Example.
If the size of the rivet used is 7⁄8ths, then 7⁄8 × 21⁄2 = 22⁄10
inches nearly, and this gives the proportionate strength of the plate
and the rivet, see page 113.
Figs. 57, 58, 59 and 60 show quite clearly the joints and rivet work
done in locomotive and marine work. Fig. 60 shows method of riveting 3
plates, A, B, and C, together.
RULE FOR SAFE INTERNAL PRESSURE
The safe internal pressure on cylindrical shells is found according to
the following rule, which has been adopted by the United States Board
of Supervising Inspectors, and any boiler shell not found in the tables
can be determined by this rule.
Rule.—Multiply one-sixth of the lowest tensile strength
found stamped on any plate in the cylindrical shell by the
thickness—expressed in inches or parts of an inch—of the thinnest
plate in the same cylindrical shell, and divide by the radius or half
diameter—also expressed in inches—and the result will be the pressure
allowable per square inch of surface for single riveting, to which add
twenty per centum for double riveting.
The hydrostatic pressure applied, under this table and rule, must be in
the proportion of one hundred and fifty pounds to the square inch, to
one hundred pounds to the square inch of the working pressure allowed.
Example.
What pressure should be allowed to be carried on a boiler 60″ diameter,
made of plates 3⁄8″ thick, having a tensile strength of 60,000 pounds?
Now then:
6)60,000
———
10,000
3
———
8)30,000
———
Half diam. 30)3750(125. lbs.—if single riveted.
30
——
75
60
——
150 125 + 25 lbs. (20 feet) = 150 for
150 double riveted.
TABLES SAFE INTERNAL PRESSURE.
Diameter
of
Boiler. |
Thickness
of
Plates |
Pressure. |
Pressure. |
Pressure. |
Single
Riveted |
Double
Riveted |
Single
Riveted |
Double
Riveted |
Single
Riveted |
Double
Riveted |
45,000 Tensile
Strength.
1-6, 7,500 |
50,000 Tensile
Strength.
1-6, 8,333.3 |
55,000 Tensile
Strength.
1-6, 9,166.6 |
| 36 Inches |
.21 |
87.5 |
105. |
97.21 |
116.65 |
106.94 |
128.3 |
| .23 |
95.83 |
114.99 |
106.47 |
127.76 |
117.12 |
140.54 |
| .25 |
104.16 |
124.99 |
115.74 |
138.88 |
127.31 |
152.77 |
| .26 |
108.33 |
129.99 |
120.37 |
144.44 |
132.4 |
158.88 |
| .29 |
120.83 |
144.99 |
134.25 |
161.11 |
147.68 |
177.21 |
| .33 |
137.5 |
165. |
152.77 |
183.32 |
168.05 |
201.66 |
| .35 |
145.83 |
174.99 |
162.03 |
194.43 |
178.23 |
213.87 |
| .375 |
156.25 |
187.5 |
173.61 |
208.33 |
190.97 |
229.16 |
| |
|
60,000 Tensile
Strength.
1-6, 10,000 |
65,000 Tensile
Strength.
1-6, 10,833.3 |
70,000 Tensile
Strength.
1-6, 11,666.6 |
| |
.21 |
116.66 |
139.99 |
126.38 |
151.65 |
136.11 |
163.33 |
| .23 |
127.77 |
153.32 |
138.41 |
166.09 |
149.07 |
178.88 |
| .25 |
138.88 |
166.65 |
150.46 |
180.55 |
162.03 |
194.43 |
| .26 |
144.44 |
173.32 |
156.48 |
187.77 |
168.51 |
202.21 |
| .29 |
161.11 |
193.33 |
174.53 |
209.43 |
187.90 |
225.48 |
| .33 |
183.33 |
219.99 |
198.61 |
238.33 |
213.88 |
256.65 |
| .35 |
194.44 |
233.32 |
210.64 |
252.76 |
226.84 |
272.20 |
| .375 |
208.33 |
249.99 |
225.69 |
271.82 |
243.05 |
291.66 |
| |
|
45,000 Tensile
Strength.
