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]

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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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]
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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