6. A simply supported beam is subjected to uniformly distributed loads: a service dead load WD = 5 kips/ft and a service live load w₁ =7 kips/ft. Use the load combination w₁ = 1.2WD + 1.6WL. Note that the shear force is expressed as V₂ = w₁ (-/-- x) where x is the distance from a support. (65pts total) The beam also has the following properties. f = 4ksi, fy = fyt = 60 ksi, b = 18 in, h = 26 in, d = 24.5 in, 20ft No. 4 bars, U-stirrups used, Normalweight concrete (1) Calculate the required spacing of stirrups. (15pts) (2) Calculate the maximum spacing. Also, determine the location along the beam where the maximum spacing can be applied (i.e., the distance from support). (10pts) (3) Show the stirrup designs along with the shear force diagram. Indicate the numbers and spacings of stirrups. A transition between the required spacing and the maximum spacing is unnecessary. (15pts) (4) Assume the live load decreases, and, as a result, the factored shear force is 30 kips. Discuss whether stirrups are still required. If you think stirrups are still necessary, also discuss what design measures could alleviate the need for stirrups. A full shear analysis/design is not required. but a simple calculation is recommended. (10pts)

Steel Design (Activate Learning with these NEW titles from Engineering!)
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Author:Segui, William T.
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Chapter10: Plate Girders
Section: Chapter Questions
Problem 10.7.9P
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6. A simply supported beam is subjected to uniformly distributed loads: a service dead load
WD =
5 kips/ft and a service live load w₁ =7 kips/ft. Use the load combination w₁ = 1.2WD +
1.6WL. Note that the shear force is expressed as V₂ = w₁ (-/-- x) where x is the distance from a
support. (65pts total)
The beam also has the following properties.
f = 4ksi,
fy = fyt = 60 ksi,
b = 18 in,
h = 26 in,
d = 24.5 in,
20ft
No. 4 bars, U-stirrups used, Normalweight concrete
(1) Calculate the required spacing of stirrups. (15pts)
(2) Calculate the maximum spacing. Also, determine the location along the beam where the
maximum spacing can be applied (i.e., the distance from support). (10pts)
(3) Show the stirrup designs along with the shear force diagram. Indicate the numbers and
spacings of stirrups. A transition between the required spacing and the maximum spacing is
unnecessary. (15pts)
(4) Assume the live load decreases, and, as a result, the factored shear force is 30 kips. Discuss
whether stirrups are still required. If you think stirrups are still necessary, also discuss what
design measures could alleviate the need for stirrups. A full shear analysis/design is not required.
but a simple calculation is recommended. (10pts)
Transcribed Image Text:6. A simply supported beam is subjected to uniformly distributed loads: a service dead load WD = 5 kips/ft and a service live load w₁ =7 kips/ft. Use the load combination w₁ = 1.2WD + 1.6WL. Note that the shear force is expressed as V₂ = w₁ (-/-- x) where x is the distance from a support. (65pts total) The beam also has the following properties. f = 4ksi, fy = fyt = 60 ksi, b = 18 in, h = 26 in, d = 24.5 in, 20ft No. 4 bars, U-stirrups used, Normalweight concrete (1) Calculate the required spacing of stirrups. (15pts) (2) Calculate the maximum spacing. Also, determine the location along the beam where the maximum spacing can be applied (i.e., the distance from support). (10pts) (3) Show the stirrup designs along with the shear force diagram. Indicate the numbers and spacings of stirrups. A transition between the required spacing and the maximum spacing is unnecessary. (15pts) (4) Assume the live load decreases, and, as a result, the factored shear force is 30 kips. Discuss whether stirrups are still required. If you think stirrups are still necessary, also discuss what design measures could alleviate the need for stirrups. A full shear analysis/design is not required. but a simple calculation is recommended. (10pts)
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