. Applying a factor of safety, we find that )Tj
/F10 1 Tf
24.22 0 TD
0 Tw
(t)Tj
/F4 1 Tf
6.96 0 0 6.96 385.921 409.697 Tm
(all)Tj
12 0 0 12 392.881 412.097 Tm
( = 11.61 ksi. The increase rate of lateral strain was faster than that of axial strain after 80 percent of the ultimate load. This is approximately 42% of the yield stress for compression/tension. %PDF-1.1
%
)Tj
ET
0.5 w
111.313 260.911 m
127.563 260.911 l
140.876 260.911 m
282.563 260.911 l
S
BT
/F9 1 Tf
12 0 2.64 12 91.095 257.817 Tm
(d)Tj
12 0 0 12 101.376 257.817 Tm
1.9145 Tc
[(==)-10453.2(=)]TJ
/F7 1 Tf
0.9427 0.6276 TD
0 Tc
(PL)Tj
-0.0156 -1.3906 TD
(EA)Tj
/F3 1 Tf
6.2083 1.3906 TD
[(1000)-822.8(0)-250(5)]TJ
-3.7891 -1.3906 TD
[(29000000)-1156(0)-250(0625)-786.4(0)-250(7511)]TJ
12.8385 0.763 TD
[(0)-250(00036)]TJ
-6.888 0.6276 TD
0.6615 Tc
(*. Formulas for Stress and Strain, 5)Tj
6.96 0 0 6.96 469.042 557.777 Tm
(th)Tj
12 0 0 12 474.481 552.737 Tm
0 Tw
( ed.,)Tj
-32.04 -1.16 TD
0.0001 Tc
0.0003 Tw
(McGraw-Hill Book Co., New York. The axial shortenings of eccentrically loaded columns were the almost same as that of the concentrically loaded column. )Tj
-1.5 -1.18 TD
0.0001 Tc
0.0006 Tw
[(FBD:)-18776.8(Stress Distribution:)]TJ
ET
103.201 222.977 m
103.921 222.977 l
103.921 222.257 l
102.481 221.777 l
101.761 221.777 l
101.761 222.497 l
f
104.881 223.457 m
105.601 223.457 l
105.601 222.737 l
103.921 222.257 l
103.201 222.257 l
103.201 222.977 l
f
106.321 223.697 m
107.041 223.697 l
107.041 222.977 l
105.601 222.737 l
104.881 222.737 l
104.881 223.457 l
f
0.72 w
106.321 223.337 m
108.481 223.337 l
S
107.761 223.697 m
108.481 223.697 l
109.921 223.217 l
109.921 222.497 l
109.201 222.497 l
107.761 222.977 l
f
109.201 223.217 m
109.921 223.217 l
110.881 222.977 l
110.881 222.257 l
110.161 222.257 l
109.201 222.497 l
f
110.161 222.977 m
110.881 222.977 l
111.601 222.497 l
111.601 221.777 l
110.881 221.777 l
110.161 222.257 l
f
110.881 222.497 m
111.601 222.497 l
112.081 222.257 l
112.081 221.537 l
111.361 221.537 l
110.881 221.777 l
f
111.721 222.257 m
111.721 220.817 l
S
111.361 221.537 m
112.081 221.537 l
112.081 220.817 l
111.841 220.097 l
111.121 220.097 l
111.121 220.817 l
f
111.121 220.817 m
111.841 220.817 l
111.841 220.097 l
111.361 219.857 l
110.641 219.857 l
110.641 220.577 l
f
111.001 220.577 m
111.001 219.857 l
110.641 220.217 m
111.601 220.217 l
S
111.601 220.817 m
112.321 220.817 l
112.321 220.097 l
111.601 219.857 l
110.881 219.857 l
110.881 220.577 l
f
112.561 221.057 m
113.281 221.057 l
113.281 220.337 l
112.321 220.097 l
111.601 220.097 l
111.601 220.817 l
f
113.761 221.537 m
114.481 221.537 l
114.481 220.817 l
113.281 220.337 l
112.561 220.337 l
112.561 221.057 l
f
113.761 221.537 m
114.481 221.537 l
116.641 221.297 l
116.641 220.577 l
115.921 220.577 l
113.761 220.817 l
f
115.921 221.297 m
116.641 221.297 l
117.601 221.057 l
117.601 220.337 l
116.881 220.337 l
115.921 220.577 l
f
116.881 221.057 m
117.601 221.057 l
118.561 220.577 l
118.561 219.857 l
117.841 219.857 l
116.881 220.337 l
f
117.841 220.577 m
118.561 220.577 l
119.041 219.857 l
119.041 219.137 l
118.321 219.137 l