1-6, 7,500 |
50,000 Tensile
Strength.
1-6, 8,333.3 |
55,000 Tensile
Strength.
1-6, 9,166.6 |
| 40 Inches. |
.21 |
78.75 |
94.50 |
87.49 |
104.98 |
96.24 |
115.48 |
| .23 |
86.25 |
103.5 |
95.83 |
114.99 |
105.41 |
126.49 |
| .25 |
93.75 |
112.5 |
104.16 |
124.99 |
114.58 |
137.49 |
| .26 |
97.5 |
117. |
108.33 |
129.99 |
119.16 |
142.99 |
| .29 |
108.75 |
130.5 |
120.83 |
144.99 |
132.91 |
159.49 |
| .3125 |
117.18 |
140.61 |
130.2 |
156.24 |
143.22 |
171.86 |
| .33 |
123.75 |
148.5 |
137.49 |
164.98 |
151.24 |
181.48 |
| .35 |
131.25 |
157.5 |
145.83 |
174.99 |
160.41 |
192.49 |
| .375 |
140.62 |
168.74 |
156.24 |
187.48 |
171.87 |
206.24 |
| |
|
60,000 Tensile
Strength.
1-6, 10,000 |
65,000 Tensile
Strength.
1-6, 10,833.3 |
70,000 Tensile
Strength.
1-6, 11,666.6 |
| |
.21 |
105. |
126. |
113.74 |
136.48 |
122.49 |
146.98 |
| .23 |
115. |
138. |
124.58 |
149.49 |
134.16 |
160.99 |
| .25 |
125. |
150. |
135.41 |
162.49 |
145.83 |
174.99 |
| .26 |
130. |
156. |
140.83 |
68.99 |
151.66 |
181.99 |
| .29 |
145. |
174. |
157.08 |
188.49 |
169.16 |
202.99 |
| .3125 |
156.25 |
187.45 |
169.27 |
203.12 |
182.29 |
218.74 |
| .33 |
165. |
198. |
178.74 |
214.48 |
192.49 |
230.98 |
| .35 |
175. |
210. |
189.58 |
227.49 |
204.16 |
244.99 |
| .375 |
187.5 |
225. |
203.12 |
243.74 |
218.74 |
262.48 |
| |
|
45,000 Tensile
Strength.
1-6, 7,500 |
50,000 Tensile
Strength.
1-6, 8,333.3 |
55,000 Tensile
Strength.
1-6, 9,166.6 |
| 42 Inches. |
.21 |
75. |
90.00 |
83.32 |
99.99 |
91.66 |
109.99 |
| .23 |
82.14 |
98.56 |
91.23 |
109.51 |
100.39 |
120.46 |
| .25 |
89.28 |
107.13 |
99.2 |
119.04 |
109.12 |
130.94 |
| .26 |
92.85 |
111.42 |
103.17 |
123.8 |
113.49 |
136.18 |
| .29 |
103.57 |
124.28 |
115.07 |
138.08 |
126.57 |
151.85 |
| .3125 |
111.6 |
133.92 |
124. |
148.8 |
136.4 |
163.68 |
| .33 |
117.85 |
141.42 |
130.94 |
157.12 |
144.04 |
172.84 |
| .35 |
125. |
150. |
138.88 |
166.65 |
152.77 |
183.32 |
| .375 |
133.92 |
160.7 |
148.8 |
178.56 |
163.68 |
196.40 |
| |
|
60,000 Tensile
Strength.
1-6, 10,000 |
65,000 Tensile
Strength.
1-6, 10,833.3 |
70,000 Tensile
Strength.
