GATE CE 2021: RCC #5

What is the maximum possible eccentricity in a prestressed concrete beam of circular cross-section? Diameter of the section is d. Tension is not allowed anywhere and any time in the cross-section. Neglect dead load (self-weight).

As per IS code, the minimum grade of concrete for the design of prestressed concrete structure is:

What will be the maximum possible uniformly distributed load (inclusive of self-weight) over the entire span of a simply supported beam of span ‘L’ such that the deflection at midspan at service condition is zero? The cross-section is rectangular. The prestressing force ‘P’ is applied with uniform eccentricity ‘e’. Assume no losses.

A prestressed concrete beam of size 300 mm × 900 mm is prestressed with an initial pre stressing force of 810 kN at an eccentricity of 360 mm at mid span. Stress at the top fibre due prestress alone

A simply supported prestressed beam of 300 × 500 mm in c/s is subjected to a superimposed load of 20 kN/m over a span of 10m. If a prestressing force of 1000 kN is applied through a straight tendon located along centroidal axis then what is the extreme top fiber stress at the mid section:

A simply supported prestressed concrete beam of span 10 m and subjected to U.D.L. of 30 kN/m (inclusive of self weight). A prestressing force of 1500 kN is applied through a parabolic cable having zero eccentricity at both ends and maximum value (h) at centre of span that what will be the dip (h) if load balancing concept is applied?