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ENGV 425
QUIZ: BOND
1. Consider the cantilever beam extending from the column indicated and supporting the
concentrated load shown. Calculate the required development length ℓ of the top
reinforcements. Use equation 6.5 in the textbook (186p). Also discuss if the calculated
development can be accommodated inside the 20’’x20’’ column.
3
)
ℓ = (
40 √ ′ ( + )
Given conditions:
Normalweight concrete, = 60 , ′ = 5
Uncoated bars used (no hook, no heads)
Beam
Three No. 8
bars
20’’x20’’
column
No. 3 Stirrups
with spacing
of 8 in.
ENGV 425
QUIZ: SHEAR ANALYSIS OF BEAMS
1. For the beam shown below, answer the following questions.
= 100.8
′ = 4ksi,
= 60 ksi,
= 12 in,
ℎ = 40 in,
= 36 in,
Normalweight concrete
< 0.0156
The shear force is calculated as
= 108 − 0.6
if 0 ≤ < 8 [in kips]
= 7.2 − 0.6
if 8 ≤ < 10 [in kips]
where is the distance from the left support in ft.
Determine the stirrup design. Sketch your web reinforcement design for the half length of beam
along with the shear diagram. Use No. 3 bars for web reinforcement. The shear force diagram
should be shown along with the stirrup design.
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