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Architecture and Planning Miscellaneous-topic

Architecture and Planning Miscellaneous

  1. A solid straight steel rod of diameter 100 mm is bent in single curvature into a circular arc by a moment of 50 kNm applied at its ends. If elastic modulus, E, for steel is 2 × 105 MPa, the radius of curvature (mm) of the arc assuming π = 3.14 is _____________
    1. 19615 to 19635
    2. 29615 to 31635
    3. 615 to 635
    4. 9615 to 9635
Correct Option: A

(19615 to 19635)

M =
EI
R

Where M = Moment = 5000 Nm
E = Elastic Modulus = 200000000000 Pa
I = Moment of inertia =
(pi × 54)
64

=
3.14 × 1004)
= 4906250
64

R =
EI
= 19625 mm
M



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