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Strength Of Materials Miscellaneous

Strength Of Materials

  1. A simply supported beam of length 2L is subjected to a moment M at the mid-point x = 0 as shown in the figure. The deflection in the domain 0 < x < L is given by
    w =
    - Mx
    (L - x)(x + c)
    12EIL

    where E is the Young's modulus, I is the area moment of inertia and C is a constant (to be determined).
    1. ML
      (2EI)
    2. ML
      (3EI)
    3. ML
      (6EI)
    4. ML
      (12EI)
Correct Option: C

ΔBA =
(first moment area APB)
EI


=
-1
M
×
1
× L × 2
L
M
EI2232EI

=
ML²
6EI

Slope at A =
ΔBA
=
ML
L6EI



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