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The cut next to the root was always found to be theheaviest, stiffest, and strongest; and from this invariablecoincidence of weight and strength, M. De Buffon recom-mends, as an unerring rule, to make choice of timber by itsweight. He finds, that this was always the case when tim-ber had grown vigorously, forming thick annual layers ; butobserves, that this is only during the advances of the tree tomaturity; for the strength of the different circles approachesgradually to an equality, during the healthy growth ofthe tree.

M. De Buffon also made experiments on other sizes oftimber of a square section. The medium of two pieces ofthe same length and section were taken; and the followingTable exhibits the results of those mediums. The lengthsare contained in the vertical column on the left hand, andthe dimensions of the section, or scantling, are expressed atthe top, in inches.

The experiments on the five-inch bars were considered, byM. De Buffon, as a standard, he having both extended theirnumber, and tried other pieces of the same length. He found,after repeated trials, that oak timber lost much of its strengthin seasoning, to secure uniformity; and therefore, he causedit all to be felled at the same time of the year, squared theday after, and tried on the third day ; which gave him anopportunity of observing a very curious phenomenon. Forwhen the weights were laid quickly, and were nearly uponthe point of breaking, a sensible smoke was observed toissue from the ends with a sharp hissing noise, whichcontinued while the beam was bending. This evidentlyshows, that it must have been compressed throughout itswhole length.

tie fi r9 “

preceding ; the lengths being contained in th a tvertical column, and the dimensions of the s eCtIthe top.

Table IV.

L.

4 In. sq.

5 In. sq.

6 In. sq.

7 In. sq.

8 In. sq-

7

28.777

44.965

64.750

88.131

115.11!

8

32.888

51.388

74.000

100.722

131.555

9

37.000

57.812

83.250

113.312

148.000

10

41.111

64.236

92.500

125.902

164.444

12

49.333

77.083

111.000

151.083

197.333

14

89.930

129.500

176.263

230.222

16

102.777

148.000

201.444

263.111

18

115.625

166.500

226.625

296.000

20

128.472

185.000

251.805

328 888

22

141.269

_

24

154.166

_

28

179.861

The numbers in the above Table, added to the P re0give the following, omitting the decimals.

difl&>

Table III.

L.

4 In.sq.

5 In.sq.

6In.sq.

7 In.sq.

8In.sq.

L.

4 In.sq.

5 In.sq

6 In.sq.

7 In sq.

7

5812

11525

18950

32200

47649

7

5340

11570

19014

32288

8

4550

9787 J

15525

26050

39750

8

4582

9838

15599

26150

9

4025

8308J

13150

22350

32800

9

4062

8365

13233

22463

10

3612

7125

11250

19475

27750

10

3653

7189

11342

19600

12

2987£

6075

9100

16175

23450

12

3036

6152

9211

16326

14

5300

7475

13225

19775

14

5389

7604

13401

16

4350

63624

11000

16375

16

4452

6510

11201

18

3700

5562J

9245

13200

18

3815

5728

9471

20

3225

4950

8375

114874

20

3353

5135

8626

22

2975

22

3116

24

2162J

24

2316

28

1775

28

1954

--

In the above Table, the weight of the beams is nottaken into the account ; therefore, to make a just comparisonwith the theory, it will be necessary to add half the weightof each beam to itself. The half-weights will be found inthe following Table, in the same manner as in the

Table V.

8 In.sq.

47764

39881

32948

27914

23647

20006

16638

13496

11815

to the Sve'rf.f! 1 ' 6 in the above Table, cerr^gg

may be calculated e >" gths , a . s a standard, the frllo#

in the recinroml ’ !-^ m f kw S the succeeding weigreciprocal ratio of their lengths.