The cross section of a beam constructed using Grade 50 concrete (Ec = 34800 MPa) is 300 mm x 500 mm (b x D) as shown in figure 1. Assuming d = 450 mm, Esteel = 200 GPa and the beam behaves elastically, determine the following: 1. Use the transformed method to determine position of neutral axis and cracking moment Mcr- 2. Determine the maximum concrete and steel stresses produced by a positive bending moment of 45 kNm in the uncracked section. 500 mm 300 mm 450 mm 4N20 Fig. 1 Cross section of beam in Question 1

The cross section of a beam constructed using Grade 50 concrete (Ec = 34800 MPa) is 300 mm x 500 mm (b x D) as shown in figure 1. Assuming d = 450 mm, Esteel = 200 GPa and the beam behaves elastically, determine the following: 1. Use the transformed method to determine position of neutral axis and cracking moment Mcr- 2. Determine the maximum concrete and steel stresses produced by a positive bending moment of 45 kNm in the uncracked section. 500 mm 300 mm 450 mm 4N20 Fig. 1 Cross section of beam in Question 1

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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Concept explainers

Crack Detection

Concrete materials are meant for supporting structures, building foundations and they act as several load-bearing structures. Over time, due to environmental conditions, and based on the constituent materials used, concrete materials are subjected to a great degree of distress. Corrosion of the reinforcement bars due to chemical influences, uneven base, earthquake, drying shrinkages, and alkali-aggregate reactions are some of the reasons for concrete distress.

Question

The cross section of a beam constructed using Grade 50 concrete (Ec = 34800 MPa) is 300 mm x 500 mm (b x D) as shown in figure 1.
Assuming d = 450 mm, Esteel = 200 GPa and the beam behaves elastically, determine the following:
1. Use the transformed method to determine position of neutral axis and cracking moment Mcr-
2. Determine the maximum concrete and steel stresses produced by a positive bending moment of 45 kNm in the uncracked
section.
500 mm
300 mm
450 mm
4N20
Fig. 1 Cross section of beam in Question 1

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