Cross Section Moment Of Inertia #7 Example Of Calculating The Area Moment Of Inertia On An I-Beam

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Cross Section Moment Of Inertia #7 Example Of Calculating The Area Moment Of Inertia On An I-Beam

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Cross

cross (krôs, kros),USA pronunciation  n., v., adj.,  -er, -est. 
n. 
  1. a structure consisting essentially of an upright and a transverse piece, upon which persons were formerly put to death.
  2. any object, figure, or mark resembling a cross, as two intersecting lines.
  3. a mark resembling a cross, usually an X, made instead of a signature by a person unable to write.
  4. the Cross, the cross upon which Jesus died.
  5. a figure of the Cross as a Christian emblem, badge, etc.
  6. the Cross as the symbol of Christianity.
  7. a small cross with a human figure attached to it, as a representation of Jesus crucified;
    crucifix.
  8. a sign made with the right hand by tracing the figure of a cross in the air or by touching the foreheard, chest, and shoulders, as an act of devotion.
  9. a structure or monument in the form of a cross, set up for prayer, as a memorial, etc.
  10. any of various conventional representations or modifications of the Christian emblem used symbolically or for ornament, as in heraldry or art: a Latin cross; a Maltese cross.
  11. the crucifixion of Jesus as the culmination of His redemptive mission.
  12. any suffering endured for Jesus' sake.
  13. the teaching of redemption gained by Jesus' death.
  14. the Christian religion, or those who accept it;
    Christianity;
    Christendom.
  15. an opposition;
    thwarting;
    frustration.
  16. any misfortune;
    trouble.
  17. a crossing of animals or plants;
    a mixing of breeds.
  18. an animal, plant, breed, etc., produced by crossing;
    crossbreed.
  19. a person or thing that is intermediate in character between two others.
  20. [Boxing.]a punch thrown across and over the lead of an opponent.
  21. a contest the result of which is dishonestly arranged beforehand.
  22. a crossing.
  23. a place of crossing.
  24. [Plumbing.]a four-way joint or connection.
  25. an actor's movement from one area of a stage to another.
  26. Also called  cross-trade. an arrangement for the simultaneous sale and purchase of a block of stock handled by a single broker.
  27. [Mach.]spider (def. 6b).
  28. (cap.) See  Southern Cross. 
  29. bear one's cross, to accept trials or troubles patiently.
  30. take the cross, to make the vows of a crusader.

v.t. 
  1. to move, pass, or extend from one side to the other side of (a street, river, etc.).
  2. to put or draw (a line, lines, etc.) across.
  3. to cancel by marking with a cross or with a line or lines (often fol. by off or out).
  4. to mark with a cross.
  5. to lie or pass across;
    intersect.
  6. to meet and pass.
  7. to transport across something.
  8. to assist or guide (a person) across a street or intersection: The guard crossed the child at the traffic light.
  9. to place in the form of a cross or crosswise.
  10. [Biol.]to cause (members of different genera, species, breeds, varieties, or the like) to interbreed.
  11. to oppose openly;
    thwart;
    frustrate.
  12. to betray;
    double-cross.
  13. to make the sign of a cross upon or over, as in devotion: to cross oneself.
  14. to set (a yard) in proper position on a mast.
  15. [Obs.]to confront in a hostile manner.

v.i. 
  1. to lie or be athwart;
    intersect.
  2. to move, pass, or extend from one side or place to another: Cross at the intersection.
  3. to meet and pass.
  4. to interbreed.
  5. [Theat.]to move from one side of the stage to the other, esp. by passing downstage of another actor.
  6. cross one's heart. See  heart (def. 22).
  7. cross one's mind. See  mind (def. 21).
  8. cross one's path. See  path (def. 6).
  9. cross over: 
    • [Biol.](of a chromosome segment) to undergo crossing over.
    • to switch allegiance, as from one political party to another.
    • to change successfully from one field of endeavor, genre, etc., to another: to cross over from jazz to rock.
    • Also,  cross over to the other side. to die;
      pass away.
  10. cross someone's palm. See  palm 1 (def. 11).
  11. cross up: 
    • to change arrangements made with;
      deceive: He crossed me up after we had agreed to tell the police the same story.
    • to confuse: I was supposed to meet him at the station, but got crossed up.

