A rectangular concrele beam of cross-sction 30 cm deep and 20 cm wide is prestressed by means of 15 wires of 5 mm dianmeter lecated 6 5 em from the bottom of the boam and 3 wires of diameter of 5 mm, 2.5 em from the top. Assuming the prestress in the steel as 840 N/mm", calculate the stresses at the extreme libers of the mid-span section when the beam is supporting its own weight over a span of 6 m. if'a uniformly distributed live load of 6kN/m ie imposed, evaluate the maximum working stress in concreie. The density of concrete is 24KN/m. Clheck the alluwable stresses of 200 mm ACI code LL=6kN/m I 25 mmi to' 12 MPa fki- 33 MPa A 300 Answer The resultant working stresses 65 mm (colf woigl

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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Work Sheet No. I
Example 1
A rectangular concrete beam of cross-scction 30 cm deep and 20 cm wide is prestressed
by means of 15 wires of 5 mm diameter leeated 6 5 em from the bottom of the beam and
3 wires of diameter of 5 mm, 2.5 cm from the top. Assuming the prestress in the steel as
840 N/mm', calculate the stresses at the extreme libers of the mid-span section when the
beam is supporting its own weight over a span of 6 m. If a uniformly distributed live load
of 6kN/m in imposed, evaluate the maximum working stress in conLiete. The density of
concrete is 24KN/m
Clheck the alluwable stresses of
ACI code
200 mm
I 25 mm
o 12 MPa
fei= 33 MPa
K-
A 300
Answer
Tas
65 mm
The resultant working stresses
đue to (self weight + prestress
+ LL) in the concrete =11.16 N/mm (compressive) and 1.16 N/mm (tensile)
Transcribed Image Text:Work Sheet No. I Example 1 A rectangular concrete beam of cross-scction 30 cm deep and 20 cm wide is prestressed by means of 15 wires of 5 mm diameter leeated 6 5 em from the bottom of the beam and 3 wires of diameter of 5 mm, 2.5 cm from the top. Assuming the prestress in the steel as 840 N/mm', calculate the stresses at the extreme libers of the mid-span section when the beam is supporting its own weight over a span of 6 m. If a uniformly distributed live load of 6kN/m in imposed, evaluate the maximum working stress in conLiete. The density of concrete is 24KN/m Clheck the alluwable stresses of ACI code 200 mm I 25 mm o 12 MPa fei= 33 MPa K- A 300 Answer Tas 65 mm The resultant working stresses đue to (self weight + prestress + LL) in the concrete =11.16 N/mm (compressive) and 1.16 N/mm (tensile)
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