117.841 219.857 l
f
118.321 219.857 m
119.041 219.857 l
119.521 218.897 l
119.521 218.177 l
118.801 218.177 l
118.321 219.137 l
f
118.801 218.897 m
119.521 218.897 l
119.761 217.937 l
119.761 217.217 l
119.041 217.217 l
118.801 218.177 l
f
119.041 217.937 m
119.761 217.937 l
120.481 217.697 l
120.481 216.977 l
119.761 216.977 l
119.041 217.217 l
f
120.721 217.937 m
121.441 217.937 l
121.441 217.217 l
120.481 216.977 l
119.761 216.977 l
119.761 217.697 l
f
121.441 218.657 m
122.161 218.657 l
122.161 217.937 l
121.441 217.217 l
120.721 217.217 l
120.721 217.937 l
f
121.921 219.617 m
122.641 219.617 l
122.641 218.897 l
122.161 217.937 l
121.441 217.937 l
121.441 218.657 l
f
122.641 220.577 m
123.361 220.577 l
123.361 219.857 l
122.641 218.897 l
121.921 218.897 l
121.921 219.617 l
f
124.801 222.017 m
125.521 222.017 l
125.521 221.297 l
123.361 219.857 l
122.641 219.857 l
122.641 220.577 l
f
126.721 223.697 m
127.441 223.697 l
127.441 222.977 l
125.521 221.297 l
124.801 221.297 l
124.801 222.017 l
f
126.721 223.697 m
127.441 223.697 l
128.161 222.497 l
128.161 221.777 l
127.441 221.777 l
126.721 222.977 l
f
127.441 222.497 m
128.161 222.497 l
128.641 221.297 l
128.641 220.577 l
127.921 220.577 l
127.441 221.777 l
f
127.921 221.297 m
128.641 221.297 l
129.601 220.097 l
129.601 219.377 l
128.881 219.377 l
127.921 220.577 l
f
128.881 220.097 m
129.601 220.097 l
130.561 219.617 l
130.561 218.897 l
129.841 218.897 l
128.881 219.377 l
f
129.841 219.617 m
130.561 219.617 l
133.201 219.377 l
133.201 218.657 l
132.481 218.657 l
129.841 218.897 l
f
132.481 219.377 m
133.201 219.377 l
135.361 219.137 l
135.361 218.417 l
134.641 218.417 l
132.481 218.657 l
f
136.321 219.377 m
137.041 219.377 l
137.041 218.657 l
135.361 218.417 l
134.641 218.417 l
134.641 219.137 l
f
136.321 219.017 m
138.241 219.017 l
S
138.481 219.857 m
139.201 219.857 l
139.201 219.137 l
138.241 218.657 l
137.521 218.657 l
137.521 219.377 l
f
138.961 220.097 m
139.681 220.097 l
139.681 219.377 l
139.201 219.137 l
138.481 219.137 l
138.481 219.857 l
f
139.681 221.057 m
140.401 221.057 l
140.401 220.337 l
139.681 219.377 l
138.961 219.377 l
138.961 220.097 l
f
140.041 221.537 m
140.041 220.337 l
139.681 221.177 m
140.641 221.177 l
S
139.921 221.537 m
140.641 221.537 l
140.881 221.297 l
140.881 220.577 l
140.161 220.577 l
139.921 220.817 l
f
140.161 221.297 m
140.881 221.297 l
141.601 220.817 l
141.601 220.097 l
140.881 220.097 l
140.161 220.577 l
f
140.881 220.817 m
141.601 220.817 l
142.321 219.857 l
142.321 219.137 l
141.601 219.137 l
140.881 220.097 l
f
141.601 219.857 m
142.321 219.857 l
143.521 218.657 l
143.521 217.937 l
142.801 217.937 l
141.601 219.137 l
f
143.521 219.377 m
144.241 219.377 l
144.241 218.657 l
143.521 217.937 l
142.801 217.937 l
142.801 218.657 l
f
144.241 220.337 m
144.961 220.337 l
144.961 219.617 l
144.241 218.657 l
143.521 218.657 l
143.521 219.377 l
f
144.961 221.057 m
145.681 221.057 l
145.681 220.337 l
144.961 219.617 l
144.241 219.617 l
144.241 220.337 l
f
145.681 221.537 m
146.401 221.537 l
146.401 220.817 l
145.681 220.337 l
144.961 220.337 l
144.961 221.057 l
