Electronic – How to calculate the power dissipation of an IC from datasheet values

The J is probably a typo, unit of power is watt and not joule. To calculate signal power: \$P=\frac{1}{T}\int\limits_0^T{u(t)i(t)\,dt}=\frac{1}{T}\int\limits_0^T{\frac{u^2(t)}{R}dt}=\frac{4}{TR}\int\limits_0^{T/4}{(10t)^2dt}=\frac{4\cdot 100}{4\cdot 100}\int\limits_0^{1}{{t^2}\,dt}=\left[\frac{t^3}{3}\right]_0^1=\frac{1}{3}-0=\frac{1}{3}\,\mathrm{W}\$

Your fans and CPU cooler will run from +12. All the others will run from various voltages derived from either 3.3 or 5 volts, and without the detailed specs, you cannot tell the current levels at any voltage.

However, since your computed max power is 169 watts and the supply is only rated for 160, regardless of how it's divvied up you're probably in trouble. That's not to say it won't work, necessarily, since it's entirely possible that not all the components will require maximum power and at the same time.

But it's probably not a good idea trust this. Murphy's Law applies.