DESIGN OF PURLINSTRUSS 180% STRESS GRADE OF YAKALFb(ALLOWALBLE) = 24.5 MPaFv(ALLOWABLE) = 2.49 MPaE = 9.78 x 103 MPaRelative Density = 0.76 Unit Weight = (0.76)(9.81 )= 7.4556 Length of Truss 1 = 11 mHeight of Truss = 1 mLength of Purlins = 6.5 mSpacing of purlins = 0.6 mAllowable deflection = Allowable deflection = 18.05555556 mmRoof Material Deck Metal 18 gage = 0.14 kPaAssume b and db = 150 mm and d = 200 mmtan = = tan-1( = 10.30484647Horizontal spacing of each purlin = (spacing of purlins)(cos) =(0.6)(cos10.30484647)Horizontal spacing of each purlin = 0.590321946 m

Weight of Roof in = (Horizontal spacing of each purlin)(Weight of Roof in kPa) Weight of Roof in = (0.590321946 m)(0.14 kPa) Weight of Roof in = 0.082645072 Weight of Wind in = (Spacing of purlins)(Weight of Wind in kPa)Weight of Wind in = (0.6m)(0.10445kPa)Weight of Wind in = 0.06267 Weight of Purlin in = (Unit Weight)()()Weight of Purlin in = (7.4556 )()()Weight of Purlin in = 0.223668 Wx = (Weight of Wind in +( Weight of Roof in + Weight of Purlin in cosWx = (0.06267 )+( 0.082645072 + 0.223668 )(cos10.30484647)Wx = 0.364042215 Wy = (Weight of Roof in + Weight of Purlin in sinWy = (0.082645072 + 0.223668 )(sin10.30484647)Wy = 0.054794948 Check for Bending:Mx = = Mx = 1.922597948 kN-mMy = = My = 0.2893858191 kN-m

Fbx(ACTUAL) = Fbx(ACTUAL) = Fbx(ACTUAL) = 1.922597948 MPa < Fb(ALLOWABLE)Fbx(ACTUAL) = 1.922597948 MPa < 24.5 MPa

Fby(ACTUAL) = Fby(ACTUAL) = Fby(ACTUAL) = 0.38584776 MPa < Fb(ALLOWABLE)Fby(ACTUAL) = 0.38584776 MPa < 24.5 MPa

Fb(ACTUAL) = Fbx(ACTUAL) + Fby(ACTUAL)Fb(ACTUAL) = 1.922597948 + 0.38584776 Fb(ACTUAL) = 2.308445708 MPa < Fb(ALLOWABLE)Fb(ACTUAL) = 2.308445708 MPa < 24.5 MPa

Check for Shearing:Vx = = Vx = 1.183137199 kNVy = = Vy = 0.178083582 kNFvx(ACTUAL) = Fvx(ACTUAL) = Fvx(ACTUAL) = 0.05915686 MPa < Fv(ALLOWABLE)Fvx(ACTUAL) = 0.05915686 MPa < 2.49 MPa

Fvy(ACTUAL) = Fvy(ACTUAL) = Fvy(ACTUAL) = 0.008904179 MPa < Fv(ALLOWABLE)Fvy(ACTUAL) = 0.008904179 MPa < 2.49 MPa

Fv(ACTUAL) = Fv(ACTUAL) = 0.05915686 + 0.008904179Fv(ACTUAL) =