f
146.881 221.777 m
147.601 221.777 l
147.601 221.057 l
146.401 220.817 l
145.681 220.817 l
145.681 221.537 l
f
146.881 221.777 m
147.601 221.777 l
148.321 221.537 l
148.321 220.817 l
147.601 220.817 l
146.881 221.057 l
f
147.601 221.537 m
148.321 221.537 l
149.041 221.297 l
149.041 220.577 l
148.321 220.577 l
147.601 220.817 l
f
148.321 221.297 m
149.041 221.297 l
149.521 220.577 l
149.521 219.857 l
148.801 219.857 l
148.321 220.577 l
f
148.801 220.577 m
149.521 220.577 l
150.241 219.137 l
150.241 218.417 l
149.521 218.417 l
148.801 219.857 l
f
149.521 219.137 m
150.241 219.137 l
150.481 217.697 l
150.481 216.977 l
149.761 216.977 l
149.521 218.417 l
f
151.201 217.937 m
151.921 217.937 l
151.921 217.217 l
150.481 216.977 l
149.761 216.977 l
149.761 217.697 l
f
151.921 218.177 m
152.641 218.177 l
152.641 217.457 l
151.921 217.217 l
151.201 217.217 l
151.201 217.937 l
f
152.641 218.657 m
153.361 218.657 l
153.361 217.937 l
152.641 217.457 l
151.921 217.457 l
151.921 218.177 l
f
153.121 219.377 m
153.841 219.377 l
153.841 218.657 l
153.361 217.937 l
152.641 217.937 l
152.641 218.657 l
f
153.601 220.337 m
154.321 220.337 l
154.321 219.617 l
153.841 218.657 l
153.121 218.657 l
153.121 219.377 l
f
154.081 221.057 m
154.801 221.057 l
154.801 220.337 l
154.321 219.617 l
153.601 219.617 l
153.601 220.337 l
f
154.801 221.537 m
155.521 221.537 l
155.521 220.817 l
154.801 220.337 l
154.081 220.337 l
154.081 221.057 l
f
154.801 221.177 m
156.481 221.177 l
S
155.761 221.537 m
156.481 221.537 l
157.441 221.297 l
157.441 220.577 l
156.721 220.577 l
155.761 220.817 l
f
156.721 221.297 m
157.441 221.297 l
159.361 220.577 l
159.361 219.857 l
158.641 219.857 l
156.721 220.577 l
f
159.361 221.537 m
160.081 221.537 l
160.081 220.817 l
159.361 219.857 l
158.641 219.857 l
158.641 220.577 l
f
159.841 222.497 m
160.561 222.497 l
160.561 221.777 l
160.081 220.817 l
159.361 220.817 l
159.361 221.537 l
f
160.321 223.457 m
161.041 223.457 l
161.041 222.737 l
160.561 221.777 l
159.841 221.777 l
159.841 222.497 l
f
160.561 223.697 m
161.281 223.697 l
161.281 222.977 l
161.041 222.737 l
160.321 222.737 l
160.321 223.457 l
f
160.561 223.337 m
161.521 223.337 l
161.161 223.697 m
161.161 222.497 l
S
160.801 223.217 m
161.521 223.217 l
162.001 222.497 l
162.001 221.777 l
161.281 221.777 l
160.801 222.497 l
f
161.281 222.497 m
162.001 222.497 l
162.961 222.017 l
162.961 221.297 l
162.241 221.297 l
161.281 221.777 l
f
162.241 222.017 m
162.961 222.017 l
164.401 221.537 l
164.401 220.817 l
163.681 220.817 l
162.241 221.297 l
f
163.681 221.177 m
166.321 221.177 l
S
167.281 221.777 m
168.001 221.777 l
168.001 221.057 l
166.321 220.817 l
165.601 220.817 l
165.601 221.537 l
f
168.961 222.257 m
169.681 222.257 l
169.681 221.537 l
168.001 221.057 l
167.281 221.057 l
167.281 221.777 l
f
170.641 222.497 m
171.361 222.497 l
171.361 221.777 l
169.681 221.537 l
168.961 221.537 l
168.961 222.257 l
f
170.641 222.497 m
171.361 222.497 l
173.041 222.017 l
173.041 221.297 l
172.321 221.297 l
170.641 221.777 l
f
172.321 222.017 m
173.041 222.017 l
173.761 221.537 l
173.761 220.817 l
173.041 220.817 l
