GATE 2020 CE (CE1) – Question 54
A simply supported prismatic rectangular concrete beam of span 8 m has effective prestressing force 600 kN. Tendon eccentricity is zero at supports and varies linearly to e at midspan. Find e (mm) balancing an external concentrated 12 kN midspan load, nearest integer.
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Correct answer: 39 to 41
Explanation
Each half-tendon has small slope $2e/L$. The two vertical components sum to $4Pe/L$. Setting this to 12 kN gives $e=12(8)/(4\cdot600)=0.04$ m, or **40 mm**.