Homework Help: Help with Strength of Materials question

Well one is to find the deflection at 3m from the left end of a 6 m beam, which is therefore the midpoint.

There is a downward point load of 85 kN at 2 m from the left end and moment of 100 kN-m at 4 from the left end.

Do you know the convention on moment? The 100 kN-m moment will raise the portion of the beam on the left side, will lowering the portion of the beam on the right side, of the moment.

Do you have examples from your text book?

 

What methods do you know? Geometric and/or energetic?

 

I'll name a few:

Geometric Approach:

Double Integration
Superposition
Moment-Area
Conjugate Beam

Energetic:

Virtual Work
Castigliano's Theorem

any of them is in your course syllabus?

Usually a regular Mechanics of Material course will cover the three first geometric methods. An advanced course may include also Castigliano's Theorem.

 

If its Double Integration, you will simply need to work with the differential equation:

[tex] \frac{d^{2} \nu}{dx^{2}} = \frac{M}{EI} [/tex]

Moment-Area has two theorems, you'll need to work out.

why don't you pick one and start?

 

Why don't you show us what you did, so we can actually help?