172.321 221.297 l
f
173.041 221.177 m
174.481 221.177 l
S
174.481 222.017 m
175.201 222.017 l
175.201 221.297 l
174.481 220.817 l
173.761 220.817 l
173.761 221.537 l
f
175.201 222.737 m
175.921 222.737 l
175.921 222.017 l
175.201 221.297 l
174.481 221.297 l
174.481 222.017 l
f
175.921 223.457 m
176.641 223.457 l
176.641 222.737 l
175.921 222.017 l
175.201 222.017 l
175.201 222.737 l
f
176.641 223.697 m
177.361 223.697 l
177.361 222.977 l
176.641 222.737 l
175.921 222.737 l
175.921 223.457 l
f
176.641 223.697 m
177.361 223.697 l
178.321 223.457 l
178.321 222.737 l
177.601 222.737 l
176.641 222.977 l
f
177.601 223.457 m
178.321 223.457 l
179.041 222.977 l
179.041 222.257 l
178.321 222.257 l
177.601 222.737 l
f
178.321 222.977 m
179.041 222.977 l
179.761 222.257 l
179.761 221.537 l
179.041 221.537 l
178.321 222.257 l
f
179.041 222.257 m
179.761 222.257 l
180.481 221.537 l
180.481 220.817 l
179.761 220.817 l
179.041 221.537 l
f
179.761 221.537 m
180.481 221.537 l
181.441 220.337 l
181.441 219.617 l
180.721 219.617 l
179.761 220.817 l
f
180.721 220.337 m
181.441 220.337 l
181.921 219.137 l
181.921 218.417 l
181.201 218.417 l
180.721 219.617 l
f
181.201 219.137 m
181.921 219.137 l
182.401 218.657 l
182.401 217.937 l
181.681 217.937 l
181.201 218.417 l
f
181.681 218.657 m
182.401 218.657 l
182.641 218.177 l
182.641 217.457 l
181.921 217.457 l
181.681 217.937 l
f
182.281 218.177 m
182.281 217.217 l
S
181.681 218.657 m
182.401 218.657 l
182.641 217.937 l
182.641 217.217 l
181.921 217.217 l
181.681 217.937 l
f
181.441 219.377 m
182.161 219.377 l
182.401 218.657 l
182.401 217.937 l
181.681 217.937 l
181.441 218.657 l
f
181.681 220.337 m
182.401 220.337 l
182.401 219.617 l
182.161 218.657 l
181.441 218.657 l
181.441 219.377 l
f
182.401 221.297 m
183.121 221.297 l
183.121 220.577 l
182.401 219.617 l
181.681 219.617 l
181.681 220.337 l
f
182.881 221.537 m
183.601 221.537 l
183.601 220.817 l
183.121 220.577 l
182.401 220.577 l
182.401 221.297 l
f
182.881 221.177 m
184.561 221.177 l
S
183.841 221.537 m
184.561 221.537 l
186.001 221.297 l
186.001 220.577 l
185.281 220.577 l
183.841 220.817 l
f
185.281 221.297 m
186.001 221.297 l
186.961 220.337 l
186.961 219.617 l
186.241 219.617 l
185.281 220.577 l
f
186.241 220.337 m
186.961 220.337 l
188.161 219.617 l
188.161 218.897 l
187.441 218.897 l
186.241 219.617 l
f
187.441 219.617 m
188.161 219.617 l
189.361 218.657 l
189.361 217.937 l
188.641 217.937 l
187.441 218.897 l
f
189.121 219.377 m
189.841 219.377 l
189.841 218.657 l
189.361 217.937 l
188.641 217.937 l
188.641 218.657 l
f
189.601 220.337 m
190.321 220.337 l
190.321 219.617 l
189.841 218.657 l
189.121 218.657 l
189.121 219.377 l
f
190.081 221.057 m
190.801 221.057 l
190.801 220.337 l
190.321 219.617 l
189.601 219.617 l
189.601 220.337 l
f
190.801 221.537 m
191.521 221.537 l
191.521 220.817 l
190.801 220.337 l
190.081 220.337 l
190.081 221.057 l
f
192.001 221.777 m
192.721 221.777 l
192.721 221.057 l
191.521 220.817 l
190.801 220.817 l
190.801 221.537 l
f
192.001 221.777 m
192.721 221.777 l
193.681 221.297 l
193.681 220.577 l
192.961 220.577 l
192.001 221.057 l