adj. 
  1. angry and annoyed;
    ill-humored;
    snappish: Don't be cross with me.
  2. lying or passing crosswise or across each other;
    athwart;
    transverse: cross timbers.
  3. involving a reciprocal action, interchange, or the like: a cross-endorsement of political candidates; cross-marketing of related services.
  4. contrary;
    opposite: They were at cross purposes with each other.
  5. adverse;
    unfavorable.
  6. crossbred;
    hybrid.
crossa•ble, adj. 
crossa•bil′i•ty, n. 

Section

sec•tion (sekshən),USA pronunciation n. 
  1. a part that is cut off or separated.
  2. a distinct part or subdivision of anything, as an object, country, community, class, or the like: the poor section of town; the left section of a drawer.
  3. a distinct part or subdivision of a writing, as of a newspaper, legal code, chapter, etc.: the financial section of a daily paper; section 2 of the bylaws.
  4. one of a number of parts that can be fitted together to make a whole: sections of a fishing rod.
  5. (in most of the U.S. west of Ohio) one of the 36 numbered subdivisions, each one square mile (2.59 sq. km or 640 acres), of a township.
  6. an act or instance of cutting;
    separation by cutting.
    • the making of an incision.
    • an incision.
  7. a thin slice of a tissue, mineral, or the like, as for microscopic examination.
  8. a representation of an object as it would appear if cut by a plane, showing its internal structure.
  9. [Mil.]
    • a small unit consisting of two or more squads.
    • Also called  staff section. any of the subdivisions of a staff.
    • a small tactical division in naval and air units.
    • a division of a sleeping car containing both an upper and a lower berth.
    • a length of trackage, roadbed, signal equipment, etc., maintained by one crew.
  10. any of two or more trains, buses, or the like, running on the same route and schedule at the same time, one right behind the other, and considered as one unit, as when a second is necessary to accommodate more passengers than the first can carry: On holidays the New York to Boston train runs in three sections.
  11. a segment of a naturally segmented fruit, as of an orange or grapefruit.
  12. a division of an orchestra or band containing all the instruments of one class: a rhythm section.
  13. [Bookbinding.]signature (def. 8).
  14. Also called  section mark. a mark used to indicate a subdivision of a book, chapter, or the like, or as a mark of reference to a footnote.
  15. [Theat.]one of a series of circuits for controlling certain lights, as footlights.
  16. shape (def. 12).

v.t. 
  1. to cut or divide into sections.
  2. to cut through so as to present a section.
  3. to make an incision.

Moment

mo•ment (mōmənt),USA pronunciation n. 
  1. an indefinitely short period of time;
    instant: I'll be with you in a moment.
  2. the present time or any other particular time (usually prec. by the): He is busy at the moment.
  3. a definite period or stage, as in a course of events;
    juncture: at this moment in history.
  4. importance or consequence: a decision of great moment.
  5. a particular time or period of success, excellence, fame, etc.: His big moment came in the final game.
  6. the mean or expected value of the product formed by multiplying together a set of one or more variates or variables each to a specified power.
    • an aspect of a thing.
    • [Obs.]an essential or constituent factor.
  7. [Mech.]
    • a tendency to produce motion, esp. about an axis.
    • the product of a physical quantity and its directed distance from an axis: moment of area; moment of mass.

