A rectangular reinforced concrete beam 350 x 550 mm (b x d) is provided with 3H25 bar (As = 1473 mm2) as compression steel. Determine the area of tension steel needed for the beam to attain its full moment capacity. Calculate the corresponding ultimate moment of resistance. Assume fck = 35 N/mm2and fyk = 500 N/mm2and d’ = 60mm. Take until 2 decimal point for each calculation. Notes : Internal forces Fcc = 0.567fck(b x 0.8x) = 0.454 fck bx Fst = 0.87 fyk As Moment of resistance with respect to steel, M = Fcc.z Moment of resistance with respect to concrete, M = Fst.z Mbal = Kbal fck bd2 where Kbal = 0.167 As ‘ = (M-Mbal) / 0.87 fyk (d-d’) As = Mbal / 0.87 fyk zbal + As’

Rectangular reinforced concrete beamWidth (b) = 350 mmEffective depth (d) = 550 mmArea of…

Answered: A rectangular reinforced concrete beam…

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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A rectangular reinforced concrete beam 350 x 550 mm (b x d) is provided with 3H25 bar (A_s = 1473 mm²) as compression steel. Determine the area of tension steel needed for the beam to attain its full moment capacity. Calculate the corresponding ultimate moment of resistance. Assume f_ck = 35 N/mm²and f_yk = 500 N/mm²and d’ = 60mm. Take until 2 decimal point for each calculation.

Notes :

Internal forces

F_cc = 0.567f_ck(b x 0.8x) = 0.454 f_ck bx

F_st = 0.87 f_yk A_s

Moment of resistance with respect to steel,

M = F_cc.z

Moment of resistance with respect to concrete,

M = F_st.z

M_bal = K_bal f_ck bd² where K_bal = 0.167

A_s‘ = (M-M_bal) / 0.87 f_yk (d-d’)

A_s = M_bal / 0.87 f_yk z_bal + A_s’

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