21. Pegged mortise and tenon joints have been used to build wooden structures fo

Question

21. Pegged mortise and tenon joints have been used to build wooden structures for centuries. Since the mid-1960s, there has been renewed imterest in this method of timber connection because of ils inherent strength compared with other methods of connection. In a recent study of the bearing strength of white oak dowels, a random sample of white oak boards was used to create several pegs, from which a random ("Characterization of Bearing Strength Factors n sample of pegs was drawn in Pegged Timber Connections," I of Structural ngr, 1997: 326-332). To detemine whether the bearing strength of a peg is affected by the di- rection with which forces are applied to the peg, three different peg orientations were used in the study: 0°, 45°, and 90. The pegs were randomly assigned to one of the three orientations, and a stress measurement (in MPa) was recorded for each peg

Explanation / Answer

Looking at the p-values we can conclude that the practice of using wooden pegs in timber connections is unfavourable

Anova: Two-Factor Without Replication SUMMARY Count Sum Average Variance 1 3 59 19.66666667 4.723333333 2 3 56.9 18.96666667 2.943333333 3 3 65.1 21.7 28.12 4 3 56.4 18.8 1.69 5 3 53.5 17.83333333 1.703333333 6 3 66.7 22.23333333 0.043333333 7 3 64.6 21.53333333 3.503333333 8 3 58.3 19.43333333 1.123333333 0 8 151.4 18.925 5.707857143 45 8 157.8 19.725 2.799285714 90 8 171.3 21.4125 7.989821429 ANOVA Source of Variation SS df MS F P-value F crit Rows 53.57958333 7 7.65422619 1.731189165 0.180930722 2.764199257 Columns 25.80083333 2 12.90041667 2.917742565 0.087256233 3.738891832 Error 61.89916667 14 4.421369048 Total 141.2795833 23

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