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Document Title
Fundamentals of Stress and Vibration Chapter Title
[A Practical guide for aspiring Designers / Analysts] 2. Engineering Mechanics
Substituting the value of (t) in equation (2.15), we get:
v + U v − U
2
2
2
2
s = ∗ = 2as = v − vU + Uv − U = v = U + 2as
2 a
Equation (2.14) can be graphically represented as shown in [Fig 2.10]
[Fig 2.10: Graphical representation of [v = u + 2as]]
2
2
The equation (2.16) could be recast to give: [v = U+at] - - - - (2.17)
Equation (2.17) can be graphically represented as shown in [Fig 2.11]
[Fig 2.11: Graphical representation of [v = U + at]
Substituting the value of (v) from equation (2.17) in equation (2.14), we get:
1
2
2 2
2
2
(U + at) = U + 2as = U + a t + 2Uat = U + 2as = s = ut + at - - - - (2.18)
2
2
2
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