Thoroughly scrub cucumbers; do not peel. Cut ends from cucumbers and discard. Slice cucumbers thinly, making 4 quarts. In a large non-reacative container (Such as ceramic, glass, stainless steel - not aluminum), combine cucumber, onion, peppers, salt and ice cubes. Let stand at room temperature for 3 hours. Drain. Lightly rinse to remove excess salt and throughly drain again.
In a large stainless steel or enamel kettle, bring the combined vinegar sugar, mustard seed, celery seed, and turmeric to a boil over medium heat. Add cucumber mixture and return to a boil. Stir in beer and remove from heat. Ladle into hot sterilized jars, leaving about 1/2-inch headspace. Seal with 2-piece lids.