Discussion
The Newmark-beta method with \( \beta = 1/4 \) and \( \gamma = 1/2 \) is known as the
Answer: C
Correct answer: average acceleration method
With \( \beta = 1/4 \) and \( \gamma = 1/2 \), Newmark's scheme assumes the acceleration is constant over the step at the average of its end values - hence the name, and the alternative label "constant average acceleration".
The choice is important because it is unconditionally stable, so the time step is chosen for accuracy alone. Setting \( \beta = 1/6 \) gives the linear acceleration method, which is more accurate but only conditionally stable.
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