Find the deflection at the free-end of the following Cantilever beam. The beam has a standard...

 

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Find the deflection at the free-end of the following Cantilever beam. The beam has a standard AISC W12X30 section with the properties listed below (in SI unit). E = 2×108 kN/m² G= E 2(1+2) H = 1xx = 1X 104 m4. Iyy = 8.33x10-6 m4 Gross sectional area (A) = 5.67×103 m² Area of web (Ae) = 2 × 103 m² (= area effective in shear) Depth of section (d) = 0.313m Poisson's ratio (2) = 0.3 You need to determine the following: A (a) SB (bending deformation) (b) dB (thear deformation). (c) dB (total) = 6B (bending) + SB (shear) For I-section, L=1.0 ·Ae = Aweb 20 kN 10 kN/m B L Consider the following three different cates: (a) L = = 4m (b) L=0.5m →Slender beam. Deep beam c) L = 0.2m → Deep beam Use the Unit Load Method for the entere problem. Find the deflection at the free-end of the following Cantilever beam. The beam has a standard AISC W12X30 section with the properties listed below (in SI unit). E = 2×108 kN/m² G= E 2(1+2) H = 1xx = 1X 104 m4. Iyy = 8.33x10-6 m4 Gross sectional area (A) = 5.67×103 m² Area of web (Ae) = 2 × 103 m² (= area effective in shear) Depth of section (d) = 0.313m Poisson's ratio (2) = 0.3 You need to determine the following: A (a) SB (bending deformation) (b) dB (thear deformation). (c) dB (total) = 6B (bending) + SB (shear) For I-section, L=1.0 ·Ae = Aweb 20 kN 10 kN/m B L Consider the following three different cates: (a) L = = 4m (b) L=0.5m →Slender beam. Deep beam c) L = 0.2m → Deep beam Use the Unit Load Method for the entere problem.

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Using the Unit Load Method we will compute the bending deformation theoretical deformation and total ... View the full answer