b) A simply supported beam has a rectangular cross-section with a second moment of area (I) of 11.50 x 106 mm² about its centroidal x-axis passing through (d/2). If the depth (d) of the cross-section is 180 mm, determine the breadth dimension (b) of the beam section; and calculate the maximum bending stress (σmax) about the centroidal x-axis when the beam is subjected to a bending moment of 25,000 Nm. Give the dimension b in millimetres (mm) and σ max in N/mm² both to 2 decimal places. Assume the section is solid where the material is homogeneous and of uniform thickness. [10 marks]
b) A simply supported beam has a rectangular cross-section with a second moment of area (I) of 11.50 x 106 mm² about its centroidal x-axis passing through (d/2). If the depth (d) of the cross-section is 180 mm, determine the breadth dimension (b) of the beam section; and calculate the maximum bending stress (σmax) about the centroidal x-axis when the beam is subjected to a bending moment of 25,000 Nm. Give the dimension b in millimetres (mm) and σ max in N/mm² both to 2 decimal places. Assume the section is solid where the material is homogeneous and of uniform thickness. [10 marks]
International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter9: Moments And Products Of Inertia Of Areas
Section: Chapter Questions
Problem 9.16P: Figure (a) shows the cross-sectional dimensions for the structural steel section known as C1020...
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![b) A simply supported beam has a rectangular cross-section with a second moment
of area (I) of 11.50 x 106 mm² about its centroidal x-axis passing through (d/2). If
the depth (d) of the cross-section is 180 mm, determine the breadth dimension (b)
of the beam section; and calculate the maximum bending stress (σmax) about the
centroidal x-axis when the beam is subjected to a bending moment of 25,000 Nm.
Give the dimension b in millimetres (mm) and σ max in N/mm² both to 2 decimal
places. Assume the section is solid where the material is homogeneous and of
uniform thickness.
[10 marks]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fff7d6b45-4f61-46c6-8aba-0dc1374a8217%2F2241e57c-4e2e-4960-a97c-14d0727b7b68%2Fvwgeu1_processed.png&w=3840&q=75)
Transcribed Image Text:b) A simply supported beam has a rectangular cross-section with a second moment
of area (I) of 11.50 x 106 mm² about its centroidal x-axis passing through (d/2). If
the depth (d) of the cross-section is 180 mm, determine the breadth dimension (b)
of the beam section; and calculate the maximum bending stress (σmax) about the
centroidal x-axis when the beam is subjected to a bending moment of 25,000 Nm.
Give the dimension b in millimetres (mm) and σ max in N/mm² both to 2 decimal
places. Assume the section is solid where the material is homogeneous and of
uniform thickness.
[10 marks]
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