Problem 5.15

 

Same as 5.11 except loaded about minor axis

5-1/8 x 28.5 24F-1.8E Douglas Fir, 32' span, D+S, uniform load over simple span, supported against buckling

 

 

Cross Section

 

centroid = 2.5625 in.

Ix = bh3/12 = 28.5 x 5.1253 / 12 = 319.7 in.4

Sx = I / centroid = 124.8 in.3

 

 

Adjusted Design Values

 

NDS Supplement table 5A

CV = 1 (not loaded ⊥ to wide faces of lams)

Cfu = 1.10

CM = 1

NDS section 2.3

CD = 1.15 (S)

Ct = 1

NDS section 3.3

CL = 1 (supported against buckling)

NDS section 3.7

CP = 1 (not a column)

NDS section 3.10.4

Cb = 1 (not enough info)

NDS section 5.3

Cc = 1 (not curved)

 

Property Reference Design
Values (psi)
(Table 5A)
Adjustment Factors (Table 5.3.1) Adjusted Design
Values (psi)
CD CM Ct CL CV Cfu Cc CP Cb
bending stress Fby  1450  1.15 1 1 1 1 1.10 1     1834
tension stress parallel to grain Ft 1100  1.15 1 1             1265
shear stress parallel to grain Fvy 230  1.15 1 1             265
compression stress perpendicular to grain Fc⊥y 560   1 1           1 560
compression stress parallel to grain Fc 1600  1.15 1 1         1   1840
radial tension Frt --  1.15 1 1             --
modulus of elasticity (or MOE) Ey 1,600,000   1 1             1,600,000
modulus of elasticity for stability calculations Ey min 830,000   1 1             830,000

 

 

Adjusted Design Values for MC > 16%

 

NDS Supplement table 5A

CM = 0.8 for Fb and Ft, 0.875 for Fv, 0.53 for Fc, 0.73 for Fc, 0.833 for E and Emin

 

Property Reference Design
Values (psi)
(Table 5A)
Adjustment Factors (Table 5.3.1) Adjusted Design
Values (psi)
CD CM Ct CL CV Cfu Cc CP Cb
bending stress Fbx 1450  1.15 0.8 1 1 1 1.10 1     1467
tension stress parallel to grain Ft  1100  1.15 0.8 1             1012
shear stress parallel to grain Fvx  230  1.15 0.875 1             231
compression stress perpendicular to grain Fc⊥x  560   0.53 1           1 297
compression stress parallel to grain Fc  1600  1.15 0.73 1         1   1343
radial tension Frt  --  1.15 1 1             --
modulus of elasticity (or MOE) Ex  1,600,000   0.833 1             1,330,000
modulus of elasticity for stability calculations Ex min  830,000   0.833 1             690,000