Check the adequacy of the 8 x 16 S4S Douglas fir–Larch No. 1 beam for deflection. The beam supports the load shown. Allowable total load deflection = (beam span/240). Assume the DL includes the beam weight.Given: For the 8 x 16 S4S Douglas fir–Larch No. 1 beamA = 116.24 in2, Ix = 2327 in4, E = 1.6x106 psi **Deflection Check for Douglas Fir Beam**We are tasked with evaluating the adequacy of an 8 x 16 S4S Douglas Fir-Larch No. 1 beam concerning deflection. The beam supports a specified load, with the allowable total load deflection calculated as the beam span divided by 240. The dead load (DL) is assumed to include the beam's own weight.**Given:**For the 8 x 16 S4S Douglas Fir-Larch No. 1 beam:- Cross-Sectional Area (A) = 116.24 in²- Moment of Inertia (Ix) = 2327 in⁴- Modulus of Elasticity (E) = 1.6 x 10⁶ psi**Diagram Explanation:**The diagram illustrates a simply supported beam with a span \( L = 16' \). The beam is subject to two types of loads:- A distributed dead load \( WD = 300 \, \text{lb/ft} \)- A distributed live load \( WL = 400 \, \text{lb/ft} \)The diagram visually represents these loads acting uniformly across the beam's length, with supports at each end. This setup is critical for evaluating the beam's deflection under the specified loading conditions.

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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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Check the adequacy of the 8 x 16 S4S Douglas fir–Larch No. 1 beam for deflection. The beam supports the load shown. Allowable total load deflection = (beam span/240). Assume the DL includes the beam weight.
Given: For the 8 x 16 S4S Douglas fir–Larch No. 1 beam
A = 116.24 in2, Ix = 2327 in4, E = 1.6x106 psi

**Deflection Check for Douglas Fir Beam**

We are tasked with evaluating the adequacy of an 8 x 16 S4S Douglas Fir-Larch No. 1 beam concerning deflection. The beam supports a specified load, with the allowable total load deflection calculated as the beam span divided by 240. The dead load (DL) is assumed to include the beam's own weight.

**Given:**

For the 8 x 16 S4S Douglas Fir-Larch No. 1 beam:

- Cross-Sectional Area (A) = 116.24 in²
- Moment of Inertia (Ix) = 2327 in⁴
- Modulus of Elasticity (E) = 1.6 x 10⁶ psi

**Diagram Explanation:**

The diagram illustrates a simply supported beam with a span \( L = 16' \). The beam is subject to two types of loads:

- A distributed dead load \( WD = 300 \, \text{lb/ft} \)
- A distributed live load \( WL = 400 \, \text{lb/ft} \)

The diagram visually represents these loads acting uniformly across the beam's length, with supports at each end. This setup is critical for evaluating the beam's deflection under the specified loading conditions.

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