1-6, 11,666.6 |
| |
.21 |
100. |
120. |
108.33 |
129.99 |
116.66 |
139.99 |
| .23 |
109.52 |
131.42 |
118.65 |
142.38 |
127.77 |
153.32 |
| .25 |
119.04 |
142.84 |
128.96 |
154.75 |
138.88 |
166.65 |
| .26 |
123.8 |
148.56 |
134.12 |
160.94 |
144.44 |
173.32 |
| .29 |
138.09 |
165.7 |
149.6 |
179.52 |
161.11 |
193.33 |
| .3125 |
148.74 |
178.56 |
161.2 |
193.44 |
173.61 |
208.23 |
| .33 |
157.14 |
188.56 |
170.23 |
204.27 |
183.33 |
219.99 |
| .35 |
166.66 |
199.99 |
180.55 |
216.66 |
194.44 |
233.32 |
| .375 |
178.57 |
214.28 |
193.45 |
232.14 |
208.33 |
249.99 |
| |
|
45,000 Tensile
Strength.
1-6, 7,500 |
50,000 Tensile
Strength.
1-6, 8,333.3 |
55,000 Tensile
Strength.
1-6, 9,166.6.
|
| 48 Inches. |
.21 |
65.62 |
78.74 |
72.91 |
87.49 |
80.2 |
96.24 |
| .23 |
71.87 |
86.24 |
79.85 |
95.82 |
87.84 |
105.4 |
| .25 |
78.12 |
93.74 |
86.8 |
104.16 |
95.48 |
114.57 |
| .26 |
81.25 |
97.50 |
90.27 |
108.32 |
99.3 |
119.16 |
| .29 |
90.62 |
108.74 |
100.69 |
120.82 |
110.76 |
132.91 |
| .3125 |
97.65 |
117.18 |
108.5 |
130.2 |
119.35 |
143.22 |
| .33 |
103.12 |
123.74 |
114.58 |
137.49 |
126.04 |
151.24 |
| .35 |
109.37 |
131.24 |
121.52 |
145.82 |
133.67 |
160.4 |
| .375 |
117.18 |
140.61 |
130.2 |
156.24 |
143.22 |
171.86 |
| |
|
60,000 Tensile
Strength.
1-6, 10,000 |
65,000 Tensile
Strength.
1-6, 10,833.3 |
70,000 Tensile
Strength.
1-6, 11,666.6 |
| |
.21 |
87.49 |
104.98 |
94.79 |
113.74 |
102.08 |
122.49 |
| .23 |
95.83 |
114.99 |
103.81 |
124.57 |
111.8 |
133.16 |
| .25 |
104.16 |
124.99 |
112.84 |
135.4 |
121.52 |
145.82 |
| .26 |
108.33 |
129.99 |
117.36 |
140.83 |
126.38 |
151.65 |
| .29 |
120.83 |
144.99 |
130.9 |
157.08 |
140.97 |
169.16 |
| .3125 |
130.21 |
156.25 |
141.05 |
169.26 |
151.9 |
182.28 |
| .33 |
137.5 |
165. |
148.95 |
178.74 |
160.41 |
192.49 |
| .35 |
145.83 |
174.99 |
157.98 |
189.57 |
170.13 |
204.14 |
| .375 |
156.25 |
187.50 |
169.27 |
203.12 |
182.29 |
218.74 |
| |
|
45,000 Tensile
Strength.
1-6, 7,500 |
50,000 Tensile
Strength.
1-6, 8,333.3 |
55,000 Tensile
Strength.
1-6, 9,166.6 |
| 54 Inches. |
.21 |
58.33 |
69.99 |
64.81 |
77.77 |
71.29 |
85.54 |
| .23 |
63.88 |
76.65 |
70.98 |
85.17 |
78.08 |
93.69 |
| .25 |
69.44 |
83.32 |
77.16 |
92.52 |
84.87 |
101.84 |
| .26 |
72.22 |
86.66 |
80.24 |
96.28 |
88.27 |
105.92 |
| .29 |
80.55 |
96.66 |
89.5 |
107.40 |
98.45 |
118.14 |
| .3125 |
86.8 |
104.16 |
96.44 |
115.72 |
106.09 |
127.30 |
| .33 |
91.66 |
109.99 |
101.84 |
122.22 |
112.03 |
134.43 |
| .35 |
97.22 |
116.66 |
108.02 |
129.62 |
118.82 |
142.58 |
| .375 |
104.16 |
124.99 |
115.74 |
138.88 |
127.31 |
152.77 |
| |
|
60,000 Tensile
Strength.
