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A tensile-reinforced t beam is to be designed to carry a uniformly distributed load on a 20-ftsimple span. The total moment to be carried is mu-5780 in-kips. Concrete dimensions, governed by web shear and clearance requirements, are b 20 in, b 10 in, he-5in, and d 20 in. Iffy 60 ksi and fe-4ksi, what tensile reinforcement is required at midspan? select appropriate reinforcement to provide this area of steel and check concrete cover limitations, assuming no. 3 stirrups. What total depth h is required? sketch your design.

Sagot :

lhmarianateixeira

The tensile reinforcement is required at midspan is 3.103 in^2 and the total depth h is required is 17 in.

organizing the information given in the statement:

  • t beam is to be designed to carry a uniformly distributed load on a 20-ftsimple span
  • The total moment to be carried is mu-5780
  • shear and clearance requirements, are b 20 in, b 10 in, he-5in, and d 20 in. Iffy 60 ksi and fe-4ksi

With that infromation we can say, total moment to be caried out in the bean is:

M=5780 in kips

Characteristics strength of concreete is 4ksi

Characteristics strength of steel is 60ksi

Find the depht of stress block:

[tex]a=\frac{A_s*f_y}{0.85*fc}[/tex]

Substitute 4ksi in fc, 60 ksi in fy we have:

[tex]a= 17.65 A_s[/tex]

Find the area of tensile reinforcement:

[tex]\phi M= \phi A_sf_y(d-a/2)\\5780=A_s*60(20-17.65A_s/2)\\A_s=3.103 in^2[/tex]

Provide 3 stirrups of 9 inches bar (wich has a diameter of 1.128 inches)

Provide 3 inch as cover fot T-beam, therefore the effective depth is:

h=20-3=17 in

See more about tensile-reinforced at brainly.com/question/18273420

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