Non-Composite Section

A = area of cross-section of beam = 523107 mm₂

h = overall depth of beam = 1600 mm

I = moment of inertia about centroid of non-composite precast beam = 1.908 * 10¹¹ mm⁴

y_b = distance from centroid to extreme bottom fiber of non-composite precast beam = 722 mm

y_t = distance from centroid to extreme top fiber of non-composite beam = 878 mm

S_b = section modulus for extreme bottom fiber of non-composite precast beam = 2.6438108 mm₃

S_t = section modulus for extreme top fiber of non-composite precast beam = 2.173*108mm³

Weight = 12.325 kN/m

where:

E_c = modulus of elasticity of concrete (MPa)

y_c = concrete density (kg/m³) = 2402 kg/m³

f`_c= specified strength of concrete (MPa)

Therefore, modulus of elasticity for:

cast-in-place slab

E_cs = 0.043 (2402)1.5 (28)00.5 = 26802.7 MPa

precast beam at release

E_ci = 0.043 (2402)1.5 (35)0.5 = 29966.3 MPa

precast beam at service loads

E_c = 0.043 (2402)1.5 (45)0.5 = 33978.6 MPa