1-6, 10,000 |
65,000 Tensile
Strength.
1-6, 10,833.3 |
70,000 Tensile
Strength.
1-6, 11,666.6 |
| |
.21 |
77.77 |
93.32 |
84.25 |
101.1 |
90.74 |
108.88 |
| .23 |
85.18 |
102.21 |
92.28 |
110.73 |
99.38 |
119.25 |
| .25 |
92.59 |
111.10 |
100.3 |
120.36 |
108.02 |
129.62 |
| .26 |
96.29 |
115.54 |
104.31 |
125.17 |
112.44 |
134.8 |
| .29 |
107.41 |
128.88 |
116.35 |
139.62 |
125.3 |
150.36 |
| .3125 |
115.55 |
138.66 |
125.38 |
150.45 |
135.03 |
162.03 |
| .33 |
122.22 |
146.66 |
132.4 |
158.88 |
142.59 |
171.10 |
| .35 |
129.69 |
155.54 |
140.43 |
168.51 |
151.23 |
181.47 |
| .375 |
138.88 |
166.65 |
150.46 |
180.55 |
162.03 |
194.43 |
| |
|
45,000 Tensile
Strength.
1-6, 7,500 |
50,000 Tensile
Strength.
1-6, 8,333.3 |
55,000 Tensile
Strength.
1-6, 9,166.6 |
| 60 Inches. |
.21 |
52.5 |
63. |
58.33 |
69.99 |
64.16 |
76.99 |
| .23 |
57.5 |
69. |
63.88 |
76.65 |
70.27 |
84.32 |
| .25 |
62.5 |
75. |
69.44 |
83.32 |
76.38 |
91.65 |
| .26 |
65. |
78. |
72.22 |
86.66 |
79.44 |
95.32 |
| .29 |
72.5 |
87. |
80.55 |
96.66 |
88.61 |
106.33 |
| .3125 |
78.12 |
93.74 |
86.8 |
104.16 |
95.48 |
114.57 |
| .33 |
82.5 |
99. |
91.66 |
109.99 |
100.83 |
120.99 |
| .35 |
87.5 |
105. |
97.22 |
116.66 |
106.94 |
128.32 |
| .375 |
93.75 |
112.5 |
104.16 |
124.99 |
114.58 |
137.49 |
| |
|
60,000 Tensile
Strength.
1-6, 10,000 |
65,000 Tensile
Strength.
1-6, 10,833.3 |
70,000 Tensile
Strength.
1-6, 11,666.6 |
| |
.21 |
69.99 |
84. |
75.83 |
90.99 |
81.66 |
97.99 |
| .23 |
76.66 |
91.99 |
83.05 |
99.66 |
89.44 |
107.32 |
| .25 |
83.83 |
99.99 |
90.27 |
108.32 |
97.22 |
116.66 |
| .26 |
86.66 |
103.99 |
93.88 |
112.65 |
101.11 |
121.33 |
| .29 |
96.66 |
115.99 |
104.72 |
125.66 |
112.77 |
135.32 |
| .3125 |
104.18 |
124.99 |
112.95 |
135.54 |
121.52 |
145.82 |
| .33 |
109.99 |
132. |
119.16 |
142.99 |
128.33 |
153.99 |
| .35 |
116.66 |
139.99 |
126.38 |
151.65 |
136.11 |
163.33 |
| .375 |
125. |
150. |
135.41 |
162.49 |
145.88 |
174.99 |
| |
|
45,000 Tensile
Strength.
1-6, 7,500 |
50,000 Tensile
Strength.
1-6, 8,333.3 |
55,000 Tensile
Strength.
