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Code References

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Here, only the red part of the moment curve will be applied to the cracked section.

Creep and Shrinkage Multipliers

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Condition

Factor

Equation #

Erection: SW Deflection

1.85

1

Erection: P/S Camber

1.80

2

Final: SW Deflection (non-comp)

2.70

3

Final: SD Deflection (non-comp)

2.45

4

Final: SW Deflection (non-comp)

3.00

5

Final: SW Deflection (comp)

2.40

6

Final: P/S Camber (comp)

2.20

7

Final: SD Deflection (comp)

3.00

8

Final: Topping Deflection (comp)

2.30

9

In graphical terms, these relationships can be shown as below:

For plant topped (non-composite) members:

For field topped (composite) members:

In ACI 318-71 9.5.2.3, the base factor used to modify initial deflections to account for long-term effects was calculated using the following equation:

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Mild deflection multipliers are calculated using Eq. 24.2.4.1.1 (shown below).  For this method, each load combination computes its’ own reinforcement ratio.  In addition, the time-dependent factor is set to 2 for final loading and all other stages.

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where λ is the deflection multiplier

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This deflection multiplier is applied to all sustained loads on the members.

Hand Calculation

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