Of

of1  (uv, ov; unstressed əv or, esp. before consonants, ə),USA pronunciation prep. 
  1. (used to indicate distance or direction from, separation, deprivation, etc.): within a mile of the church; south of Omaha; to be robbed of one's money.
  2. (used to indicate derivation, origin, or source): a man of good family; the plays of Shakespeare; a piece of cake.
  3. (used to indicate cause, motive, occasion, or reason): to die of hunger.
  4. (used to indicate material, component parts, substance, or contents): a dress of silk; a book of poems; a package of cheese.
  5. (used to indicate apposition or identity): Is that idiot of a salesman calling again?
  6. (used to indicate specific identity or a particular item within a category): the city of Chicago; thoughts of love.
  7. (used to indicate possession, connection, or association): the king of France; the property of the church.
  8. (used to indicate inclusion in a number, class, or whole): one of us.
  9. (used to indicate the objective relation, the object of the action noted by the preceding noun or the application of a verb or adjective): the ringing of bells; He writes her of home; I'm tired of working.
  10. (used to indicate reference or respect): There is talk of peace.
  11. (used to indicate qualities or attributes): an ambassador of remarkable tact.
  12. (used to indicate a specified time): They arrived of an evening.
  13. [Chiefly Northern U.S.]before the hour of;
    until: twenty minutes of five.
  14. on the part of: It was very mean of you to laugh at me.
  15. in respect to: fleet of foot.
  16. set aside for or devoted to: a minute of prayer.
  17. [Archaic.]by: consumed of worms.

Inertia

in•er•tia (in ûrshə, i nûr-),USA pronunciation n. 
  1. inertness, esp. with regard to effort, motion, action, and the like;
    inactivity;
    sluggishness.
    • the property of matter by which it retains its state of rest or its velocity along a straight line so long as it is not acted upon by an external force.
    • an analogous property of a force: electric inertia.
  2. lack of activity, esp. as applied to a uterus during childbirth when its contractions have decreased or stopped.
in•ertial, adj. 

Of

of1  (uv, ov; unstressed əv or, esp. before consonants, ə),USA pronunciation prep. 
  1. (used to indicate distance or direction from, separation, deprivation, etc.): within a mile of the church; south of Omaha; to be robbed of one's money.
  2. (used to indicate derivation, origin, or source): a man of good family; the plays of Shakespeare; a piece of cake.
  3. (used to indicate cause, motive, occasion, or reason): to die of hunger.
  4. (used to indicate material, component parts, substance, or contents): a dress of silk; a book of poems; a package of cheese.
  5. (used to indicate apposition or identity): Is that idiot of a salesman calling again?
  6. (used to indicate specific identity or a particular item within a category): the city of Chicago; thoughts of love.
  7. (used to indicate possession, connection, or association): the king of France; the property of the church.
  8. (used to indicate inclusion in a number, class, or whole): one of us.
  9. (used to indicate the objective relation, the object of the action noted by the preceding noun or the application of a verb or adjective): the ringing of bells; He writes her of home; I'm tired of working.
  10. (used to indicate reference or respect): There is talk of peace.
  11. (used to indicate qualities or attributes): an ambassador of remarkable tact.
  12. (used to indicate a specified time): They arrived of an evening.
  13. [Chiefly Northern U.S.]before the hour of;
    until: twenty minutes of five.
  14. on the part of: It was very mean of you to laugh at me.
  15. in respect to: fleet of foot.
  16. set aside for or devoted to: a minute of prayer.
  17. [Archaic.]by: consumed of worms.

The

the1  (stressed ᵺē; unstressed before a consonant ᵺə;
unstressed before a vowel ᵺē),USA pronunciation
 definite article. 
  1. (used, esp. before a noun, with a specifying or particularizing effect, as opposed to the indefinite or generalizing force of the indefinite article a or an): the book you gave me; Come into the house.
  2. (used to mark a proper noun, natural phenomenon, ship, building, time, point of the compass, branch of endeavor, or field of study as something well-known or unique):the sun;
    the Alps;
    theQueen Elizabeth;
    the past; the West.
  3. (used with or as part of a title): the Duke of Wellington; the Reverend John Smith.
  4. (used to mark a noun as indicating the best-known, most approved, most important, most satisfying, etc.): the skiing center of the U.S.; If you're going to work hard, now is the time.
  5. (used to mark a noun as being used generically): The dog is a quadruped.
  6. (used in place of a possessive pronoun, to note a part of the body or a personal belonging): He won't be able to play football until the leg mends.
  7. (used before adjectives that are used substantively, to note an individual, a class or number of individuals, or an abstract idea): to visit the sick; from the sublime to the ridiculous.
  8. (used before a modifying adjective to specify or limit its modifying effect): He took the wrong road and drove miles out of his way.
  9. (used to indicate one particular decade of a lifetime or of a century): the sixties; the gay nineties.
  10. (one of many of a class or type, as of a manufactured item, as opposed to an individual one): Did you listen to the radio last night?
  11. enough: He saved until he had the money for a new car. She didn't have the courage to leave.
  12. (used distributively, to note any one separately) for, to, or in each;
    a or an: at one dollar the pound.