1-6, 9,166.6
|
| 66 Inches. |
.1875 |
42.61 |
51.13 |
47.34 |
56.8 |
52.07 |
62.49 |
| .21 |
42.72 |
57.26 |
53. |
63.63 |
58.33 |
69.99 |
| .23 |
52.27 |
62.72 |
58. |
69.69 |
63.88 |
76.65 |
| .25 |
56.81 |
68.17 |
63.13 |
75.75 |
69.44 |
83.32 |
| .26 |
59.09 |
70.9 |
65.65 |
78.78 |
72.22 |
86.66 |
| .29 |
65.90 |
79.08 |
73.23 |
87.87 |
80.55 |
96.66 |
| .3125 |
71. |
85.2 |
78.91 |
94.69 |
86.89 |
104.16 |
| .33 |
75. |
90. |
83.33 |
99.99 |
91.66 |
109.99 |
| .35 |
79.56 |
95.47 |
88.38 |
106.05 |
97.22 |
116.66 |
| .375 |
85.22 |
102.26 |
94.69 |
113.62 |
104.16 |
124.99 |
| |
|
60,000 Tensile
Strength.
1-6, 10,000 |
65,000 Tensile
Strength.
1-6, 10,833.3 |
70,000 Tensile
Strength.
1-6, 11,666.6 |
| |
.1875 |
56.81 |
68.17 |
61.55 |
73.86 |
66.28 |
79.53 |
| .21 |
63.63 |
76.35 |
68.93 |
82.71 |
74.24 |
89.08 |
| .23 |
69.69 |
83.62 |
75.5 |
90.6 |
81.31 |
97.57 |
| .25 |
75.75 |
90.90 |
82.07 |
98.48 |
88.37 |
106.04 |
| .26 |
78.78 |
94.53 |
85.35 |
102.42 |
91.91 |
110.29 |
| .29 |
87.87 |
105.44 |
95.2 |
114.24 |
102.52 |
123.02 |
| .3125 |
84.69 |
113.62 |
102.58 |
123.09 |
110.47 |
132.56 |
| .33 |
99.99 |
120. |
108.33 |
129.99 |
116.66 |
139.99 |
| .35 |
106. |
127.27 |
114.89 |
137.86 |
123.73 |
148.47 |
| .375 |
113.62 |
136.34 |
123.1 |
147.72 |
132.57 |
159.08 |
| |
|
45,000 Tensile
Strength.
1-6, 7,500 |
50,000 Tensile
Strength.
1-6, 8,333.3 |
55,000 Tensile
Strength.
1-6, 9,166.6 |
| 72 Inches. |
.1875 |
39.06 |
46.87 |
43.4 |
52.08 |
47.74 |
57.28 |
| .21 |
43.75 |
52.5 |
48.6 |
58.33 |
53.47 |
64.16 |
| .23 |
47.91 |
57.49 |
53.24 |
63.88 |
58.56 |
70.27 |
| .25 |
52.08 |
62.49 |
57.87 |
69.44 |
63.65 |
76.38 |
| .26 |
54.16 |
64.99 |
60.18 |
72.22 |
66.2 |
79.44 |
| .29 |
60.41 |
72.49 |
67.12 |
80.55 |
73.84 |
88.60 |
| .3125 |
65.10 |
78.12 |
72.33 |
86.8 |
79.57 |
95.48 |
| .33 |
68.75 |
82.5 |
76.38 |
91.62 |
84.02 |
100.82 |
| .35 |
72.91 |
87.49 |
81.01 |
97.21 |
89.11 |
106.93 |
| .375 |
78.12 |
93.74 |
86.8 |
104.16 |
95.48 |
114.57 |
| |
|
60,000 Tensile
Strength.
1-6, 10,000 |
65,000 Tensile
Strength.
1-6, 10,833.3 |
70,000 Tensile
Strength.
