A flexible yoke or mounting body for a pod support apparatus, such as a monopod or bipod, includes a resilient section interposed between leg(s) of the pod support and a device supported thereon. The resilient section is preferably formed of a bendable elastomeric material to thereby facilitate manual tilting of the portable equipment on the pod support apparatus. In a multipod embodiment, the yoke or mounting body may include multiple leg extensions of elastomeric material for detachably securing multiple support legs thereto in angularly-spaced relation. The resilient section may allow the legs of a multipod to be moved independently of each other. A quick-detachable coupling device is preferably provided for detachably and rotatably coupling a piece of portable equipment such as a rifle or spotting scope to the pod support device.