**Given:** Consider the beam below with full lateral support of the compression flange throughout the entire length of the beam. Self-weight of the beam is not included in the service loads indicated.**Diagram Description:**- The beam is supported at both ends, with one end fixed and the other end supported by a roller.- The beam is divided into three segments of 10 feet each, totaling 30 feet in length.- Two point loads (P) are applied to the beam, each located 10 feet apart, starting from the left support.- A uniform distributed load (w) is applied across the entire length of the beam.**Loads:**- Point load, \(P_L = 25 \text{ k}\)- Distributed load, \(w_D = 2 \text{ k/ft}\)**Find:** The lightest W-shape beam. LRFD and ASD.**Note:** LRFD stands for Load and Resistance Factor Design, and ASD stands for Allowable Stress Design.

PL =25 k WD =2 K/ft L=30 ft To find- The lightest W beam

Given: Consider the beam below with full lateral support of the compression flange throughout the entire length of the beam. Self-weight of the beam is not included in the service loads indicated. IP k k 10ft 10ft 30 ft 10ft Copyright ©2012 Pearson Education, publishing as Prentice Hall Find: The lightest W-shape beam. LRFD and ASD W PL = 25 k WD = 2k/ft

Given: Consider the beam below with full lateral support of the compression flange throughout the entire length of the beam. Self-weight of the beam is not included in the service loads indicated. IP k k 10ft 10ft 30 ft 10ft Copyright ©2012 Pearson Education, publishing as Prentice Hall Find: The lightest W-shape beam. LRFD and ASD W PL = 25 k WD = 2k/ft

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

**Given:** Consider the beam below with full lateral support of the compression flange throughout the entire length of the beam. Self-weight of the beam is not included in the service loads indicated.

**Diagram Description:**
- The beam is supported at both ends, with one end fixed and the other end supported by a roller.
- The beam is divided into three segments of 10 feet each, totaling 30 feet in length.
- Two point loads (P) are applied to the beam, each located 10 feet apart, starting from the left support.
- A uniform distributed load (w) is applied across the entire length of the beam.

**Loads:**
- Point load, \(P_L = 25 \text{ k}\)
- Distributed load, \(w_D = 2 \text{ k/ft}\)

**Find:** The lightest W-shape beam. LRFD and ASD.

**Note:** LRFD stands for Load and Resistance Factor Design, and ASD stands for Allowable Stress Design.

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