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Statics and Strength of Materials for Architecture and Building Construction [EXP-9875]
157 SOLVED PROBLEMS
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Question: 2.16
A 1.5 kN force from a piston acts on the end of a 300 mm lever. Determine the moment of the force about the axle through reference point O.
Verified Answer:
In this case, finding the perpendicular distance [...
Question: 5.15
A 15-passenger elevator in a 15-story building is raised by using a one-inch-diameter 1^” steel rope. Assuming that the city code requires a factor of safety of 11 against the ultimate strength of the rope, check the adequacy of the rope and its elongation.
Verified Answer:
One-inch
1^{\prime \prime }
-diam...
Question: 9.16
A 22-foot-tall glu-lam column is required to support a roof load (including snow) of 40 k. Assuming 8 3/4^” in one dimension (to match the beam width above), determine the minimum column size if the top and bottom are pin supported. Select from the following sizes: 8 3/4^” × 9^” (A = 78.75 in.^2 )
Verified Answer:
Glu-lam column:
\left(F_{ c }=1,650 psi , E...
Question: 9.8
A 24-foot-tall steel column (W14 × 82) with Fy = 50 ksi has pins at both ends. Its weak axis is braced at midheight, but the column is free to buckle the full 24 feet in the strong direction. Determine the safe load capacity for this column.
Verified Answer:
Properties of the W14 × 82: A = 24.1 in.²
r...
Question: 8.1
A 4 × 12 S4S Douglas fir beam is loaded and supported as shown. a. Calculate the maximum bending stress developed in the beam. b. Determine the magnitude of the bending stress developed three feet to the left of support B.
Verified Answer:
The maximum bending stress developed in the beam o...
Question: 9.9
A 4^”Φ standard weight steel pipe (Fy = 50 ksi) supports a roof framing system as shown. The timber beam-to-column connection is considered to be a pin, while the base of the column is rigidly embedded into the concrete. If the load from the roof is 35 k, is the column adequate?
Verified Answer:
Four-inch"-diameter standard weight pipe: A = 3.17...
Question: 9.13
A 6 × 8 Douglas fir No. 1 post supports a roof load of 20 k. Check the adequacy of the column assuming pin support conditions at the top and bottom. From Table 5.2, use Fc = 1,000 psi and E = 1.6 × 10^6 psi.
Verified Answer:
6 × 8 S4S Douglas fir No. 1 (A = 41.25 in.² ) &nbs...
Question: 5.13
A 600-foot-long roof cable cannot be permitted to stretch more than three feet when loaded, or the roof geometry will be affected too drastically. If Es = 29 × 10^3 ksi and the load is 1,500 k, determine the required cable diameter needed to avoid excessive elongation or overstress. Ft = 100 ksi (a
Verified Answer:
\delta =\frac{PL}{AE} \space ; A=\frac{PL}{...
Question: 4.10
A beach cabin on the Washington coast (100 mph wind velocity) is required to resist a wind pressure of 35 psf. Assuming wood-frame construction, the cabin utilizes a roof diaphragm and four exterior shearwalls for its lateral resisting strategy. Draw an exploded view of the building, and perform a
Verified Answer:
\omega =35 \space psf \times 7.5^\prime=262...
Question: 2.27
A beam loaded with a 500# force has one end pin supported and the other resting on a smooth surface. Determine the support reactions at A and B.
Verified Answer:
The first step in solving any of these equilibrium...
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