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Design of a prestressed beam in the service limit state Loads: Service load p = 40 kN/m Self...

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Civil Engineering



Design of a prestressed beam in the service limit state

Loads:

Service load p = 40 kN/m

Self weight from adjacent structures g1 = 30 kN/m

Self weight of beam g2 = 7 kN/m

Dimensions:
b = 300 mm, h = 900 mm, d = 800 mm,

L = 8000 mm Ap = 12 tendons a 100 mm2

Material data:
Tendons:

fp0,1k = 1550 N/mm2

fpk = 1700 N/mm2

fpk = 1700 N/mm2

p,max = min{0,8fpk ; 0,9fp0,1k}= 1360 N/mm2

Concrete:

B45, Exposure class XC1, XC2 etc, T = 20 C, RH = 50%

It is assumed that the prestressing and theself-weight of the beam are applied three days after casting, whilethe self-weight of adjacent structures and service load are appliedafter 28 days. 50% of the service load is assumed to be long termload and the relaxation class may be set to 2 (i.e. lowrelaxation).

Tasks:


a) Check that the concrete stresses at prestressing inthe lower edge of the beam are within the limits given by EC2.Assume rapid cement (s=0.2)


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