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Strength Of Materials Miscellaneous

Strength Of Materials

  1. The figure shows cross-section of a beam subjected to bending. The area moment of inertia (in mm4) of this cross-section about its base is
    1. 21439.06 mm4
    2. 11439.06 mm4
    3. 31439.06 mm4
    4. 21439 mm4
Correct Option: A

I base =I rect abt base -2I semicircle abt base
I =((IC.G +AY2) -2(IC.G +AY2)

=
bd3
+ (bd)y2- 2
π
d2
+
1
× πr2y2
1264(2)2

=
10 × 203
+ 10 × 20 × 102- 2
π
×
84
+
1
× π× 42 × 102
1264(2)2

= 21439.06 mm4.



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