1-6, 11,666.6 |
| |
.1875 |
52.08 |
62.49 |
56.42 |
67.70 |
60.76 |
72.91 |
| .21 |
53.33 |
69.99 |
63.19 |
75.82 |
68.06 |
81.66 |
| .23 |
53.88 |
76.65 |
66.21 |
83.05 |
74.58 |
89.43 |
| .25 |
69.44 |
83.32 |
75.22 |
90.26 |
81.01 |
97.21 |
| .26 |
72.22 |
86.66 |
78.24 |
93.88 |
84.25 |
101.10 |
| .29 |
80.55 |
96.66 |
87.26 |
104.71 |
93.98 |
112.77 |
| .3125 |
86.8 |
104.16 |
94.03 |
112.88 |
101.27 |
121.52 |
| .33 |
91.66 |
109.99 |
99.3 |
119.16 |
106.94 |
128.32 |
| .35 |
97.22 |
116.66 |
105.32 |
126.38 |
113.42 |
136.1 |
| .375 |
104.16 |
124.99 |
112.84 |
135.43 |
121.52 |
145.32 |
DEFINITION OF TERMS.
In the accompanying sections, some of the properties of iron and
steel, as employed in the construction of boilers, are given. It is,
therefore, desirable that the meanings applied to the various terms
used should be clearly understood. The definitions necessary are, then,
briefly as follows:—
Tensile strength is equivalent to the amount of force which,
steadily and slowly applied in a line with the axis of the test piece,
just overcomes the cohesion of the particles, and pulls it into
separate parts.
Contraction of area is the amount by which the area, at the
point where the specimen has broken, is reduced below what it was
before any strain or pulling force was applied.
Elongation is the amount to which the specimen stretches,
between two fixed points, due to a steady and slowly applied force,
which pulls and separates it into parts. Elongation is made up of two
parts: one due to the general stretch, more or less, over the length;
the other, due to contraction of area at about the point of fracture.
Shearing strength is equivalent to the force which, if steadily
and slowly applied at right angles, or nearly so, to the line of axis
of the rivet, causes it to separate into parts, which slide over each
other, the planes of the surface at the point of separation being at
right angles, or nearly so, to the axis of the rivet.
Elastic limit is the point where the addition to the permanent
set produced by each equal increment of load or force, steadily and
slowly applied, ceases to be fairly uniform, and is suddenly, after the
point is reached, increased in amount. It is expressed as a percentage
of the tensile strength.
Tough.—The material is said to be “tough” when it can be bent
first in one direction, then in the other, without fracturing. The
greater the angles it bends through (coupled with the number of times
it bends), the tougher it is.
Ductile.—The material is “ductile” when it can be extended
by a pulling or tensile force and remain extended after the force is
removed. The greater the permanent extension, the more ductile the
material.
Elasticity is that quality in a material by which, after being
stretched or compressed by force, it apparently regains its original
dimensions when the force is removed.
Fatigued is a term applied to the material when it has lost in
some degree its power of resistance to fracture, due to the repeated
application of forces, more particularly when the forces or strains
have varied considerable in amount.
Malleable is a term applied to the material when it can be
extended by hammering, rolling, or otherwise, without fracturing, and
remains extended. The more it can be extended without being fractured,
the more malleable it is.
Weldable is a term applied to the material if it can be united,
when hot, by hammering or pressing together the heated parts. The
nearer the properties of the material, after being welded, are to what
they were before being heated and welded, the more weldable it is.
Cold-short is a name given to the material when it cannot be
worked under the hammer or by rolling, or be bent when cold without
cracking at the edges. Such a material may be worked or bent when at a
great heat, but not at any temperature which is lower than about that
assigned to dull red.
Hot-short is when the material cannot be easily worked under the
hammer, or by rolling at a red-heat at any temperature which is higher
than about that assigned to a red-heat, without fracturing or cracking.
Such a material may be worked or bent at a less heat.
Homogeneous describes a material which is all of the same
structure and nature.
A homogeneous material is the best for boilers, and it should be of
suitable tensile strength with contraction of area and elongation
best suited for the purpose, having an elastic limit that will insure
the structure being reliable; it should be tough and ductile, and its
elasticity fairly good, and be capable of enduring strains without
becoming too quickly or easily fatigued. The material should be
malleable and in some cases weldable; that which is of a decidedly
cold-short or hot-short nature should be avoided.
BOILER REPAIRS.