Fundamentals Of Structural Analysis:
Fundamentals Of Structural Analysis:
5th Edition
ISBN: 9781260083330
Author: Leet, Kenneth
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Chapter 2, Problem 1P
To determine

Calculate the dead weight of a 1-ft-long segment of a pre-stressed beam.

Expert Solution & Answer
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Answer to Problem 1P

The dead weight of a 1-ft-long segment of a pre-stressed beam is 900lb/ft_.

Explanation of Solution

Given information:

The unit weight of the lightweight concrete (γ) is 120lbs/ft3.

Calculation:

Sketch the cross section of the beam as shown in Figure 1.

Fundamentals Of Structural Analysis:, Chapter 2, Problem 1P

Refer to Figure 1.

Calculate the area of cross section as shown below.

A=(6×72+2×(12×32×6)+30×8+12×18)in.2×(1ft12in.)2=7.5ft2

Calculate the dead weight of a 1-ft-long segment of a pre-stressed beam as shown below.

Dead weight=γA=120×7.5=900lb/ft

Therefore, the dead weight of a 1-ft-long segment of a pre-stressed beam is 900lb/ft_.

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