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 I-section with the properties below, calculate the maximum bending stress and the maximum flexural shear stress. Beam Properties: W220X26.6 L1 VB Vc w = 26.6 kg/m³ tw = 5.84 mm rx = 87.1 mm Zy76.4 x 103³ mm³ A = 3390 mm² tf = 8.38 mm lx 25.8 x 106 mm² Sy d = 207 mm bf = 133 mm k = 16 mm Zx 279 x 103 mm³ ly 49.8 x 103 mm³ 3.32 x 106 mm² Sx 249 x 103 mm³ ho 198 mm VE VD L₂ ry = 31.2 mm J = 71.6 x 103 mm Cw=32.8 x 109 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 I-section with the properties below, calculate the maximum bending stress and the maximum flexural shear stress. Beam Properties: W220X26.6 L1 VB Vc w = 26.6 kg/m³ tw = 5.84 mm rx = 87.1 mm Zy76.4 x 103³ mm³ A = 3390 mm² tf = 8.38 mm lx 25.8 x 106 mm² Sy d = 207 mm bf = 133 mm k = 16 mm Zx 279 x 103 mm³ ly 49.8 x 103 mm³ 3.32 x 106 mm² Sx 249 x 103 mm³ ho 198 mm VE VD L₂ ry = 31.2 mm J = 71.6 x 103 mm Cw=32.8 x 109 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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