QUIZ No. 1
1. What is the maximum force that a grade 40 steel could carry, if the diameter of the
bar is 2 inches? Ans. 125.66 kips
2. At this stage, the concrete at the tension side does not crack, and the steel at the
tension side does not yield. Ans. Stage 1
3. Why there is a multiplier of "n" in Area of Steel in the Cracked Analysis? Ans. To
convert the exposed steel into concrete.
Situation 1. A reinforced concrete beam has a width of 250 mm, and an effective
depth of 400 mm, and a modular ratio of 10. The actual maximum stresses developed
for concrete and steel are 6 MPa, and 120 MPa, respectively. Note As is NOT given.
Cracked Analysis.
4. Determine the value of "kd". Ans. 133.33mm
5. Determine the Moment Applied by the Concrete. Ans. 35.56 kN-m
6. What is the reason why the crack at the tension side always occurs approximately
at the midspan? Ans. The maximum moment lies approximately at the
midspan.
Situation 2. A reinforced concrete beam has a width of 280 mm and an effective depth
of 520 mm. It is reinforced with 4-28 mm diameters at the bottom. If fc' = 22 MPa,
and fs = 150 MPa, n = 9. Using Cracked Analysis:
7. Determine Moment Carried by the Concrete. Ans. 135.42 kN-m
8. Determine Moment Carried by the Steel. Ans. 165.21 kN-m
9. What is the modulus of rupture of the concrete beam, where is strain is 0.002, and
a modulus of elasticity of 13,333 MPa. The concrete is normal weight. Ans.
3.615MPa
10. A circular beam is required to determine its actual tensile strength. If it is
subjected to a moment of 15 kN-m, and the radius of the beam is 180 mm.
Determine the actual tensile strength of the beam. Uncracked Analysis. Ans.
3.275MPa
11. A beam having 5 - #10 bars is placed in the tension side. What is the As?
Ans. 6.136in2