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How can we analyse a single-degree-of-freedom lumped parameter systems with damping?

How can we analyse a single-degree-of-freedom lumped parameter system with damping? In our previous article on undamped vibration, we looked at solving vibration problems with a single degree of freedom.  In this article, we’re going to look at systems with damping and how to analyse them. We’ll focus on the mathematical analysis of a single-degree-of-freedom […]

How can we analyse undamped vibration problems.

How can we analyse undamped vibration problems. In our previous article on harmonic motion, we looked at how we can analyse problems involving simple harmonic motion, now we’re going to look at solving vibration problems with a single degree of freedom. Vibration Analysis In vibration analysis, there are two approaches we are interested in.  One […]

How do we analyse problems involving harmonic motion?

How do we analyse problems involving harmonic motion? In our previous article on mechanical resonance, we looked at harmonic motion and how it affects structures.  Now we’re going to jump into how we can solve issues that involve simple harmonic motion. What is simple harmonic motion? Many systems consist of components that vibrate in the […]

What are mechanical resonance and damping in engineering?

What are mechanical resonance and damping in engineering? In our previous articles, such as our article on axial load-carrying capacity, we focused on buckling and load-carrying calculations.  In our next few articles, we’ll move on to focusing on the vibration of structures and how it can affect them. What is vibration in engineering? Let’s dive […]

How can we calculate the axial load-carrying capacity of a reinforced concrete column and classify it?

How can we calculate the axial load-carrying capacity of a reinforced concrete column and classify it? Following on from our previous article on the axial load-carrying capacity of a steel column, we’re going to look at the axial load-carrying capacity of a concrete column and also see how we can classify it. What is a […]

How do we calculate the axial load-carrying capacity of a steel column?

How can the axial load-carrying capacity of a steel column be determined? Following on from our previous article on evaluating the Euler buckling load, we’re going to look at some other calculations we need when looking at buckling of columns. Eccentrically loaded steel column design. The axial force can’t act centrically on the column, so, […]

How do we calculate the Euler buckling load?

How do we calculate the Euler buckling load? Following on from our previous article on evaluating the slenderness ratio in columns, we’re going to look at some other calculations we need when looking at the buckling of columns. Axial Resistance For the axial resistance of a column to be satisfied, the following conditions must be […]

Evaluating the slenderness ratio in columns.

Evaluating the slenderness ratio in columns. Following on from our previous article on buckling failure modes, we’re going to dive deeper into the types of buckling in columns. Column Buckling. Column buckling, or column stability, can be expressed as the failure of load-bearing capacity cause by the effect of pressure.  It’s manifested as bending, or […]

What are buckling failure modes?

What are buckling failure modes? In our previous articles on beams, we discussed various types of deflection and how we go about calculating it in various structures.  We’re going to pivot into buckling and how it can affect structures. What is buckling? Buckling occurs when a structure, such as a column or strut, is under […]

How do we analyse the deflection of simply supported beams using calculus.

How do we analyse the deflection of simply supported beams using calculus. In our previous article on deflection in simply supported beams, we looked at calculating deflection using standard tables.  In this article, however, our focus will be on calculating deflection using calculus.  Relationship Between Deflection, Slope and Radius of Curvature As we mentioned in […]