Problem: Given a trapezoidal beam with a bottom width of 800 mm, top width of 600 mm and a total depth of 800 mm. It has a simple span of 12 m and carries a LL=12 KN/m. If the prestressing force is 850 KN, determine the fiber stresses @ transfer and working if there is a prestress loss of 10%.

Problem: Given a trapezoidal beam with a bottom width of 800 mm, top width of 600 mm and a total depth of 800 mm. It has a simple span of 12 m and carries a LL=12 KN/m. If the prestressing force is 850 KN, determine the fiber stresses @ transfer and working if there is a prestress loss of 10%.

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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Problem: Given a trapezoidal beam with a bottom width of 800 mm, top width of 600 mm and a total
depth of 800 mm. It has a simple span of 12 m and carries a LL= 12 KN/m. If the prestressing force is 850
KN, determine the fiber stresses @ transfer and working if there is a prestress loss of 10%.

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Step 1: Given variable parameter

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Step 2: Determination of stress due to bending and axial compression

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Step 3: Calculation of moment of inertia and distance from neutral axis

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Step 4: Determination of moment of Inertia about NA

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Step 5: Calculation of load

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Step 6: Calculation of fiber stresses at transfer

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Step 7: Calculation of prestressing stress

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