ParadigmDawg,
Others have noted surprise that 3/4" MDF has bowed under only 45lbs. I agree. I calculate a maximum vertical displacement of 1/12" (approximately) assuming conservative load and support conditions. The shelf would not normally be expected to displace significantly unless the issue is
creep related, i.e. time dependant. If the shelf remains displaced when the speaker is removed then the issue is creep.
...what is a good wood to use for this?
According to the Young's modulus values from
here, Oak is only marginally more stiff than Pine, but approximately 2.5 times as stiff as MDF. In other words, all else being equal an Oak shelf will displace 2.5 times less than an identical MDF shelf.
Any wood that's 3/4" will flex and bow over time.
Any
material under load will creep over time. The question is whether it is significant/acceptable.
The lip resists flexing in the vertical direction because of its orientation and because there is more structure to it in that direction (on end).
The lip
better resists flexing in the vertical direction because stiffness is a function of depth cubed.
MDF is garbage. It works well for speakers because it's density is consistent and lacks the knots that some of the inner layers of Plywood has. Oak is at the other end of the wood spectrum; it's very hard and strong. It can bow if subjected to the right conditions.
You are confusing stiffness with strength. The two are not the same. Displacment is a function of stiffness alone. The strength, or otherwise, of a material is irrelevant.
Both plots show a maximum displacement of 0.0006" (what value did you adopt for material stiffness?) though the displaced shape is clearly different. Your lip appears inneffective.
...don't forget to move the foam to the ends closest to the shelf support pins. The shelf is strongest at the sides and along the spline. So you want to distribute the weight there, by moving the foam.
The shelf is equally strong in bending at all points because its cross section is constant over its length. The reason for moving the load to the sides is to reduce the applied bending moment.