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A prestressed concrete beam of rectangular section, 300 mm wide 600 mm deep, is prestressed with by 14 wires of 4 mm diameter wires located at a constant eccentricity of e. Initial stress in prestressing wires is -- N/mm2. The span of the beam is L m. • Modulus of elasticity of steel = 210 kN/mm2 Modulus of elasticity of concrete = 35 kN/mm? • Relaxation of steel stress = 2.5 % of the effective stress Shrinkage strain of concrete 300 x 106 for pre-tensioning and 200 x 106 for post tensioning Slip at anchorage = mm Ultimate creep strain = 38 x 106 and 22 x 106 mm/mm per N/mm? for pre-tensioned and post tensioned members respectively. • Frictional coefficient for wave effect = 0.00175 per m Calculate the total loss of stress in wires if the beam is pre-tensioned and post-tensioned. Also, compare the percentage loss of stress in wires for pre and post tensioned.

A prestressed concrete beam of rectangular section, 300 mm wide 600 mm deep, is prestressed with by 14 wires of 4 mm diameter wires located at a constant eccentricity of e. Initial stress in prestressing wires is -- N/mm2. The span of the beam is L m. • Modulus of elasticity of steel = 210 kN/mm2 Modulus of elasticity of concrete = 35 kN/mm? • Relaxation of steel stress = 2.5 % of the effective stress Shrinkage strain of concrete 300 x 106 for pre-tensioning and 200 x 106 for post tensioning Slip at anchorage = mm Ultimate creep strain = 38 x 106 and 22 x 106 mm/mm per N/mm? for pre-tensioned and post tensioned members respectively. • Frictional coefficient for wave effect = 0.00175 per m Calculate the total loss of stress in wires if the beam is pre-tensioned and post-tensioned. Also, compare the percentage loss of stress in wires for pre and post tensioned.

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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T3- Please I want solution of this question. Thanks

Note:

e = 137 mm

Initial stress = 1501 N/mm2

L = 10 m

Slip at anchorage = 1 mm

A prestressed concrete beam of rectangular section, 300 mm wide 600 mm deep, is prestressed with by 14 wires of 4 mm diameter wires located at a constant eccentricity of e. Initial stress in prestressing wires is ----- N/mm?. The span of the beam is L- m. • Modulus of elasticity of steel = 210 kN/mm? • Modulus of elasticity of concrete = 35 kN/mm? Relaxation of steel stress = 2.5 % of the effective stress Shrinkage strain of concrete = 300 x 106 for pre-tensioning and 200 x 106 for post tensioning Slip at anchorage = mm Ultimate creep strain = 38 x 106 and 22 x 106 mm/mm per N/mm? for pre-tensioned and !! post tensioned members respectively. Frictional coefficient for wave effect = 0.00175 per m Calculate the total loss of stress in wires if the beam is pre-tensioned and post-tensioned. Also, compare the percentage loss of stress in wires for pre and post tensioned.
Transcribed Image Text:A prestressed concrete beam of rectangular section, 300 mm wide 600 mm deep, is prestressed with by 14 wires of 4 mm diameter wires located at a constant eccentricity of e. Initial stress in prestressing wires is ----- N/mm?. The span of the beam is L- m. • Modulus of elasticity of steel = 210 kN/mm? • Modulus of elasticity of concrete = 35 kN/mm? Relaxation of steel stress = 2.5 % of the effective stress Shrinkage strain of concrete = 300 x 106 for pre-tensioning and 200 x 106 for post tensioning Slip at anchorage = mm Ultimate creep strain = 38 x 106 and 22 x 106 mm/mm per N/mm? for pre-tensioned and !! post tensioned members respectively. Frictional coefficient for wave effect = 0.00175 per m Calculate the total loss of stress in wires if the beam is pre-tensioned and post-tensioned. Also, compare the percentage loss of stress in wires for pre and post tensioned.
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