The article "T-Bracing for Stability of Compression Webs in Wood Trusses" (R. Leichti, I. Hofaker, et al., Journal of Structural Engineering, 2002:374-381) presents results of experiments in which critical buckling loads (in kN) for T-braced assemblies were estimated by a finite-element method. The following table presents data in which the factors are the length of the side member and its method of attachment. There were 10 replications for each combination of factors. The data are consistent with the means and standard deviations given in the article. Attachment Length Critical Buckling Load Quarter 7.90 8.71 7.72 8.88 8.55 6.95 7.07 7.59 7.77 7.8 Adhesive Adhesive Half 14.07 13.82 14.77 13.39 11.98 12.72 9.48 13.59 13.09 12.0 Adhesive Full 26.80 28.57 24.82 23.51 27.57 25.96 24.28 25.68 21.64 28.1 Nail Quarter 6.92 5.38 5.38 5.89 6.07 6.37 7.14 6.71 4.36 6.7 Half Nail 9.67 9.17 10.39 10.90 10.06 9.86 10.41 10.24 9.31 11.9 Nail Full 20.63 21.15 24.75 20.76 21.64 21.47 25.25 22.52 20.45 20.3 Compute all main effects and interactions. b. Construct an ANOVA table. You may give ranges for the P-values. Is the additive model plausible? Provide the value of a test statistic and the P-value. a. C. d. Can the effect of attachment method (nail versus adhesive) on the critical buckling load be described by interpreting the main effects of attachment method? If so, interpret the main effects. If not, explain why not. Can the effect of side member length on the critical buckling load be described by interpreting the main effects of side member length? If so, interpret the main effects, using multiple comparisons at the 5% level if necessary. If not, explain why not. e.
The article "T-Bracing for Stability of Compression Webs in Wood Trusses" (R. Leichti, I. Hofaker, et al., Journal of Structural Engineering, 2002:374-381) presents results of experiments in which critical buckling loads (in kN) for T-braced assemblies were estimated by a finite-element method. The following table presents data in which the factors are the length of the side member and its method of attachment. There were 10 replications for each combination of factors. The data are consistent with the means and standard deviations given in the article. Attachment Length Critical Buckling Load Quarter 7.90 8.71 7.72 8.88 8.55 6.95 7.07 7.59 7.77 7.8 Adhesive Adhesive Half 14.07 13.82 14.77 13.39 11.98 12.72 9.48 13.59 13.09 12.0 Adhesive Full 26.80 28.57 24.82 23.51 27.57 25.96 24.28 25.68 21.64 28.1 Nail Quarter 6.92 5.38 5.38 5.89 6.07 6.37 7.14 6.71 4.36 6.7 Half Nail 9.67 9.17 10.39 10.90 10.06 9.86 10.41 10.24 9.31 11.9 Nail Full 20.63 21.15 24.75 20.76 21.64 21.47 25.25 22.52 20.45 20.3 Compute all main effects and interactions. b. Construct an ANOVA table. You may give ranges for the P-values. Is the additive model plausible? Provide the value of a test statistic and the P-value. a. C. d. Can the effect of attachment method (nail versus adhesive) on the critical buckling load be described by interpreting the main effects of attachment method? If so, interpret the main effects. If not, explain why not. Can the effect of side member length on the critical buckling load be described by interpreting the main effects of side member length? If so, interpret the main effects, using multiple comparisons at the 5% level if necessary. If not, explain why not. e.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:The article "T-Bracing for Stability of Compression Webs in Wood Trusses" (R. Leichti, I.
Hofaker, et al., Journal of Structural Engineering, 2002:374-381) presents results of
experiments in which critical buckling loads (in kN) for T-braced assemblies were
estimated by a finite-element method. The following table presents data in which the factors
are the length of the side member and its method of attachment. There were 10 replications
for each combination of factors. The data are consistent with the means and standard
deviations given in the article.
Attachment Length
Critical Buckling Load
Quarter 7.90 8.71 7.72 8.88 8.55 6.95 7.07 7.59 7.77 7.8
Adhesive
Adhesive
Half
14.07 13.82 14.77 13.39 11.98 12.72 9.48 13.59 13.09 12.0
Adhesive
Full
26.80 28.57 24.82 23.51 27.57 25.96 24.28 25.68 21.64 28.1
Nail
Quarter 6.92 5.38 5.38 5.89 6.07 6.37 7.14 6.71 4.36 6.7
Half
Nail
9.67 9.17 10.39 10.90 10.06 9.86 10.41 10.24 9.31 11.9
Nail
Full
20.63 21.15 24.75 20.76 21.64 21.47 25.25 22.52 20.45 20.3
Compute all main effects and interactions.
b. Construct an ANOVA table. You may give ranges for the P-values.
Is the additive model plausible? Provide the value of a test statistic and the P-value.
a.
C.
d.
Can the effect of attachment method (nail versus adhesive) on the critical buckling
load be described by interpreting the main effects of attachment method? If so,
interpret the main effects. If not, explain why not.
Can the effect of side member length on the critical buckling load be described by
interpreting the main effects of side member length? If so, interpret the main effects,
using multiple comparisons at the 5% level if necessary. If not, explain why not.
e.
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