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.
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2.
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)dx 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.
3m
la
I
x=2 m 커
a
300 kN/m
1.5 m
B
50 mm
E
250 mm
150 mm
25 mm
150 mm
25 mm
IA
Transcribed Image Text:2. 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)dx 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. 3m la I x=2 m 커 a 300 kN/m 1.5 m B 50 mm E 250 mm 150 mm 25 mm 150 mm 25 mm IA
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