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 Support Figure Q6 a) Determine the centroid coordinates (&,9) for the beam section shown in Figure Q6. 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 mm'to two decimal places. c) Calculate the maximum tensile stress (Onsie ma] and the maximum compressive stress (dcomgresse_n] 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 Nimm2 to 2 decimal places.
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 Support Figure Q6 a) Determine the centroid coordinates (&,9) for the beam section shown in Figure Q6. 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 mm'to two decimal places. c) Calculate the maximum tensile stress (Onsie ma] and the maximum compressive stress (dcomgresse_n] 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 Nimm2 to 2 decimal places.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![Question 6
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
Support
Figure Q6
a) Determine the centroid coordinates (R.9) for the beam section shown in Figure Q6.
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 mmʻto two decimal places.
c) Calculate the maximum tensile stress (Owsie ma] and the maximum compressive
stress (acompressive mn) 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 Nimm' to 2 decimal places.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0de4fc17-e32f-491d-877f-6ad021dac8c8%2Faa71888f-5872-4baa-9a9b-cf443dad6ed0%2Fucabueh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Question 6
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
Support
Figure Q6
a) Determine the centroid coordinates (R.9) for the beam section shown in Figure Q6.
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 mmʻto two decimal places.
c) Calculate the maximum tensile stress (Owsie ma] and the maximum compressive
stress (acompressive mn) 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 Nimm' to 2 decimal places.
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