These are the checksums for libeay32.dll v1.0.1.3 that should be located at "<install path>\steamapps\common\Dirty Bomb\Binaries\Win32":
Code:
File: libeay32.dll
CRC-32: af59d768
MD5: d4668be5b33f8d8065b15ef7c2b92c09
SHA-1: dea5aca9f632ef2a64f6c99bbe729d430a54993f
SHA-256: 946b40b8f3d28a71297127c97ffd2d0f25a66f0c057467a569ca5e04904b6488
SHA-512: 51c34a83fb41640babe6f80ed5e3b7f5625cb618d3c3868fd9db42cb07d12f33e181539097583127b5a62a09cbe16f983f8bf1c45988af9194f0f37b3b8f42b8
Maybe it helps to confirm your file/version is correct.
Here are some things you can try that might help: Tips to fixing wierd problems
If all else fails try uninstalling and install from scratch again.
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