A prestressed concrete beam (pretensioned) has the following cross-section as shown in figure below. Initial prestress = 1200 N/mm2 (in both wires).Youngandrsquo;s modulus of steel, ES = 210 andtimes; 103 N/mm2, Youngandrsquo;s modulus of concrete, EC = 36 andtimes; 103 N/mm2What will be the loss of pre-stress (in N/mm2) in top steel wires due to elastic shortening?[Assume moment of Inertia about centroid axis = 8575 andtimes; 106 mm4]a)14.06b)18.63c)25.37d)48.78Correct answer is option 'A'. Can you explain this answer?

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A prestressed concrete beam (pretensioned) has the following cross-section as shown in figure below. Initial prestress = 1200 N/mm² (in both wires).

Young’s modulus of steel, ES = 210 × 10³ N/mm2, Young’s modulus of concrete, EC = 36 × 10³ N/mm²

What will be the loss of pre-stress (in N/mm²) in top steel wires due to elastic shortening?

[Assume moment of Inertia about centroid axis = 8575 × 106 mm⁴]

a)
14.06
b)
18.63
c)
25.37
d)
48.78

Correct answer is option 'A'. Can you explain this answer?

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A prestressed concrete beam (pretensioned) has the following cross-sec...

Resultant prestressing force

where, P_R = P_t + P_B ...(i)

Force in upper tensioned steel,

P_t = 16 × π/4 × 5² × 1200

= 376991 N = 376.991 kN

Force in bottom tensioned steel,

P_s = 30 × π/4 × 6² ×1200

= 1017876 N = 1017.876 kN

P_R = 376991 + 1017876

= 1394867 N

Depth of centroidal axis from top,

Eccentricity of resultant force from the centre of beam section,

e_R = 436.76 — 350 = 86.76 mm

Stress in concrete at the level of top steel,

loss of stress in top steel m.fc.top

= × 2.41 = 14.06N/mm²

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A prestressed concrete beam (pretensioned) has the following cross-section as shown in figure below. Initial prestress = 1200 N/mm2 (in both wires).Young’s modulus of steel, ES = 210 × 103 N/mm2, Young’s modulus of concrete, EC = 36 × 103 N/mm2What will be the loss of pre-stress (in N/mm2) in top steel wires due to elastic shortening?[Assume moment of Inertia about centroid axis = 8575 × 106 mm4]a)14.06b)18.63c)25.37d)48.78Correct answer is option 'A'. Can you explain this answer?

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A prestressed concrete beam (pretensioned) has the following cross-section as shown in figure below. Initial prestress = 1200 N/mm2 (in both wires).Young’s modulus of steel, ES = 210 × 103 N/mm2, Young’s modulus of concrete, EC = 36 × 103 N/mm2What will be the loss of pre-stress (in N/mm2) in top steel wires due to elastic shortening?[Assume moment of Inertia about centroid axis = 8575 × 106 mm4]a)14.06b)18.63c)25.37d)48.78Correct answer is option 'A'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A prestressed concrete beam (pretensioned) has the following cross-section as shown in figure below. Initial prestress = 1200 N/mm2 (in both wires).Young’s modulus of steel, ES = 210 × 103 N/mm2, Young’s modulus of concrete, EC = 36 × 103 N/mm2What will be the loss of pre-stress (in N/mm2) in top steel wires due to elastic shortening?[Assume moment of Inertia about centroid axis = 8575 × 106 mm4]a)14.06b)18.63c)25.37d)48.78Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A prestressed concrete beam (pretensioned) has the following cross-section as shown in figure below. Initial prestress = 1200 N/mm2 (in both wires).Young’s modulus of steel, ES = 210 × 103 N/mm2, Young’s modulus of concrete, EC = 36 × 103 N/mm2What will be the loss of pre-stress (in N/mm2) in top steel wires due to elastic shortening?[Assume moment of Inertia about centroid axis = 8575 × 106 mm4]a)14.06b)18.63c)25.37d)48.78Correct answer is option 'A'. Can you explain this answer?.

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