A beam is loaded as shown below. The vertical support reactions at points A and B are 300 kN and 375 kN respectively. The beam cross section is given with y = 0.207 m (centroid) and INA = 2.22 x 104 m² (moment of inertia about its neutral axis). Using all this information, a) Draw the internal shear and moment diagrams for the beam. b) Determine the shear stress at section a-a, right above and below point E. Section a-a is positioned at 2 m along the beam and point E is shown on the cross section Hint: Find V(x=2m) from your shear diagram. AV=- w(x)ax Consider 0 ≤ x ≤ 3m. c) Determine the maximum tensile and compressive bending stresses in the beam. Hint: Find Mmax from your bending diagram. AM = V(x)dx Consider 0 ≤ x ≤ 3m. 300 kN/m diffing x=2 m- a 1.5 m- B 50 mm E 250 mm 150 mm 25 mm 150 mm 25 mm

A beam is loaded as shown below. The vertical support reactions at points A and B are 300 kN and 375 kN respectively. The beam cross section is given with y = 0.207 m (centroid) and INA = 2.22 x 104 m² (moment of inertia about its neutral axis). Using all this information, a) Draw the internal shear and moment diagrams for the beam. b) Determine the shear stress at section a-a, right above and below point E. Section a-a is positioned at 2 m along the beam and point E is shown on the cross section Hint: Find V(x=2m) from your shear diagram. AV=- w(x)ax Consider 0 ≤ x ≤ 3m. c) Determine the maximum tensile and compressive bending stresses in the beam. Hint: Find Mmax from your bending diagram. AM = V(x)dx Consider 0 ≤ x ≤ 3m. 300 kN/m diffing x=2 m- a 1.5 m- B 50 mm E 250 mm 150 mm 25 mm 150 mm 25 mm

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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