f
192.961 221.297 m
193.681 221.297 l
194.641 220.337 l
194.641 219.617 l
193.921 219.617 l
192.961 220.577 l
f
193.921 220.337 m
194.641 220.337 l
195.361 219.617 l
195.361 218.897 l
194.641 218.897 l
193.921 219.617 l
f
111.601 238.937 m
191.041 238.937 l
S
112.321 242.897 m
104.401 239.057 l
112.321 235.217 l
112.321 242.897 l
f*
190.081 235.217 m
198.001 239.057 l
190.081 242.897 l
190.081 235.217 l
f*
1 g
364.081 189.617 92.88 20.88 re
f
363.721 210.857 93.6 -21.6 re
385.321 211.217 m
385.321 196.337 l
S
0 g
381.361 197.297 m
385.201 189.377 l
389.041 197.297 l
381.361 197.297 l
f*
399.721 211.217 m
399.721 196.337 l
S
395.761 197.297 m
399.601 189.377 l
403.441 197.297 l
395.761 197.297 l
f*
414.121 211.217 m
414.121 196.337 l
S
410.161 197.297 m
414.001 189.377 l
417.841 197.297 l
410.161 197.297 l
f*
428.521 211.217 m
428.521 196.337 l
S
424.561 197.297 m
428.401 189.377 l
432.241 197.297 l
424.561 197.297 l
f*
442.921 211.217 m
442.921 196.337 l
S
438.961 197.297 m
442.801 189.377 l
446.641 197.297 l
438.961 197.297 l
f*
1 g
364.081 211.217 92.88 71.28 re
f
363.721 282.857 93.6 -72 re
370.921 211.217 m
370.921 196.337 l
S
0 g
366.961 197.297 m
370.801 189.377 l
374.641 197.297 l
366.961 197.297 l
f*
1 g
421.02 278.52 m
421.02 272.757 416.343 268.08 410.58 268.08 c
404.817 268.08 400.14 272.757 400.14 278.52 c
400.14 284.283 404.817 288.96 410.58 288.96 c
416.343 288.96 421.02 284.283 421.02 278.52 c
f
421.38 278.52 m
421.38 272.558 416.542 267.72 410.58 267.72 c
404.618 267.72 399.78 272.558 399.78 278.52 c
399.78 284.482 404.618 289.32 410.58 289.32 c
416.542 289.32 421.38 284.482 421.38 278.52 c
h
147.721 204.017 m
147.721 181.937 l
S
0 g
143.761 182.897 m
147.601 174.977 l
151.441 182.897 l
143.761 182.897 l
f*
147.721 326.177 m
147.721 300.257 l
S
151.441 325.457 m
147.601 333.377 l
143.761 325.457 l
151.441 325.457 l
f*
1 g
207.121 313.937 70.08 -48 re
f*
0 g
168.001 305.057 m
168.721 305.057 l
168.721 304.337 l
148.561 263.297 l
147.841 263.297 l
147.841 264.017 l
f
168.001 304.697 m
201.601 304.697 l
S
BT
12 0 0 12 214.801 299.297 Tm
0 Tc
0 Tw
(D=0.25 in)Tj
ET
1 G
215.761 710.057 m
295.681 710.057 l
S
0 G
399.001 311.537 m
399.001 282.257 l
S
402.721 310.817 m
398.881 318.737 l
395.041 310.817 l
402.721 310.817 l
f*
371.041 295.697 m
371.761 295.697 l
371.761 294.977 l
365.761 293.777 l
365.041 293.777 l
365.041 294.497 l
f
376.561 297.617 m
377.281 297.617 l
377.281 296.897 l
371.761 294.977 l
371.041 294.977 l
371.041 295.697 l
f
381.601 299.777 m
382.321 299.777 l
382.321 299.057 l
377.281 296.897 l
376.561 296.897 l
376.561 297.617 l
f
386.161 302.657 m
386.881 302.657 l
386.881 301.937 l
382.321 299.057 l
381.601 299.057 l
381.601 299.777 l
f
390.001 305.777 m
390.721 305.777 l
390.721 305.057 l
386.881 301.937 l
386.161 301.937 l
386.161 302.657 l
f
393.361 309.377 m
394.081 309.377 l
394.081 308.657 l
390.721 305.057 l
390.001 305.057 l
390.001 305.777 l
f
396.001 313.217 m
396.721 313.217 l
396.721 312.497 l
394.081 308.657 l
393.361 308.657 l
393.361 309.377 l
f
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