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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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
Transcribed Image Text: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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