Solutions for Understanding Structures, 1st Edition Sozen (All Chapters included)
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Course
SE - Structural Engineer
Institution
SE - Structural Engineer
Complete Solutions Manual for Understanding Structures, 1st Edition by Mete A. Sozen, Toshikatsu Ichinose ; ISBN13: 9781420068610. (Full Chapters included Chapter 1 to 6)....1. Trusses
2. Moments and Deflections in Cantilever Beams
3. Moment and Deflections in Simply Supported Beams
4. Bending a...
1-3. Because the strength of the material is 200 N/mm2 and its cross-sectional area is 100 mm2, the
maximum possible axial force is 200 x 100 = 20 kN. On the other hand, the axial forces in members
AB and AC caused by an external force F are as follows (see Fig. 1-1).
394
, 2007/10/25
3 1
PAB = F PAC = F
2 2
Noting that PAB is larger than PAC, we can assume that the truss fails if PAB = 20 kN.
3 2
PAB = F = 20 leads to F = × 20 ≈ 23.1 (kN )
2 3
No. 4 is correct.
1-4. Equilibrium of the moments around support A leads to a reaction at support E expressed as
5
RE = × 20 = 5 ( N) .
20
Equilibrium of vertical forces leads to
RA = 20 − RE = 15 ( N) .
Equilibrium at joint A shown in Fig. 1-2a yields PAC = 15 kN, while equilibrium at joint E shown in
Fig. 1-2b yields PCE = 5 kN.
No. 1 is correct.
PAB PDE
PAB PDE
A PAC 15 kN 5 kN
E
PAC PCE PCE
15 kN 5 kN
(a) Equilibrium at node A (b) Equilibrium at node E
Fig. 1-2
1-5. The elongations of members AC and CE are calculated as below.
395
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