> ## Documentation Index
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> Use this file to discover all available pages before exploring further.

# Wood Beam Validation Examples

> Validation examples for wood beams (ASD and LRFD) to NDS 2018: Calcs.com moment, shear and deflection results compared with textbook results.

**Calculators used:** [Design a Wood Beam (ASD) to NDS 2024](/docs/calculators/us/beams/timberBeamASDNDS-2024), [Design a Wood Beam (LRFD) to NDS 2024](/docs/calculators/us/beams/timberBeamLRFDNDS-2024)

## Introduction

* Quick 2-3 sentences on why an engineer would want validation examples
* For the rest of the article, follow similar format as existing validation example articles

In the following examples, we’ll go through the design of a wood beam (ASD/LRFD) to NDS 2018. The following examples outline the results for moment, shear and deflection design in Calcs.com compared to textbook results. These examples come from an extensive list of different sources used to verify the accuracy of our calculators.  

### Example 1:

Reference: Donald E. Breyer, P.E., *Design of Wood Structures ASD/LRFD* McGraw-Hill. Example 6-18 (ASD).

### Inputs

| \*\*Parameter \*\*  | **Value**             |
| :------------------ | :-------------------- |
| Beam Size and Grade | 2x6 D.Fir-L No. 1     |
| Beam Plan Length    | 13.5 ft               |
| Continuous Bracing  | Top & Bottom Braced   |
| Applied Loads       | D: 14 psf, Lr: 20 psf |

### Outputs

ASD (Example 6-18)

| **Result**                    | **Example**                                                 | **Calcs.com** |
| :---------------------------- | :---------------------------------------------------------- | :------------ |
| Section Modulus, S            | 7.56 in^3                                                   | 7.56 in^3     |
| Adjusted Bending Strength F’b | 1870 psi                                                    | 1870 psi      |
| Allowable Bending Moment, M   | M =F'b S   = 1870 psi 7.56 in3  =14137.2 lbin  =1178.1 lbft | 1177.7 lb-ft  |
| Adjusted Shear Strength, F’v  | 225 psi                                                     | 225 psi       |
| Allowable Shear, V            | V = 23F'v A   = 23225 psi8.25 in2  =1237.5 lb               | 1237.5 lb     |
| Live/short-term deflection    | 0.56 in                                                     | -0.564 in     |
| Long-term deflection          | 0.76 in                                                     | -0.761 in     |
| Bearing F’c,perp              | 625 psi                                                     | 625 psi       |

<iframe src="https://www.loom.com/embed/5f1a6d415af74df8b6a384d4d806646b?sid=80c08699-c889-42d9-bc7e-05cfbfedd078" title="Embedded content" className="w-full h-96 rounded-xl" />

### Example 2:

Reference: Donald E. Breyer, P.E., *Design of Wood Structures ASD/LRFD* McGraw-Hill. Example 6-19 (LRFD).

### Inputs

| \*\*Parameter \*\*  | **Value**             |
| :------------------ | :-------------------- |
| Beam Size and Grade | 2x6 D.Fir-L No. 1     |
| Beam Plan Length    | 13.5 ft               |
| Continuous Bracing  | Top & Bottom Braced   |
| Applied Loads       | D: 14 psf, Lr: 20 psf |

### Outputs

| **Result**                    | **Example**                  | **Calcs.com** |
| :---------------------------- | :--------------------------- | :------------ |
| Section Modulus, S            | 7.56 in^3                    | 7.56 in^3     |
| Adjusted Bending Strength F’b | 2.58 ksi                     | 2.582 ksi     |
| Allowable Bending Moment, M   | M'n=19.504.8 kin  =1625 lbft | 1627.3 lb-ft  |
| Adjusted Shear Strength, F’v  | 311 psi                      | 311 psi       |
| Allowable Shear, V            | 1710 lb                      | 1710 lb       |
| Bearing F’c,perp              | 938 psi                      | 939 psi       |

<iframe src="https://www.loom.com/embed/e61537484b6e4948aeeb3336d69e574d?sid=8f588b7d-3909-44e5-9d7e-68955bd47a0b" title="Embedded content" className="w-full h-96 rounded-xl" />

