Beam – Two Equal Concentrated Loads Unsymmetrically Placed

Figure 11Simple Beam – Two Unequal Concentrated Loads Unsymmetrically Placed

Figure 12Cantilever Beam – Uniformly Distributed Load

Figure 13Cantilever Beam – Concentrated Load at Free End

Figure 14Cantilever Beam – Concentrated Load at Any Point

Figure 15Beam Fixed at One End, Supported at Other – Uniformly Distributed Load

Figure 16Beam Fixed at One End, Supported at Other – Concentrated Load at Center

Figure 17Beam Fixed at One End, Supported at Other – Concentrated Load at Any Point

Figure 18Beam Overhanging One Support – Uniformly Distributed Load

Figure 19Beam Overhanging One Support – Uniformly Distributed Load on Overhang

Figure 20Beam Overhanging One Support – Concentrated Load at End of Overhang

Figure 21Beam Overhanging One Support – Concentrated Load at Any Point Between Supports

Figure 22Beam Overhanging Both Supports – Unequal Overhangs – Uniformly Distributed Load

Figure 23Beam Fixed at Both Ends – Uniformly Distributed Load

Figure 24Beam Fixed at Both Ends – Concentrated Load at Center

Figure 25Beam Fixed at Both Ends – Concentrated Load at Any Point

Figure 26Continuous Beam – Two Equal Spans – Uniform Load on One Span

Figure 27Continuous Beam – Two Equal Spans – Concentrated Load at Center of One Span

Figure 28Continuous Beam – Two Equal Spans – Concentrated Load at Any Point

Figure 29Continuous Beam – Two Equal Spans – Uniformly Distributed Load

Figure 30Continuous Beam – Two Equal Spans – Two Equal Concentrated Loads Symmetrically Placed

Figure 31Continuous Beam – Two Unequal Spans – Uniformly Distributed Load

Figure 32Continuous Beam – Two Unequal Spans – Concentrated Load on Each Span Symmetrically Placed

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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