A rectangular concrete beam of cross-section 30 cm deep and 20 cm wide is pre-stressed by means of 15 wires of 5 mm diameter located 6.5 cm from the bottom of the beam and 3 wires of diameter of 5mm, 2.5 cm from the top. Assuming the pre-stress in the steel as 840 N/mm. Calculate the stresses at the extreme fibers of the mid span section when the beam is supporting its own weight over a span of 6 m. If a uniformly distributed Ilive load of 6 kN/m is imposed. Evaluate the maximum working stress in concrete. The density of concrete is (P+20) kN/m³. 200 mm 25 mm Live load -6 kN/m 300 mm 6 m 65 mm

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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Q # 1. A rectangular concrete beam of cross-section 30 cm deep and 20 cm wide is pre-stressed by means of 15
wires of 5 mm diameter located 6.5 cm from the bottom of the beam and 3 wires of diameter of 5mm, 2.5 cm
from the top. Assuming the pre-stress in the steel as 840 N/mmf. Calculate the stresses at the extreme fibers
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 6 kN/m is imposed. Evaluate the maximum working stress in concrete. The density of
concrete is (P+20) kN/m³.
200 mm
25 mm
Live load- 6 kN/m
300 mm
6 m
65 mm
Q # 2. An un-symmetrical section beam is used to support an imposed load of 2 kN/m over a span of 8 m. The
ottom flange, 100 mm wide and 60 mm
sectional details are top flange. 300 mm wide and 60 mm thick
thick; thickness of the web = 80 mm; overall depth of the beam= 400 mm. At the centre of the span, the
effective pre-stressing force of (P+100) kN is located at 50 mm from the soffit of the beam. Estimate the
stresses at the centre of span section of the beam for the following load conditions:
a) Pre-stress and self-weight
b) Pre-stress, self-weight and live load.
300 mm
60 mim
LIVE load 2 kNm
S00 mm
6-194 imim
60 mm
100 rmim
Transcribed Image Text:Q # 1. A rectangular concrete beam of cross-section 30 cm deep and 20 cm wide is pre-stressed by means of 15 wires of 5 mm diameter located 6.5 cm from the bottom of the beam and 3 wires of diameter of 5mm, 2.5 cm from the top. Assuming the pre-stress in the steel as 840 N/mmf. Calculate the stresses at the extreme fibers 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 6 kN/m is imposed. Evaluate the maximum working stress in concrete. The density of concrete is (P+20) kN/m³. 200 mm 25 mm Live load- 6 kN/m 300 mm 6 m 65 mm Q # 2. An un-symmetrical section beam is used to support an imposed load of 2 kN/m over a span of 8 m. The ottom flange, 100 mm wide and 60 mm sectional details are top flange. 300 mm wide and 60 mm thick thick; thickness of the web = 80 mm; overall depth of the beam= 400 mm. At the centre of the span, the effective pre-stressing force of (P+100) kN is located at 50 mm from the soffit of the beam. Estimate the stresses at the centre of span section of the beam for the following load conditions: a) Pre-stress and self-weight b) Pre-stress, self-weight and live load. 300 mm 60 mim LIVE load 2 kNm S00 mm 6-194 imim 60 mm 100 rmim
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