engineering core courses

Statics
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Statics
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C5: Internal Forces and Beams
5.1 Beams – Distributed Forces
- Theory - Example - Question 1 - Question 2 - Question 3
5.2 Beams – Internal Forces
- Theory - Example - Question 1 - Question 2
5.3 Shear Force and Bending Moment Diagrams
- Theory - Example - Equation approach - Example - Direct method - Question 1 - Equation approach - Question 1 - Direct method - Question 2 - Direct method

C5.1 Beams – Distributed Forces

Beams are integral to many structures, from bridges to skyscrapers. As such, analysing them is very important for you budding engineers to design safe beam structures.


Examples of structural beams in real life

C5.1 Beams – Distributed Forces

Beams are integral to many structures, from bridges to skyscrapers. As such, analysing them is very important for you budding engineers to design safe beam structures.


Examples of structural beams in real life

Generally beams are used to form structural frames for other structural elements to sit on. A good example is the concrete slabs for floors/roads. These do not act as point loads on the beam, but rather as distributed loads.

Loads acting on beams in a distributive manner in real life

Distributed loads can come in different forms:

Different forms of distributed load: uniform, triangular and as a function

Distributed loads are represented by the letter “w”, and have the unit of N/m. To find the equivalent force, you calculate the area under the distributed load, by multiplying the w (N/m) by the length of the load (m) to yield the force (N/m × m = N). The equivalent force acts at the centroid of the area under the distributed load.

Let’s look at an example of how we analyse beams with distributed forces.

Generally beams are used to form structural frames for other structural elements to sit on. A good example is the concrete slabs for floors/roads. These do not act as point loads on the beam, but rather as distributed loads.

Loads acting on beams in a distributive manner in real life

Distributed loads can come in different forms:

Different forms of distributed load: uniform, triangular and as a function

Distributed loads are represented by the letter “w”, and have the unit of N/m. To find the equivalent force, you calculate the area under the distributed load, by multiplying the w (N/m) by the length of the load (m) to yield the force (N/m × m = N). The equivalent force acts at the centroid of the area under the distributed load.

Let’s look at an example of how we analyse beams with distributed forces.

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