I have worked for a GC road construction company, so I feel your pain.
1. Despite what some may think, safety is more than common sense. As the previous post stated, you need adequate training -- either the OSHA 30-hour or 40-hour for construction.
2. Next, how many injuries has your company had in the past 2 years? Your OSHA 300 log has this.
3. How much $$ is the company paying out in comp insurance?
4. You should be able to get #2 and #3 done in at most an hour.
5. Here's where the rubber meets the road. Find out what your typical profit margin is on a project. Since you're a project manager, this shouldn't be hard. Now, how many projects have to cover comp costs. Also, you can take total hours worked by the company (it's on the 300a form) and get how much per hour your company is spending on comp.
6. Armed with this info, have a talk with the president/owner of the company. Be prepared, you may be made the full-time safety person.
I'm an independent consultant, so I've had these discussions before with company presidents. Many don't realize how much a safe work place can positively impact their bottom line. That's why my company's slogan is, "Safety doesn't cost ... it pays." (You are free to use it in your discussion if you want.)
You can reach me at VabaSafety@aol.com
Dave McGill, CIH, CSP