peas and runner beans - can they grow up poles together

i notice i have a pea  plant accidently growing alongside a runner bean, the bean is winding round the pole and the pea has got its tendils round the bean.  the pea is twice the size and way healthier than the peas in the adjacent bed.  i just wondered if they could be sort of planted together, and has anybody done this.  or would they end up stangling each other

the bean is a white lady and the pea is an early onward (i think)

  But a dried pea haulm shouldnt be that much of a problem .....   

No problem at all. They are both probably climbing up a dried bamboo stalk.

we planted a row of peas alternated with french beans and they all sem to be doing quite well together at the moment.
Grendel

Whilst the peas didn't "harm" the beans I found when grown together one tends to boss the other. In my case the peas won depriving the beans of light. Peas got up the poles and netting first then spread their leaves and shaded out the beans. The beans grew but are far smaller with fewer flowers than their contemparies growing nearby that were planted at the same time.