GATE XE (Engineering Sciences) 2018 - Question 55

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Section: Solid Mechanics | Marks: 2

Three round bars of same material, equal lengths, and different cross-sectional dimensions are shown in the figures as Case-I, Case-II and Case-III. All the bars are clamped at the upper end, and a concentrated load P is applied at the lower end of each bar. If the elastic strain energy stored in the bar shown in Case-I is ଵ then the elastic strain energy stored in Case-II and Case-III respectively is

Figure for question 55, GATE XE (Engineering Sciences) 2018

  • A. ቀ8 5 ൗቁܷ ଵ, ቀ5 8 ൗቁܷ ଵ
  • B. ቀ5 16 ൗ ቁܷ ଵ, ቀ5 16 ൗ ቁܷ ଵ
  • C. ቀ5 8 ൗቁܷ ଵ, ቀ8 5 ൗቁܷ ଵ
  • D. ቀ5 8 ൗቁܷ ଵ, ቀ5 8 ൗቁܷ ଵ Case-I Case-II Case-III 2d L d P 2d d L/4 L/2 L/4 d 2d d P P L/4 L/2 L/4

Answer: D. ቀ5 8 ൗቁܷ ଵ, ቀ5 8 ൗቁܷ ଵ Case-I Case-II Case-III 2d L d P 2d d L/4 L/2 L/4 d 2d d P P L/4 L/2 L/4

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