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

- 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