A rectangular reinforced concrete beam having a single span of4.50m carries a service dead load of 20 kN/m and a service liveload of 35 kN/m all throughout its length. Steel covering is 75mm measured from the centroid of the tension steel. Concretestrength is f'c = 28 MPa and steel yield strength is fy = 415 MPa.a. What is the maximum moment due to the factored loads?b. Which of the following most nearly gives the least dimensionsof the beam using the maximum allowable reinforcement ratio?i. 200 x 450 mmii. 200 x 475 mmiii. 225 x 450 mmiv. 225 x 475 mmc. What is the steel area using the dimensions obtained above?

data we have effective span L =4.5 mdead load = 20 kn/mlive load =35 kn /msteel convergingd =75mmfc…

Answered: rom the centroid of the tension steel.…

rom the centroid of the tension steel. 28 MPa and steel yield strength is fy aximum moment due to the factored Following most nearly gives the least

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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Question

A rectangular reinforced concrete beam having a single span of
4.50m carries a service dead load of 20 kN/m and a service live
load of 35 kN/m all throughout its length. Steel covering is 75
mm measured from the centroid of the tension steel. Concrete
strength is f'c = 28 MPa and steel yield strength is fy = 415 MPa.
a. What is the maximum moment due to the factored loads?
b. Which of the following most nearly gives the least dimensions
of the beam using the maximum allowable reinforcement ratio?
i. 200 x 450 mm
ii. 200 x 475 mm
iii. 225 x 450 mm
iv. 225 x 475 mm
c. What is the steel area using the dimensions obtained above?

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