PROBLEM 7: The shear diagram due to distributed load of a beam is given in the figure. The reactions at columns C1 and C2 are uniformly distributed loads. Given: L₁ = 2.6 m; L₂ = 5.8 m; L3 = 3.6 m; C₁ = 0.4 m; C₂ = 0.42 m VB = 43.68 KN; Vc = 39.77 KN; VD = 57.67 KN; VE = 60.48 KN (a) Calculate the loads on the beam and the reactions on the columns and illustrate the load diagram. (b) Draw the moment diagram and identify the maximum positive and bending moments. (c) If the beam is an l-section with the properties below, calculate the maximum bending stress and the maximum flexural shear stress. Beam Properties: W220X26.6 VB w = 26.6 kg/m³ A = 3390 mm² d = 207 mm bf = 133 mm Vc VE VD L1 C₁ L₂ C₂ L3 tw = 5.84 mm rx 87.1 mm Zy 76.4 x 103 mm³ tf = 8.38 mm k = 16 mm lx = 25.8 x 10 mm² Zx 279 x 103 mm³ Sx=249 x 103 mm³ Sy 49.8 x 103 mm³ ly 3.32 x 106 mm² ho 198 mm ry = 31.2 mm J = 71.6 x 103 mm² Cw=32.8 x 10° mm6 rts = 36.3 mm

PROBLEM 7: The shear diagram due to distributed load of a beam is given in the figure. The reactions at columns C1 and C2 are uniformly distributed loads. Given: L₁ = 2.6 m; L₂ = 5.8 m; L3 = 3.6 m; C₁ = 0.4 m; C₂ = 0.42 m VB = 43.68 KN; Vc = 39.77 KN; VD = 57.67 KN; VE = 60.48 KN (a) Calculate the loads on the beam and the reactions on the columns and illustrate the load diagram. (b) Draw the moment diagram and identify the maximum positive and bending moments. (c) If the beam is an l-section with the properties below, calculate the maximum bending stress and the maximum flexural shear stress. Beam Properties: W220X26.6 VB w = 26.6 kg/m³ A = 3390 mm² d = 207 mm bf = 133 mm Vc VE VD L1 C₁ L₂ C₂ L3 tw = 5.84 mm rx 87.1 mm Zy 76.4 x 103 mm³ tf = 8.38 mm k = 16 mm lx = 25.8 x 10 mm² Zx 279 x 103 mm³ Sx=249 x 103 mm³ Sy 49.8 x 103 mm³ ly 3.32 x 106 mm² ho 198 mm ry = 31.2 mm J = 71.6 x 103 mm² Cw=32.8 x 10° mm6 rts = 36.3 mm

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter6: Stresses In Beams (advanced Topics)

Section: Chapter Questions

Problem 6.2.17P: Repeat Problem 6.2-1 but now assume that the steel plate is smaller (0.5 in. × 5 in.) and is aligned...

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