Your Question:

3) Disregarding the result from Question 1, assume Column 4 has a tributary area of 800 ft². The applied dead load is 200 psf and the applied floor live load is 80 psf. If the column supports eight (8) floors total, what is the maximum strength-level reaction at its base? Check all applicable load combinations.

Step By Step Answers with Explanation

3. 1.2D: This load combination accounts for a fraction of the dead load with increased intensity.

4. 1.2D + 1.6L: This is a common load combination that accounts for both dead and live loads, where live load is increased.

- Dead Load (D) = 200 psf

- Live Load (L) = 80 psf

Wd = 200 psf * 800 ft²

Wd = 160,000 pounds

3. Calculate the Maximum Strength-Level Reaction for Each Load Combination:

a. Dead Load Only (D):

Rl = 64,000 pounds

c. 1.2D:

R1.2D_1.6L = 1.2 * Wd + 1.6 * Wl

R1.2D_1.6L = 1.2 * 160,000 pounds + 1.6 * 64,000 pounds

R1.2D_1.0L = 1.2 * 160,000 pounds + 1.0 * 64,000 pounds

R1.2D_1.0L = 192,000 pounds + 64,000 pounds

R0.9D_1.0L = 144,000 pounds + 64,000 pounds

R0.9D_1.0L = 208,000 pounds

- 1.2D: 192,000 pounds

- 1.2D + 1.6L: 294,400 pounds