Etymology
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steel (v.)
"make hard or strong like steel," 1580s, earliest use is figurative, from steel (n.). Old English lacked the verb but had styled "made of steel." Related: Steeled; steeling.
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for- 

prefix usually meaning "away, opposite, completely," from Old English for-, indicating loss or destruction, but in other cases completion, and used as well with intensive or pejorative force, from Proto-Germanic *fur "before, in" (source also of Old Norse for-, Swedish för-, Dutch ver-, Old High German fir-, German ver-); from PIE *pr-, from root *per- (1) "forward," hence "in front of, before, toward, near, against."

In verbs the prefix denotes (a) intensive or completive action or process, or (b) action that miscarries, turns out for the worse, results in failure, or produces adverse or opposite results. In many verbs the prefix exhibits both meanings, and the verbs frequently have secondary and figurative meanings or are synonymous with the simplex. [Middle English Compendium]

Probably originally in Germanic with a sense of "forward, forth," but it spun out complex sense developments in the historical languages. Disused as a word-forming element in Modern English. Ultimately from the same root as fore (adv.). From its use in participles it came to be an intensive prefix of adjectives in Middle English (for example Chaucer's forblak "exceedingly black"), but all these now seem to be obsolete.

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steel (n.)
modified form of iron with a small portion of carbon, not found in nature but known in ancient times, Old English style "steel," from noun use of Proto-Germanic adjective *stakhlijan "made of steel" (source also of Old Saxon stehli, Old Norse, Middle Low German stal, Danish staal, Swedish stål, Middle Dutch stael, Dutch staal, Old High German stahal, German Stahl), related to *stakhla "standing fast," from PIE *stek-lo-, from root *stak- "to stand, place, be firm" (see stay (n.1)). The notion is perhaps "that which stands firm." No corresponding word exists outside Germanic except those likely borrowed from Germanic languages.

As an adjective from c. 1200 (Old English used stylen "*steel-en." Steel wool is attested from 1896. Steel drum is from 1952.
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for (prep.)
Old English for "before, in the sight of, in the presence of; as far as; during, before; on account of, for the sake of; in place of, instead of," from Proto-Germanic *fur "before; in" (source also of Old Saxon furi "before," Old Frisian for, Middle Dutch vore, Dutch voor "for, before;" German für "for;" Danish for "for," før "before;" Gothic faur "for," faura "before"), from PIE root *per- (1) "forward," hence "in front of, before," etc.

From late Old English as "in favor of." For and fore differentiated gradually in Middle English. For alone as a conjunction, "because, since, for the reason that; in order that" is from late Old English, probably a shortening of common Old English phrases such as for þon þy "therefore," literally "for the (reason) that."
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go for (v.)
1550s, "be taken or regarded as," also "be in favor of," from go (v.) + for (adv.). Meaning "attack, assail" is from 1880. Go for broke is from 1951, American English colloquial.
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good-for-nothing (adj.)
"worthless," 1711, from adjectival phrase (see good (adj.)).
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tit for tat 
1550s, possibly an alteration of tip for tap "blow for blow," from tip (v.3) "tap" + tap "touch lightly." Perhaps influenced by tit (n.2).
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free-for-all (n.)
"mass brawl" (one in which all may participate), 1918, from earlier adjective use (1868), especially in reference to open horse races, American English. Earlier as a noun in reference to free-for-all horse and motorcar races.
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steely (adj.)
1580s, "made of steel," from steel (n.) + -y (2). Figurative meaning "hard and cold as steel" is from c. 1500. Related: Steeliness.
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stainless (adj.)
1580s, from stain (n.) + -less. Related: Stainlessly. Stainless steel is from 1917, a chromium-steel alloy (usually 14% chromium) used for cutlery, etc., so called because it is highly resistant to rust or tarnish.
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