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Posted: September 12th, 2022
FSE 445 Assignment 7b
FSE 445 Assignment 7b (30 Points Total)
Complete the following questions following the guidelines for engineering calculations. Assignment can be typed or performed by hand and scanned into computer. Please place all final answers on this assignment sheet to aid in grading!!!
1. What is the compressive strength of normal weight concrete (3,000 psi compressive strength) that has been heated to a temperature of 560 °C? (1 point)
2. What is the tensile strength of normal weight concrete (600 psi tensile strength) that has been heated to a temperature of 560°C? (1 point)
3. What is the reduction factor for the modulus of elasticity of normal weight concrete that has been heated to 300 °C? (1 point)
4. What is yield strength of reinforcing steel (yield strength 40,000 psi) at a temperature of 430°C using the following methods (2 points):
a. ASCE Manual
b. Eurocode 2
5. What is the minimum thickness of a pre-cast concrete wall to provide (2 points):
a. 1 hour of resistance using siliceous concrete.
b. 4 hours of resistance using carbonate concrete.
6. Assuming you apply 5/8” coating of gypsum wallboard to the non-fire exposed side of a 6” thick siliceous concrete wall, what is the new effective thickness to be used to determine the resistance of the wall (1 point)?
7. What amount of time can be added to the resistance of a concrete wall assuming the following is applied to the fire-exposed side of a wall (2 points)?
a. 2 layers of 3/8” gypsum wallboard.
b. ¾” of gypsum sand plaster on metal lath
8. What is the minimum cover for an unrestrained concrete beam with a width of 12” required to provide a protection of 1.5 hours (1 point)?
9. What is the minimum dimension of a carbonate concrete column required to have 3 hours of fire resistance (1 point)?
10. Calculate the fire resistance of a monolithic slab of concrete used as a ceiling. The thickness of the concrete is 5 inches. Use a conservative approach. Provide an answer for both lightweight and normal weight concrete (2 points).
11. Calculate the fire resistance of a double layer configuration of concrete used for a wall. Each layer of concrete is 1.5 inches thick and the air gap is 2 inches thick. Use a conservative approach. Provide an answer for both lightweight and normal weight concrete (2 points).
12. Calculate the fire resistance of a hollow slab configuration of concrete used for a wall. The total thickness of the configuration is 5 inches. The thickness of the slab on either side of the configuration is 1.5 inches. The thickness of the web is 1 inch thick. And the distance between the centerlines of two webs is 6 inches. Use a conservative approach and provide an answer for normal weight concrete (1 points).
13. Calculate the fire resistance of a composite slab in which the base is lightweight concrete with a thickness of 5 inches and the additional slab is normal weight concrete with a thickness of 28 inches (1 point).
14. Calculate the fire resistance of a composite slab in which the base is normal weight concrete with a thickness of 4 inches and the additional slab is lightweight concrete with a thickness of 25 inches (1 point).
15. Calculate the fire resistance of a configuration of 4 wythes (monolithic slabs) of normal weight concrete each 2 inches thick. Use a conservative approach (1 point).
16. Create an excel spreadsheet and plot the standard ASTM E119 time-temperature curve on a 5 second interval. Next, plot a temperature line for the reinforced steel within a normal strength concrete beam being heated on one side. The beam is 250mm thick and the steel has a cover of 20mm. Utilize the Wickström formula and the Kodur and Raut approach and plot a line for each (5 points).
17. A reinforced concrete beam with a cross section of 250mm by 250mm and a span of 4m is subjected to an ASTM E119 standard fire. The concrete cover to the rebars are 20mm and the area of the steel reinforcement is 1785mm2. The beam is made of 35MPa concrete and 450MPa grade steel reinforcement. The beam is subjected to a uniformly distributed dead load of 25KN/m and a live load of 30KN/m. Determine if the beam can withstand the fire for 2 hours (Hint: use reinforced steel temperature from question 16) (5 points)
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