In Figure Q6, a simply supported 3.50 m long beam (L) has a concentrated point load (F) of 150 kN acting at the mid-point of the beam. The beam has a solid and homogeneous L-shaped cross-section with the following dimensions: h = 125 mm, t = 15 mm and w = 90 mm Load F h Support Figure Q6 Determine the centroid coordinates (X , ỹ) for the beam section shown in Figure Q6. a) Give your answer relative to the origin (0) in millimetres (mm) and to two decimal places. b) Calculate the second moment of area about its centroidal x-axis for the L-shaped section shown in Figure Q6. Assume the beam section is the solid and homogeneous. Give your answer in mm4 to two decimal places. c) stress [Ocompressive_max] for the beam in Figure Q6. *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/mm? to 2 decimal places. Calculate the maximum tensile stress [Otensile_max] and the maximum compressive

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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In Figure Q6, a simply supported 3.50 m long beam (L) has a concentrated point load (F)
of 150 kN acting at the mid-point of the beam. The beam has a solid and homogeneous
L-shaped cross-section with the following dimensions:
h = 125 mm, t = 15 mm and w = 90 mm
Load
F
A
Support
Figure Q6
a)
Determine the centroid coordinates (X , ỹ) for the beam section shown in Figure Q6.
Give your answer relative to the origin (0) in millimetres (mm) and to two
decimal places.
Calculate the second moment of area about its centroidal x-axis for the L-shaped
b)
section shown in Figure Q6. Assume the beam section is the solid and
homogeneous. Give your answer in mm4 to two decimal places.
c)
stress [Ocompressive_max] for the beam in Figure Q6. *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/mm? to 2 decimal places.
Calculate the maximum tensile stress [Otensile_max] and the maximum compressive
Transcribed Image Text:In Figure Q6, a simply supported 3.50 m long beam (L) has a concentrated point load (F) of 150 kN acting at the mid-point of the beam. The beam has a solid and homogeneous L-shaped cross-section with the following dimensions: h = 125 mm, t = 15 mm and w = 90 mm Load F A Support Figure Q6 a) Determine the centroid coordinates (X , ỹ) for the beam section shown in Figure Q6. Give your answer relative to the origin (0) in millimetres (mm) and to two decimal places. Calculate the second moment of area about its centroidal x-axis for the L-shaped b) section shown in Figure Q6. Assume the beam section is the solid and homogeneous. Give your answer in mm4 to two decimal places. c) stress [Ocompressive_max] for the beam in Figure Q6. *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/mm? to 2 decimal places. Calculate the maximum tensile stress [Otensile_max] and the maximum compressive
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