No crank no start

Replaced my battery and I pulled the starter out, took it to get it checked and it passed. I put it back together and still no crank no start. I checked the fuses used a test light nothing bured when I turn the key on everything works lights, horn taillights front lights wipers turn signal, and when I turn the key on I can hear a clicking sound by the intake housing and goes off about one second after I turn the key on then shuts off. This is the only vehicle we have, and we live out in the country about 8 miles out. Thank you if you could help.