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6th Edition

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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.

**Given:**

A

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

The value of

**Calculation:**

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

The self- weight of slab

Where, the thickness of the slab is

Calculate the dead load of the beam as follows:

Where, W is the self- weight of the beam and

Substitute the values in the above equation, we get:

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

Where, the construction load on the slab is

From the AISC manual for the moment of inertia :

We have,

DesignationImperial (in x lb/ft) |
Depthh (in) |
Widthw (in) |
Web Thicknesst_{w} (in) |
Flange Thicknesst_{f} (in) |
Sectional Area (in^{2}) |
Weight (lb_{f}/ft) |
Static Parameters |
|||

Moment of Inertia |
Elastic Section Modulus |
|||||||||

I_{x} (in^{4}) |
I_{y} (in^{4}) |
S_{x} (in^{3}) |
S_{y} (in^{3}) |
|||||||

W 14 x 22 | 13 |

To determine

**(b)**

Maximum total deflection after composite behavior has been attained.

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