   # Note For Problems 9.6-1 through 9.6-5, use the lower-bound moment of inertia for deflection of the composite section. Compute this as illustrated in Example 9.7. 9.6-1 Compute the following deflections for the beam in Problem 9.2-1. a. Maximum deflection before the concrete has cured. b. Maximum total deflection after composite behavior has been attained. ### Steel Design (Activate Learning wi...

6th Edition
Segui + 1 other
Publisher: Cengage Learning
ISBN: 9781337094740

#### Solutions

Chapter
Section ### Steel Design (Activate Learning wi...

6th Edition
Segui + 1 other
Publisher: Cengage Learning
ISBN: 9781337094740
Chapter 9, Problem 9.6.1P
Textbook Problem
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## Note For Problems 9.6-1 through 9.6-5, use the lower-bound moment of inertia for deflection of the composite section. Compute this as illustrated in Example 9.7.9.6-1 Compute the following deflections for the beam in Problem 9.2-1.a. Maximum deflection before the concrete has cured.b. Maximum total deflection after composite behavior has been attained.

To determine

(a)

Maximum deflection before the concrete has cured.

### Explanation of Solution

Given:

A 14X22 composite beam, thickness, t = 4 inches, effective width, b = 90 inches, spacing = 7.5 ft, span length, L = 30 feet.

Construction load = 20 psf, partition load = 10 psf, weight of ceiling and light fixtures = 5 psf, live load = 60 psf.

The value of fc'=4ksi.

Calculation:

The loading condition on the beam before the concrete has cured is as follows:

The self- weight of slab

WS=γC×t12

Where, the thickness of the slab is t=4.0in and the unit weight of concrete is γC=150pcf

WS=150pcf×4.0in12

WS=50.00pcf

WD=(WS×Lp)+W

Where, W is the self- weight of the beam and Lp is the distance between the two adjacent beams.

W=22lbft, as per the manual of AISC.

Substitute the values in the above equation, we get:

WD=(50.00psf×7.5ft)+22lbftWD=(375)+22lbftWD=397lbft.

The live load on the beam before the concrete has cured as follows:

WL=(WSL×LP)

Where, the construction load on the slab is WSL and the span is LP.

WL=(20×7.5)lbftWL=(150)lbft

From the AISC manual for the moment of inertia :

We have, IX=199in4

 DesignationImperial (in x lb/ft) Depthh (in) Widthw (in) Web Thicknesstw (in) Flange Thicknesstf (in) Sectional Area (in2) Weight (lbf/ft) Static Parameters Moment of Inertia Elastic Section Modulus Ix (in4) Iy (in4) Sx (in3) Sy (in3) W 14 x 22 13
To determine

(b)

Maximum total deflection after composite behavior has been attained.

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