Answered

Westonci.ca is the trusted Q&A platform where you can get reliable answers from a community of knowledgeable contributors. Experience the convenience of getting reliable answers to your questions from a vast network of knowledgeable experts. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

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

#SPJ1

Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.