The floor plan of a building is shown below. The uniform dead and live loads applied over the floor are qD=65 psf and qL=90 psf. Compute the seismic weight, W (kip), supported by this floor. Assume 25% of the live load contributes to seismic weight. Compute the seismic mass, m, supported by this floor. Assume g=32.2 ft/sec2. Indi- cate the correct units of mass in terms of kip, ft, and sec. A “lollipop” model of an SFRS has seismic weight W=450 kip and stiffness k=60 kip/inch. What is the natural period, Tn, of the building model? If the stiffness of the lollipop model in the previous problem is doubled, i.e., k becomes 120 kip/inch, what is the natural period of the new model?
The floor plan of a building is shown below. The uniform dead and live loads applied over the floor are qD=65 psf and qL=90 psf. Compute the seismic weight, W (kip), supported by this floor. Assume 25% of the live load contributes to seismic weight. Compute the seismic mass, m, supported by this floor. Assume g=32.2 ft/sec2. Indi- cate the correct units of mass in terms of kip, ft, and sec. A “lollipop” model of an SFRS has seismic weight W=450 kip and stiffness k=60 kip/inch. What is the natural period, Tn, of the building model? If the stiffness of the lollipop model in the previous problem is doubled, i.e., k becomes 120 kip/inch, what is the natural period of the new model?
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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The floor plan of a building is shown below. The uniform dead and live loads applied over
the floor are qD=65 psf and qL=90 psf.
Compute the seismic weight, W (kip), supported by this floor. Assume 25% of the live load contributes to seismic weight.
Compute the seismic mass, m, supported by this floor. Assume g=32.2 ft/sec2. Indi- cate the correct units of mass in terms of kip, ft, and sec.
A “lollipop” model of an SFRS has seismic weight W=450 kip and stiffness k=60 kip/inch. What is the natural period, Tn, of the building model?
If the stiffness of the lollipop model in the previous problem is doubled, i.e., k becomes 120 kip/inch, what is the natural period of the new model?
Transcribed Image Text:**Building Floor Plan: Typical**
The diagram is a typical building floor plan with gridlines labeled A through F horizontally and 1 through 6 vertically.
### Column Lines:
- **Horizontal Columns (A to F):**
- W16×26 beams run along lines A and F on both edges.
- At line C, marked "Sym. About," the plan is symmetric.
- **Vertical Columns (1 to 6):**
- The beams between lines are primarily W14×22, with a W27×84 beam at line 1 between grids C and D.
- Symmetry is also noted between rows 3 and 4.
### Floor Dimensions:
- The building measures 5 @ 9.14 m (30 ft) horizontally for a total of 45.7 m (150 ft).
- Vertically, there are 5 segments of 6.10 m (20 ft) each, totaling 30.5 m (100 ft).
### Structural Features:
- **BRBF:** Buckling-Restrained Braced Frame indicated along the vertical F line.
- **SMF:** Special Moment Frame highlighted along the horizontal base at line 1.
- Symmetrical indicators are marked on both horizontal and vertical middle lines to denote symmetry in design.
### Orientation:
- A compass arrow at the bottom left indicates north, ensuring correct spatial orientation of the plan.
This floor plan demonstrates a typical structural grid layout used in building design, providing a clear depiction of beam placement and structural symmetry.
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