As far as fragile, it's in the eye of the beholder I guess, Anti-Ship missiles from any country are very complex weapons that require careful handling because of delicate internal components, but it's no different than other ordinance that is intended to get to the target and explode violently. It's also physically small.
The body is most likely made from advanced composites as alluded to here: http://www.exelisinc.com/news/pressreleases/Pages/ITT-Exelis-receives-composite-structures-contract-for-the-Lockheed-Martin-Joint-Air-to-Surface-Standoff-Missile-(JASSM%C2%AE)-.aspx
ITT Exelis (NYSE: XLS) received a contract in excess of $10 million for Lot 10 production of composite missile bodies and structures for the baseline and extended-range versions of Lockheed Martin’s Joint Air-to-Surface Standoff Missile (JASSM).
Exelis will use its composite fabrication expertise in braiding, resin transfer mold and vacuum-assisted resin transfer molding to produce the complex structures. The combination of these processes provides automated, low-cost and high-quality structural parts. Exelis has built more than 1,500 missile bodies and structures in support of the JASSM program.
“We have an established relationship with Lockheed Martin Missiles and Fire Control that dates back to the inception of the JASSM program,” said Mike Blair, vice president and general manager of Exelis Aerostructures business. “This contract utilizes our breadth of composite solutions and extends our application of innovative process technologies to create greater value for our customer.”
This is scary, because it means the entire body is probably radar absorbant advanced composites, it only has to be structurally sound enough for the missile to launch from a VLS and follow it's flight profile in turbulence while high subsonic. This also means the body is probably very light as not much metals would be used.
Nice photos btw NakedWeasel
Looks like Lockheed is setting up for LRASM production:
http://www.defenseindustrydaily.com/agm-158-jassm-lockheeds-family-of-stealthy-cruise-missiles-014343/
Feb 27/14: Industrial. Lockheed Martin breaks ground on a 62,000 square foot annex to its Pike County Operations’ Long Range Strike Systems cruise missile production facility in Troy, AL. When it’s complete, the facility will have expanded its existing space by 67%. The annex is supposed to be done by Q1 2015.
The Pike County facility builds JASSM missiles, and also produces test missiles for the Long Range Anti-Ship Missile (LRASM) development program. While there is foreign interest in JASSM, an expansion of this magnitude suggests that the firm expects LRASM/OASuW to become a program in its own right. Sources: Lockheed Martin, “Lockheed Martin Breaks Ground on New Cruise Missile Annex at Award Winning Facility in Alabama”.