# Category: Structural Dynamics

## Calculating the Natural Circular Frequency, Period, and Frequency of a Cantilevered Beam with a Concentrated Load at Any Point Along its Length

February 23, 2017 Abdul Siraj, P.E.

In this post, I will discuss the fourth example in our structural dynamics course covering undamped free vibration. The goal of this structural dynamics example is to calculate the natural circular frequency, period, and frequency of a cantilevered beam with a concentrated load at any point along its length.   The problem statement states,   A…

## Calculating the Natural Circular Frequency, Period, and Frequency of a Fixed Fixed Beam with Concentrated Load at Midspan

February 23, 2017 Abdul Siraj, P.E.

In this post, I will discuss the third example in our structural dynamics course covering undamped free vibration. The goal of this structural dynamics example is to calculate the natural circular frequency, period, and frequency of a fixed fixed beam with concentrated load at midspan.   The problem statement states,   A simply supported beam having…

## Calculating the Natural Circular Frequency, Period, and Frequency of a Cantilevered Beam with a Concentrated Load at the End

February 23, 2017 Abdul Siraj, P.E.

In this post, I will discuss the second example in our structural dynamics course covering undamped free vibration. The goal of this structural dynamics example is to calculate the natural circular frequency, period, and frequency of a cantilevered beam with a concentrated load at the end.   The problem statement states,   A cantilevered beam having…

## Calculating the Natural Circular Frequency, Period, and Frequency of a Simply Supported Beam with a Concentrated Load in the Middle

February 23, 2017 Abdul Siraj, P.E.

In this post, I will discuss the first example in our structural dynamics course covering undamped free vibration. The goal of this structural dynamics example is to calculate the natural circular frequency, period, and frequency of a simply supported beam with a concentrated load in the middle.   The problem statement states,   A simply supported…

## Calculating the Required Spring Constant to Achieve a Specified Level of Isolation

February 3, 2017 Abdul Siraj, P.E.

In this post, I will discuss the ninth example in our structural dynamics course covering the response of systems to harmonic excitation. The goal of this structural dynamics example is to calculate the required spring constant to achieve a specified level of isolation.   The problem statement states,   An instrument package weighing 300 lbs is…