GATE XE (Engineering Sciences) 2007 - Question 73

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Section: Solid Mechanics | Marks: 2

Group I contains beams with different types of supports and loading conditions (P: Simply supported beam with central point load $F$; Q: Simply supported beam with UDL $w=F/L$; R: Cantilever beam with tip point load $F$; S: Cantilever beam with UDL $w=F/L$). The beams have the same flexural rigidity $EI$ and span $L$. Group II contains the maximum deflections: (1) $\frac{1}{3}\left(\frac{FL^3}{EI}\right)$, (2) $\frac{1}{8}\left(\frac{FL^3}{EI}\right)$, (3) $\frac{1}{48}\left(\frac{FL^3}{EI}\right)$, (4) $\frac{5}{384}\left(\frac{FL^3}{EI}\right)$. Match the beam from Group I with the maximum deflection given in Group II.

Figure for question 73, GATE XE (Engineering Sciences) 2007

  • A. P-3, Q-4, R-1, S-2
  • B. P-3, Q-2, R-1, S-4
  • C. P-4, Q-3, R-1, S-2
  • D. P-3, Q-4, R-2, S-1

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