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CE 334 – Week #4 Design of Rectangular Beams Homework Quiz Name:________________ 1. True or false: Use whole inches for the effective depth d of a beam. 2. What would be a reasonable estimate for d for the cross section shown? d h=36 3 #7 bars (upper layer) and 3 #9 bars (lower layer) b=18 3. What would be the minimum center to center spacing of the #7 bars for the cross section shown? Assume the maximum aggregate size is 3/4”. 4. What would be the minimum clear spacing between the layer of #7 bars and the layer of #9 bars for the cross section shown? 5. A 4” thick floor slab is reinforced with #6 bars. What would be a reasonable estimate for its effective depth d? 6. What are stirrups used for? CE 334 – Week #4 Design of Rectangular Beams Homework Quiz Name:________________ 7. The beam shown has an overall height = 18”. Calculate effective depth d. 8. What is the minimum width b that can be used for the beam in problem #7? The beam is not exposed to weather or in contact with the ground. 9. How would the minimum width b for the beam in problem #7 change if the beam were exposed to weather? 10. How do concrete cover and bar spacing affect the bar’s development length? 11. When is “skin reinforcement” required? CE 334 – Week #4 Design of Rectangular Beams Homework Quiz Name:________________ 12. Most concrete beams won’t buckle laterally (sideways) unless what is present? 13. What kind of deflection calculations are required for concrete beams? 14. True or false: ACI permits the minimum depth table to replace deflection calculations for all beams. 15. The beam shown does not support construction likely to be damaged by large deflections. What is the minimum height of span BC in inches for deflection calculations to not be required? 16. What is the steel ratio ρ for the cross section shown? 17. The cross section in problem #16 is used as a beam with Grade 60 steel and f’c = 5 ksi. What is its coefficient of resistance Rn? 18. Is the beam in problem #17 strong enough to support a factored moment Mu = 260 ft-k? Provide calculations to justify your answer. ...
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CE 334 –
Week #4 Design of Rectangular Beams Homework Quiz

Name:________________

1. True or false: Use whole inches for the effective depth d of a beam.
False
2. What would be a reasonable estimate for d for the cross section shown?

3 #7 bars
(upper layer)
and 3 #9 bars
(lower layer)

d

h=36

Effective depth
d={h-clear cover-bar #9-(spacing b/w bar # 9 & # 7)/2}
-Typical cover for rebaned beam= 1.5’’
Bar spacing is maximum of
a. 1 inch
b. bar dia = #9=1.128 inches
c. 1.33*max aggregate size = 1.33*3/4inches
=0.9975 inches.

b=18

Therefore
d=36-1.5-1.128-(1.128/2)
[d=32.808’’]

3. What would be the minimum center to center spacing of the #7 bars for the cross section shown?
Assume the maximum aggregate size is 3/4”.
Centre to centre spacing b/w #7 bars.
b’=b-2c
=18’’-2*1.5’’
=15’’
C=1.5’’
#7=0.875’’
Centre to centre spacing= 15’’-s*(0.875)/2
=6.186’’
4. What would be the minimum clear spacing between the layer of #7 bars and the layer of #9 bars
for the cross section shown?
Clear spacing b/w #7 already explained

CE 334 –
Week #4 Design of Rectangular Beams Homework Quiz

Name:________________

It would be maximum of
i.
1 inch
ii.
Max bar dia
iii.
1.33*max aggregate size
= 1.128’’

5. A 4” thick floor slab is reinforced with #6 bars. What would be a reasonable estimate for its
effective depth d?
Effective d=G’’-0.75’’-(0.75’’/2)
=Slab thickness- clear cover-(dia of layer/2)
#6-0.75’’ dia layer
=0.75’’= clear cover provided to slab
Therefore d=2.875’’
6. What are stirrups u...

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