"Then we have the K Frame. A frame size that splits the difference between the other two. Bigger and more stable than the J frame, but more portable than the N frame..."
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While the K-Frame may fit squarely in between the small J-Frame and large N-Frame it must be remembered that it came along first, beating either of the other frame sizes to the market by several years.
I think the K-Frame is amply sturdy to handle .357 Magnum. It's more a matter of dimensional restrictions.
Here's a couple of illustrations of the problem as I understand it. J-Frame seen is an early Chiefs Special and K-Frame is a Model 10 but these characteristics are common to all J-Frames and K-Frames.
J-Frame
K-Frame
The K-Frame's size requires a cut to be made on the bottom of the barrel shank for yoke clearance. This leaves the bottom of the barrel shank with somewhat less "meat" than would otherwise be available to sustain long term Magnum stresses. Cracks are said to develop in this area.
The 5-shot J-Frame doesn't require any clearance cut in the barrel shank for yoke clearance. Additionally, the shank is short and well-supported.
The taller L-Frame's frame eliminated this problem as it is able to provide for a full barrel shank while having clearance for the yoke.
No matter. I've owned K-Frame Magnums and have only used them with Magnum ammunition with no problems. A K-Frame .357 Magnum revolver is such a great idea that it ought to still be produced. My most recent K-Frame .357 Magnum was a good deal from a kind brother-in-law and I'm grateful to have it. A very handy size for a .357 belt gun and the 2 1/2-inch and 3-inch K-Frame Magnums make the ultimate concealable .357 Magnum revolvers. Almost as compact as popular 5-shot models, they offer 6 shots and the unsurpassed Smith & Wesson action.
I am not enamored of the overrated and oversold 125 grain .357 Magnum loadings anyway. The .357 Magnum is more capable than that. I like 158 grain bullets or heavier in magnum loadings best. The lightweight 110-125 grain bullets may be used in lesser cartridges like 9mm or .357 SIG. Besides, there seem to be so many popular "-P" .357 Magnum loads marketed these days for those who insist on carrying Airweight .357 Magnum revolvers but don't want the belting and the noise of the genuine full-powered .357 Magnum article. None of the watered-down stuff is going to hurt anything.