(Solved): A post-tensioned prestressed T-beam has a span of 15.20 m as shown in the figure below. The member w ...

A post-tensioned prestressed T-beam has a span of 15.20 m as shown in the figure below. The member was prestressed using 12 low-relaxation tendons inserted in a single duct. All 12 tendons were tensioned simultaneously only at the left end. Compute the total prestress loss (due to elastic, anchorage seating, friction, creep, shrinkage, and relaxation) at the mid span of the member after 5 years. Use Pi = 0.9Pj. For the wobble effect calculation, use 7.6 m for the length of tendons affected by wobbling. For missing parameters (if any), please make reasonable assumptions. For this member, Pj (jacking force) = 1,360 kN wD (dead load per unit length) = 8,140 N/m Aps = 92.9 mm2 (for a single tendon) × 12 = 1114.8 mm2 Ac = 338,000 mm^2 Ic = 917 × 107 mm^4 f’c = 35 MPa Ec = 2.7 × 104 MPa Eps = 2.0 × 105 MPa