1. A rectangular beam has uniformly distributed dead and live loads along its full length as shown below. The dead load includes the self-weight of the beam. Use fe' = 4500 psi and fyr = 40,000 psi for all the parts below. The effective depth of the tension reinforcement is 21.5 inch. 8 ft D = 2.0 kips/ft L = 1.5 kips/ft 8 ft C FL 6 ft I T 21.5" Section at B (a) Draw the shear diagram of the beam under the combined load = 1.2D+1.6L; (b) In the elevation view of the beam, show the direction of the shear crack at the mid-height of the cross section on the right side of the support C; (c) Use ACI318-19 provisions to identify the regions of the beam where NO shear reinforcement is required. Show the region on your shear diagram in (a); (d) Use ACI318-19 provisions to identify the regions of the beam where only minimum shear reinforcement is required. Show the region on your shear diagram in (a); (e) Design the shear reinforcement for the section at the location with a distance = 2.5 ft. to the left end of the beam. Use No. 3 double-leg stirrups and check your design with ACI's requirements on minimum shear reinforcement and maximum spacings of stirrups.
1. A rectangular beam has uniformly distributed dead and live loads along its full length as shown below. The dead load includes the self-weight of the beam. Use fe' = 4500 psi and fyr = 40,000 psi for all the parts below. The effective depth of the tension reinforcement is 21.5 inch. 8 ft D = 2.0 kips/ft L = 1.5 kips/ft 8 ft C FL 6 ft I T 21.5" Section at B (a) Draw the shear diagram of the beam under the combined load = 1.2D+1.6L; (b) In the elevation view of the beam, show the direction of the shear crack at the mid-height of the cross section on the right side of the support C; (c) Use ACI318-19 provisions to identify the regions of the beam where NO shear reinforcement is required. Show the region on your shear diagram in (a); (d) Use ACI318-19 provisions to identify the regions of the beam where only minimum shear reinforcement is required. Show the region on your shear diagram in (a); (e) Design the shear reinforcement for the section at the location with a distance = 2.5 ft. to the left end of the beam. Use No. 3 double-leg stirrups and check your design with ACI's requirements on minimum shear reinforcement and maximum spacings of stirrups.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:1.
A rectangular beam has uniformly distributed dead and live loads along its full
length as shown below. The dead load includes the self-weight of the beam. Use fe' =
4500 psi and fyr = 40,000 psi for all the parts below. The effective depth of the tension
reinforcement is 21.5 inch.
8 ft
D = 2.0 kips/ft
L = 1.5 kips/ft
8 ft
C
FL
6 ft
I
T
21.5"
Section at B
(a) Draw the shear diagram of the beam under the combined load = 1.2D+1.6L;
(b) In the elevation view of the beam, show the direction of the shear crack at the mid-height of
the cross section on the right side of the support C;
(c) Use ACI318-19 provisions to identify the regions of the beam where NO shear reinforcement
is required. Show the region on your shear diagram in (a);
(d) Use ACI318-19 provisions to identify the regions of the beam where only minimum shear
reinforcement is required. Show the region on your shear diagram in (a);
(e) Design the shear reinforcement for the section at the location with a distance = 2.5 ft. to the
left end of the beam. Use No. 3 double-leg stirrups and check your design with ACI's
requirements on minimum shear reinforcement and maximum spacings of stirrups.
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