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Q2 An I-section is made up of three rectangles as shown in Figure Q2. Find the moment of inertia of the section about the horizontal axis passing through the centre of gravity of the section. (25 Marks) MEC_AMO_TEM_035_04 Page 2 of 14 Mechanical Design (MECH 0026) - Spring 2023 - CW1 (Assignment) - Session A - QP 60 mm 20 mm 100 mm 20 mm 20 mm 100 mm Figure Q2

          Q2
An I-section is made up of three rectangles as shown in Figure Q2. Find the moment of inertia of the
section about the horizontal axis passing through the centre of gravity of the section. (25 Marks)
MEC_AMO_TEM_035_04
Page 2 of 14
Mechanical Design (MECH 0026) - Spring 2023 - CW1 (Assignment) - Session A - QP
60 mm
20 mm
100 mm
20 mm
20 mm
100 mm
Figure Q2
        
Show more…
Q2
An I-section is made up of three rectangles as shown in Figure Q2. Find the moment of inertia of the
section about the horizontal axis passing through the centre of gravity of the section. (25 Marks)
MECAMOTEM03504
Page 2 of 14
Mechanical Design (MECH 0026) - Spring 2023 - CW1 (Assignment) - Session A - QP
60 mm
20 mm
100 mm
20 mm
20 mm
100 mm
Figure Q2

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Hugh D. Young 14th Edition
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An I-section is made up of three rectangles as shown in Figure Q2. Find the moment of inertia of the section about the horizontal axis passing through the center of gravity of the section (25 Marks). MEC_AMO_TEM_035_04 Page 2f14 K-w09 20 mm A 100 mm -20 mm 20 mm 100 mm Figure Q2
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00:01 In this question given area a1 is equals to 60 into 20 which is equals to 1200 mm square a2 is equals to 20 into 100 which is 2000 mm square a3 is equals to 100 into 20 which is equals to 2000 mm square and y1 is equals to 120 plus 20 by 2 which is equals to 130 mm y2 is equals to 20 plus 100 by 2 which is equals to 70 mm and the value of y3 is equals to 20 by 2 which is 10 mm now the center of gravity about at y -axis center of gravity about y -axis can be given by y dash is equals to a1 y1 plus a2 y2 plus a3 y3 divided by a1 plus a2 plus a3 so the value of y dash is equals to 1200 into 130 plus 2000 into 70 plus 2000 into 10 divided by 1200 plus 2000 plus 2000 so the value of center of gravity about y -axis is 60 .77 millimeter now symmetry about x -axis the centroid of this section about x -axis will be symmetric side so x dash is equals to 100 by 2 which is equals to 50 mm so the center of gravity center of gravity x dash comma y dash is equals to 50 comma 60 .77 now moment of inertia of this axis about the horizontal…
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