Fundamentals of Structural Analysis
Fundamentals of Structural Analysis
5th Edition
ISBN: 9780073398006
Author: Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher: McGraw-Hill 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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