Serviceability

Serviceability

Serviceability limit states ensure that a structure performs satisfactorily under service loads, avoiding excessive deflection, cracking, or vibration.

Deflection

Deflection calculations involve determining the effective moment of inertia ($I_e$) which accounts for the cracked section properties.

$I_e = (\frac{M_{cr}}{M_a})^3 I_g + [1 - (\frac{M_{cr}}{M_a})^3] I_{cr} \leq I_g$

Where:

• $M_{cr}$: Cracking moment.
• $M_a$: Maximum service moment at the stage deflection is computed.
• $I_g$: Gross moment of inertia.
• $I_{cr}$: Cracked moment of inertia.

Cracking

Crack control is primarily achieved by proper detailing of reinforcement (spacing and cover).

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Solved Problems