owing if the compressive strengt the concrete is 1600 kg/m³: oment Moment of Inertia. ss of Concrete. Compression Steel Stress.

Steel Design (Activate Learning with these NEW titles from Engineering!)
6th Edition
ISBN:9781337094740
Author:Segui, William T.
Publisher:Segui, William T.
Chapter9: Composite Construction
Section: Chapter Questions
Problem 9.1.3P
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The cross section shown is for the fixed support of a propped beam that carries an
allowable ultimate moment of 60 kN-m. The concrete is lightweight consisting of a
lightweight coarse aggregate and a mixture of a lightweight and normal weight fine
aggregate. The total volume of fine aggregate is 15 m3 and 7m3 of it are lightweight.
Determine the following if the compressive strength of the concrete is 25 MPa, fy=420 MPa
and the weight of the concrete is 1600 kg/m3:
(a) Cracking Moment
(b) Transformed Moment of Inertia.
(c) Tension Stress of Concrete.
(d) Transformed Compression Steel Stress.
(e) Actual Tension Steel Stress.
(f) Compression Force in the Concrete due to bending.
(g) Total Tension Force of the reinforced concrete due to bending.
90 mm 20 mm
190 mm
70 mm
40 mm
3- Ø25
390 mm
40 mm
4- 020
70 mm
130 mm90 mm'
Transcribed Image Text:The cross section shown is for the fixed support of a propped beam that carries an allowable ultimate moment of 60 kN-m. The concrete is lightweight consisting of a lightweight coarse aggregate and a mixture of a lightweight and normal weight fine aggregate. The total volume of fine aggregate is 15 m3 and 7m3 of it are lightweight. Determine the following if the compressive strength of the concrete is 25 MPa, fy=420 MPa and the weight of the concrete is 1600 kg/m3: (a) Cracking Moment (b) Transformed Moment of Inertia. (c) Tension Stress of Concrete. (d) Transformed Compression Steel Stress. (e) Actual Tension Steel Stress. (f) Compression Force in the Concrete due to bending. (g) Total Tension Force of the reinforced concrete due to bending. 90 mm 20 mm 190 mm 70 mm 40 mm 3- Ø25 390 mm 40 mm 4- 020 70 mm 130 mm90 mm'
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