Bxp Width of Beam (b) Area orsieel (A) 6inches Height of Beam (h)-inchcs d 22 sa

Question

Bxp Width of Beam (b) Area orsieel (A) 6inches Height of Beam (h)-inchcs d 22 saare inches _ Yield Strength of Steel (F) 60,000 psi Caleu lated value of(a) Distance between beam supports Theoretical ultimate moment M) 27.L inches Ultimate load applied to beam 0.092 bs Actual ultimate moment on beam Ultimate Outer Fiber Compressive Stress Modulus of elasticity Deflection 500 1000 1500 0021 0029 0035 .0039 0044 2000 2500 3000 3500 4000 6500 7000 7500 8000 8500 9000 9500 10000 10090 0099 0106 0114 0122 0132 0148 0163 Not Measured 0049 4500 5000 5500 0059 0065 0072 .0085

Explanation / Answer

Sol- a) To calculated d, assume clear cover of 30mm and substracting bar diameter take nominal cover as 50 mm.

d = 127 - 50 = 77 mm.

b) Mur = fy * Ast * ( d - .42Xu,max)

Xu,max = .48*d = .48*77 = 36.96 mm

Mur = 415*14195*(77 - .42*36.96)

= 362.155 KN-m

c) Actual Mur for simply supported beam is PL^2/4.

Mur = 44.883*.688^2 / 4 = 5.31127 KN-m

d) We know M/I = f/y

Using actual Mur to determine outer fibre stress and Moment of inertia I = bd^3 / 12 = 1024191.5 mm^4. Y is equal to Xu,max.

f = 5.311 * 10^6 * 36.96 / 1024191.5 = 191.658 N/mm^2

All calculations are done in SI units.

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