a) For the composite beam section in Figure Q6a, calculate the second moment of area about its centroidal x-x axis (Ixx centroid), where b₁ = 125.50 mm, b₂ = 25.75 mm, b3 = 36.35 mm, d, = 78.00 mm and d₂ = 24.00 mm Give your answer to 2 decimal places. b2 → d2 Load Į b1 Support b3 → b) Figure Q6b shows a simply supported 3.75 m long beam with a solid round cross- section and a concentrated point load of 250 KN acting at the mid-point of the beam. If the diameter of the beam cross-section is 165 mm, calculate the maximum tensile stress [Otensile_max] and the maximum compressive stress [Ocompressive_max] experienced by the beam. Use /xx = [¹/4] for the second moment of area of a round section beam about its x-x centroid axis. Assume that the weight of the beam is zero and that the beam section is solid and uniform along its entire length. Give your answer in N/mm² to 2 decimal places. d1 L

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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a) For the composite beam section in Figure Q6a, calculate the second moment of area
about its centroidal x-x axis (Ixx centroid), where b₁ = 125.50 mm, b₂ = 25.75 mm,
b3 = 36.35 mm, d₁ = 78.00 mm and d₂ = 24.00 mm Give your answer to 2 decimal
places.
b2 →→
d2
Load
Į
b1
Support
b3
b) Figure Q6b shows a simply supported 3.75 m long beam with a solid round cross-
section and a concentrated point load of 250 kN acting at the mid-point of the beam.
If the diameter of the beam cross-section is 165 mm, calculate the maximum tensile
stress [Otensile_max] and the maximum compressive stress [Ocompressive_max] experienced
by the beam. Use lxx = [¹/4] for the second moment of area of a round section beam
about its x-x centroid axis. Assume that the weight of the beam is zero and that the
beam section is solid and uniform along its entire length. Give your answer in N/mm²
to 2 decimal places.
d1
A
B
Transcribed Image Text:a) For the composite beam section in Figure Q6a, calculate the second moment of area about its centroidal x-x axis (Ixx centroid), where b₁ = 125.50 mm, b₂ = 25.75 mm, b3 = 36.35 mm, d₁ = 78.00 mm and d₂ = 24.00 mm Give your answer to 2 decimal places. b2 →→ d2 Load Į b1 Support b3 b) Figure Q6b shows a simply supported 3.75 m long beam with a solid round cross- section and a concentrated point load of 250 kN acting at the mid-point of the beam. If the diameter of the beam cross-section is 165 mm, calculate the maximum tensile stress [Otensile_max] and the maximum compressive stress [Ocompressive_max] experienced by the beam. Use lxx = [¹/4] for the second moment of area of a round section beam about its x-x centroid axis. Assume that the weight of the beam is zero and that the beam section is solid and uniform along its entire length. Give your answer in N/mm² to 2 decimal places. d1 A B
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