### Example 3:

Reference: Aghayere Ex 4.1

### Inputs

| \*\*Parameter \*\*  | **Value**             |
| :------------------ | :-------------------- |
| Beam Size and Grade | 2x14 D.Fir-L SS       |
| Beam Plan Length    | 19 ft                 |
| Continuous Bracing  | Top & Bottom Braced   |
| Applied Loads       | D: 40 psf, Lr: 40 psf |

### Outputs

| **Result**                      | **Example** | **Calcs.com** |
| :------------------------------ | :---------- | :------------ |
| Adjusted Bending Strength F’b   | 1553 psi    | 1552.5 psi    |
| Adjusted Shear Strength F’v     | 180 psi     | 180 psi       |
| Live/short-term deflection      | 0.29 in     | -0.283 in     |
| Dead/Long-term deflection\*     | 0.29 in     | -0.425 in     |
| Minimum Required Bearing Length | 1.09 in     | 1.08 in       |

\*The difference in long term deflection is due to the total load combination for the governing long term deflection. The example considers only the dead load, while Calcs.com includes the D+L load combination to consider creep effects. By viewing the load combination D on the graphs, the value of 0.29 inches can be observed.

<iframe src="https://www.loom.com/embed/f09ae7d7ab064fcda91b298e700fb9df?sid=4cb8ce79-5db3-48b0-a721-06d611a76fc2" title="Embedded content" className="w-full h-96 rounded-xl" />

## ASD and LRFD validation examples

### US Wood Beam - Validation Examples (ASD & LRFD)

#### Introduction

In the following examples, we’ll go through the design of a wood beam (ASD/LRFD) to NDS 2018. The following examples outline the results for moment, shear and deflection design in Calcs.com compared to textbook results. These examples come from an extensive list of different sources used to verify the accuracy of our calculators.

Want to dive deeper into these examples? Visit McGraw-Hill AccessEngineering to access these worked examples, and more, in the textbooks!

##### Example 1

Reference: Donald E. Breyer, P.E., Design of Wood Structures ASD/LRFD McGraw-Hill. Example 6-18 (ASD).

##### Inputs

<img src="https://mintcdn.com/clearcalcs/ZLai7tIFrCldPZjT/images/673d7ecaa6ddb538e638591a_Screen_Shot_2023_07_08_at_12_22_44_PM_895685dd84.png?fit=max&auto=format&n=ZLai7tIFrCldPZjT&q=85&s=e64adffd27eab1ddb8b7a48fd646fc82" alt="673d7ecaa6ddb538e638591a_Screen_Shot_2023_07_08_at_12_22_44_PM_895685dd84.png" width="1008" height="268" data-path="images/673d7ecaa6ddb538e638591a_Screen_Shot_2023_07_08_at_12_22_44_PM_895685dd84.png" />

##### Outputs - ASD (Example 6-18)

<img src="https://mintcdn.com/clearcalcs/ZLai7tIFrCldPZjT/images/673d7ecaa6ddb538e6385914_US_wood_beam_validation_examples_table_2_43b0cf0af5.png?fit=max&auto=format&n=ZLai7tIFrCldPZjT&q=85&s=02dc7792e8d8b2ffc1d904192cb41572" alt="673d7ecaa6ddb538e6385914_US_wood_beam_validation_examples_table_2_43b0cf0af5.png" width="1006" height="708" data-path="images/673d7ecaa6ddb538e6385914_US_wood_beam_validation_examples_table_2_43b0cf0af5.png" />

<img src="https://mintcdn.com/clearcalcs/j8jrXJ34pEKVrfOj/images/673d7ecaa6ddb538e638591e_US_wood_beam_validation_examples_example_1_9449cc7cf9.png?fit=max&auto=format&n=j8jrXJ34pEKVrfOj&q=85&s=262b3f66638b067cdb58eca5d8ad6a66" alt="673d7ecaa6ddb538e638591e_US_wood_beam_validation_examples_example_1_9449cc7cf9.png" width="1008" height="446" data-path="images/673d7ecaa6ddb538e638591e_US_wood_beam_validation_examples_example_1_9449cc7cf9.png" />

##### Example 2

Reference: Donald E. Breyer, P.E., Design of Wood Structures ASD/LRFD McGraw-Hill. Example 6-18 (LRFD).

