Q) Find the moment of resistance of a t beam having web width of 240 mm , effective depth of 400 mm flange width of 740 mm and flange thickness 100 mm . The beam is reinforced with 5 nos 16 mm diameter , Fe415 bars use M20 concrete

 

Q) Find the moment of resistance of a t beam having web width of 240 mm , effective depth of 400 mm flange width of 740 mm and flange thickness 100 mm . The beam is reinforced with 5 nos 16 mm diameter , Fe415 bars use M20 concrete.

Given data

Web width = 240 mm

Flange width = 740 mm

Effective depth = 400 mm

No of bars = 5

Diameter of each bar = 16 mm

Concrete grade = M20 fck = 20 Mpa

Steel grade = Fe415 fy = 415 Mpa

Area Of Steel

Ast = 5* π/4 *16²

⁼ 1005.30 mm²

^{Find limiting depth of Neutral Axis}

^{= xumax = 0.48d = 0.48*400 = 192 mm}

^{Assume Neutral Axis}

^{xu = 0.87 fyast/.36 fckbf}

^{= 0.87 *415*1005.3/ .36*20*740}

= 68.12 mm

Moment of resistance

= Mu = .87 fy ast (d-0.42 xu)

= .87 * 415 * 1005.3 * (400 -0.42 *68.08)

362963.565 (400-28.6)*10^-6

= 362963.565 (371.4)*10^-6

=134.80kn/m