**Problem 8:**Using both LRFD and ASD, select the most economical sections, with \( F_y = 50 \, \text{ksi} \), unless otherwise specified, and assuming full lateral bracing for the compression flanges. Working or service loads are given for each case, and beam weights are not included.**Figure Analysis:**1. **Diagram:** - The diagram depicts a beam with support at both ends, indicating a simply supported beam. - The length of the beam is 28 feet.2. **Loads:** - \( D = 1.50 \, \text{kips/ft} \): This represents the dead load applied uniformly along the beam. - \( L = 3.25 \, \text{kips/ft} \): This represents the live load applied uniformly along the beam.**Solution Reference:**- The problem refers to **Figure P9-1** and provides a solution suggestion: \( \text{(Ans. W24} \times 76 \, \text{LRFD and ASD)} \), which indicates the economical section using W24×76 for both LRFD (Load and Resistance Factor Design) and ASD (Allowable Stress Design).

Dead load, Live load, Length of beam, Yield strength, To find: Economical section for the beam.

Using both LRFD and ASD, select the most economical sections, with F, = 50 ksi, unless otherwise specified, and assuming full lateral bracing for the compression flanges. Working or service loads are given for each case, and beam weights are not included.

Using both LRFD and ASD, select the most economical sections, with F, = 50 ksi, unless otherwise specified, and assuming full lateral bracing for the compression flanges. Working or service loads are given for each case, and beam weights are not included.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

**Problem 8:**

Using both LRFD and ASD, select the most economical sections, with \( F_y = 50 \, \text{ksi} \), unless otherwise specified, and assuming full lateral bracing for the compression flanges. Working or service loads are given for each case, and beam weights are not included.

**Figure Analysis:**

1. **Diagram:**
- The diagram depicts a beam with support at both ends, indicating a simply supported beam.
- The length of the beam is 28 feet.

2. **Loads:**
- \( D = 1.50 \, \text{kips/ft} \): This represents the dead load applied uniformly along the beam.
- \( L = 3.25 \, \text{kips/ft} \): This represents the live load applied uniformly along the beam.

**Solution Reference:**

- The problem refers to **Figure P9-1** and provides a solution suggestion: \( \text{(Ans. W24} \times 76 \, \text{LRFD and ASD)} \), which indicates the economical section using W24×76 for both LRFD (Load and Resistance Factor Design) and ASD (Allowable Stress Design).

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Step 1: Mention the given data.

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Step 2: Determine the maximum moment using LRFD.

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Step 3: Determine the required section modulus.

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Step 4: Determine the maximum moment including self weight.

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Step 5: Determine the maximum moment using ASD.

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Step 6: Check

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