Engineering Problems: Steel Structures and Diaphragms, Exercises of Structural Design and Architecture

Solutions and partial answers to various engineering problems related to steel structures and diaphragms. Topics include completing text problems, determining maximum diaphragm shear, specifying nail and framing schedules, discussing lateral stability, and selecting economical steel beams and joists. Students can use this document as study notes, summaries, or schemes and mind maps to prepare for exams.

Typology: Exercises

2011/2012

Uploaded on 12/22/2012

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Problems:
1. Complete text problem 16.5 on page 588. Note: The numerical answer provided is not correct. It
should be 5,333 lb/in2.
2. Complete text problem 6.9 on page 317 with the following addition.
3. Given the building and the forces shown to the right, what is the maximum diaphragm shear in the
north-south direction?
Answer: V = 32,400 lb,
= 540 lb/ft.
4. For the roof diaphragm of problem 3, use the provided table from the Uniform Building Code to
specify a nail and framing schedule if the joists in the diaphragm are 2 in. nominal timbers.
Partial Answer: Any for a 2 in. minimum nominal width of the framing member with an allowable shear
of 540 lb/ft or greater for a blocked diaphragm.
5. Lateral stability is particularly important for steel shapes such as plate girders and wide flange
sections. Describe the reasoning for the concern and ways to prevent problems.
6. Select an economical ASTM A992 W-shape beam with a simple span of 40 feet. Limit the
member to a maximum nominal depth of 18 in. Limit the live load deflection to L/360. The
nominal loads are a uniform dead load of 1.2 kip/ft and a uniform live load of 1.1 kip/ft. The
beam is braced at the 3rd points. Use the Available Moment vs. Unbraced Length curves.
Partial Answer: ASD: Mmax = 460 k-ft, or LRFD: Mu = 640 k-ft, Ix(req'd) 1639 in4, W18 x ____
6.9
In addition, how far could it span
if it carried the same load, but was one span of a 3-span continuous beam?
Answer: 58.4 ft if simply supported.
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Problems:

1. Complete text problem 16.5 on page 588. Note: The numerical answer provided is not correct. It

should be 5,333 lb/in^2.

2. Complete text problem 6.9 on page 317 with the following addition.

3. Given the building and the forces shown to the right, what is the maximum diaphragm shear in the

north-south direction?

Answer: V = 32,400 lb,  = 540 lb/ft.

4. For the roof diaphragm of problem 3, use the provided table from the Uniform Building Code to

specify a nail and framing schedule if the joists in the diaphragm are 2 in. nominal timbers.

Partial Answer : Any for a 2 in. minimum nominal width of the framing member with an allowable shear of 540 lb/ft or greater for a blocked diaphragm.

5. Lateral stability is particularly important for steel shapes such as plate girders and wide flange

sections. Describe the reasoning for the concern and ways to prevent problems.

6. Select an economical ASTM A992 W-shape beam with a simple span of 40 feet. Limit the

member to a maximum nominal depth of 18 in. Limit the live load deflection to L/360. The

nominal loads are a uniform dead load of 1.2 kip/ft and a uniform live load of 1.1 kip/ft. The

beam is braced at the 3

rd

points. Use the Available Moment vs. Unbraced Length curves.

Partial Answer: ASD: Mmax = 460 k-ft, or LRFD: Mu = 640 k-ft , Ix(req'd) ≥ 1639 in^4 , W18 x ____ 6. In addition, how far could it span if it carried the same load, but was one span of a 3-span continuous beam? Answer: 58.4 ft if simply supported.

7. A column of ASTM A992 steel is 20 feet long and supports a load of 100 kips dead load and 100

kips live load. What is the most economical W10 column section that can support the load? Use

the chart provided.

Partial Answer: ASD lowest capacity = 224 kips, or LRFD lowest capacity = 337 kips (Pu = 280 kips)

8. A long span steel joist with a span of 80 feet is required to support a roof. The joists are spaced at

5 ft apart, the dead load is 15 lb/ft^2 (not including the self weight), the live roof load is 30 lb/ft^2

and the live load deflection is limited to L/360 (which is that used to determine the live load limit

based on deflection in the Joist catalogue tables). Using the table provided, select the most

economical joist that can be used considering the self weight. (Note: longer spans that can

support the load can also be used.)

Partial Answer: wtotal  360 lb/ft (assuming a reasonable self weight).