##### Inputs

<img src="https://mintcdn.com/clearcalcs/j8jrXJ34pEKVrfOj/images/673d7ecaa6ddb538e6385925_US_wood_beam_validation_examples_table_1_6a84c9d906.png?fit=max&auto=format&n=j8jrXJ34pEKVrfOj&q=85&s=9d82f59dc81462e47a27510501350a01" alt="673d7ecaa6ddb538e6385925_US_wood_beam_validation_examples_table_1_6a84c9d906.png" width="1008" height="272" data-path="images/673d7ecaa6ddb538e6385925_US_wood_beam_validation_examples_table_1_6a84c9d906.png" />

##### Outputs

<img src="https://mintcdn.com/clearcalcs/ZLai7tIFrCldPZjT/images/673d7ecaa6ddb538e638590f_US_wood_beam_validation_examples_table_4_62990403c9.png?fit=max&auto=format&n=ZLai7tIFrCldPZjT&q=85&s=99bd6f8ee26752190653fece479bb8ab" alt="673d7ecaa6ddb538e638590f_US_wood_beam_validation_examples_table_4_62990403c9.png" width="1010" height="438" data-path="images/673d7ecaa6ddb538e638590f_US_wood_beam_validation_examples_table_4_62990403c9.png" />

<img src="https://mintcdn.com/clearcalcs/j8jrXJ34pEKVrfOj/images/673d7ecaa6ddb538e6385921_US_wood_beam_validation_examples_example_2_4d5b2d9c2b.png?fit=max&auto=format&n=j8jrXJ34pEKVrfOj&q=85&s=eaf22993775b125f0dc4b5009808d2fe" alt="673d7ecaa6ddb538e6385921_US_wood_beam_validation_examples_example_2_4d5b2d9c2b.png" width="1010" height="486" data-path="images/673d7ecaa6ddb538e6385921_US_wood_beam_validation_examples_example_2_4d5b2d9c2b.png" />

##### Example 3

Reference: Aghayere Ex 4.1

##### Inputs

<img src="https://mintcdn.com/clearcalcs/ZLai7tIFrCldPZjT/images/673d7ec9a6ddb538e638590a_US_wood_beam_validation_examples_table_5_0f16d998a9.png?fit=max&auto=format&n=ZLai7tIFrCldPZjT&q=85&s=bb2e4da06c24b1bdb107ea9a0cd692b0" alt="673d7ec9a6ddb538e638590a_US_wood_beam_validation_examples_table_5_0f16d998a9.png" width="1006" height="270" data-path="images/673d7ec9a6ddb538e638590a_US_wood_beam_validation_examples_table_5_0f16d998a9.png" />

##### Outputs

<img src="https://mintcdn.com/clearcalcs/ZLai7tIFrCldPZjT/images/673d7ecaa6ddb538e6385917_US_wood_beam_validation_examples_table_6_8437a07d47.png?fit=max&auto=format&n=ZLai7tIFrCldPZjT&q=85&s=3c342e0d472911bfb6151c0b08edab31" alt="673d7ecaa6ddb538e6385917_US_wood_beam_validation_examples_table_6_8437a07d47.png" width="1010" height="372" data-path="images/673d7ecaa6ddb538e6385917_US_wood_beam_validation_examples_table_6_8437a07d47.png" />

\*The difference in long term deflection is due to the total load combination for the governing long term deflection. The example considers only the dead load, while Calcs.com includes the D+L load combination to consider creep effects. By viewing the load combination D on the graphs, the value of 0.29 inches can be observed.

<img src="https://mintcdn.com/clearcalcs/j8jrXJ34pEKVrfOj/images/673d7ecaa6ddb538e6385934_US_wood_beam_validation_examples_example_3_1fbbf6206a.png?fit=max&auto=format&n=j8jrXJ34pEKVrfOj&q=85&s=7c68d4fb2b92a8870785bf27af23c968" alt="673d7ecaa6ddb538e6385934_US_wood_beam_validation_examples_example_3_1fbbf6206a.png" width="1014" height="444" data-path="images/673d7ecaa6ddb538e6385934_US_wood_beam_validation_examples_example_3_1fbbf6206a.png" />
