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If a rectangular prestressed beam of an effective span of 5 meters and carrying a total load 3840 kg/m, is designed by the load balancing method, the central dip of the parabolic tendon should be
a) 5 cm
b)10 cm
c)15 cm
d)20 cm
e)25 cm?
Most Upvoted Answer
If a rectangular prestressed beam of an effective span of 5 meters and...
- Central Dip Calculation using Load Balancing Method:
The central dip of the parabolic tendon in a prestressed beam can be calculated using the load balancing method. In this method, the total load carried by the beam is balanced by the tendon force.

Given data:
- Effective span = 5 meters
- Total load = 3840 kg/m

Step 1: Calculation of Total Load:
Total load = Load per unit length x Effective span
Total load = 3840 kg/m x 5 m
Total load = 19200 kg

Step 2: Calculation of Tendon Force:
Tendon force = Total load / 2
Tendon force = 19200 kg / 2
Tendon force = 9600 kg

Step 3: Calculation of Central Dip:
The equation for the central dip of the parabolic tendon is given by:
δ = (5L^2) / (8D)
Where:
δ = Central dip
L = Effective span
D = Tendon force
Substitute the values:
δ = (5 x 5^2) / (8 x 9600)
δ = (125) / (76800)
δ ≈ 0.00163 meters
δ ≈ 1.63 cm
Therefore, the central dip of the parabolic tendon should be approximately 1.63 cm. Since this is not an option provided, the closest option would be 2 cm.
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If a rectangular prestressed beam of an effective span of 5 meters and carrying a total load 3840 kg/m, is designed by the load balancing method, the central dip of the parabolic tendon should bea) 5 cm b)10 cm c)15 cm d)20 cm e)25 cm?
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If a rectangular prestressed beam of an effective span of 5 meters and carrying a total load 3840 kg/m, is designed by the load balancing method, the central dip of the parabolic tendon should bea) 5 cm b)10 cm c)15 cm d)20 cm e)25 cm? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about If a rectangular prestressed beam of an effective span of 5 meters and carrying a total load 3840 kg/m, is designed by the load balancing method, the central dip of the parabolic tendon should bea) 5 cm b)10 cm c)15 cm d)20 cm e)25 cm? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a rectangular prestressed beam of an effective span of 5 meters and carrying a total load 3840 kg/m, is designed by the load balancing method, the central dip of the parabolic tendon should bea) 5 cm b)10 cm c)15 cm d)20 cm e)25 cm?.
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