Area

ar•e•a (ârē ə),USA pronunciation n. 
  1. any particular extent of space or surface;
    part: the dark areas in the painting; the dusty area of the room.
  2. a geographical region;
    tract: the Chicago area; the unsettled areas along the frontier.
  3. any section reserved for a specific function: the business area of a town; the dining area of a house.
  4. extent, range, or scope: inquiries that embrace the whole area of science.
  5. field of study, or a branch of a field of study: Related areas of inquiry often reflect borrowed notions.
  6. a piece of unoccupied ground;
    an open space.
  7. the space or site on which a building stands;
    the yard attached to or surrounding a house.
  8. areaway (def. 1).
  9. the quantitative measure of a plane or curved surface;
    two-dimensional extent.
  10. a zone of the cerebral cortex having a specific function: The damage to Broca's area affected his speech.
are•al, adj. 
are•al•ly, adv. 

Moment

mo•ment (mōmənt),USA pronunciation n. 
  1. an indefinitely short period of time;
    instant: I'll be with you in a moment.
  2. the present time or any other particular time (usually prec. by the): He is busy at the moment.
  3. a definite period or stage, as in a course of events;
    juncture: at this moment in history.
  4. importance or consequence: a decision of great moment.
  5. a particular time or period of success, excellence, fame, etc.: His big moment came in the final game.
  6. the mean or expected value of the product formed by multiplying together a set of one or more variates or variables each to a specified power.
    • an aspect of a thing.
    • [Obs.]an essential or constituent factor.
  7. [Mech.]
    • a tendency to produce motion, esp. about an axis.
    • the product of a physical quantity and its directed distance from an axis: moment of area; moment of mass.

Of

of1  (uv, ov; unstressed əv or, esp. before consonants, ə),USA pronunciation prep. 
  1. (used to indicate distance or direction from, separation, deprivation, etc.): within a mile of the church; south of Omaha; to be robbed of one's money.
  2. (used to indicate derivation, origin, or source): a man of good family; the plays of Shakespeare; a piece of cake.
  3. (used to indicate cause, motive, occasion, or reason): to die of hunger.
  4. (used to indicate material, component parts, substance, or contents): a dress of silk; a book of poems; a package of cheese.
  5. (used to indicate apposition or identity): Is that idiot of a salesman calling again?
  6. (used to indicate specific identity or a particular item within a category): the city of Chicago; thoughts of love.
  7. (used to indicate possession, connection, or association): the king of France; the property of the church.
  8. (used to indicate inclusion in a number, class, or whole): one of us.
  9. (used to indicate the objective relation, the object of the action noted by the preceding noun or the application of a verb or adjective): the ringing of bells; He writes her of home; I'm tired of working.
  10. (used to indicate reference or respect): There is talk of peace.
  11. (used to indicate qualities or attributes): an ambassador of remarkable tact.
  12. (used to indicate a specified time): They arrived of an evening.
  13. [Chiefly Northern U.S.]before the hour of;
    until: twenty minutes of five.
  14. on the part of: It was very mean of you to laugh at me.
  15. in respect to: fleet of foot.
  16. set aside for or devoted to: a minute of prayer.
  17. [Archaic.]by: consumed of worms.

Inertia

in•er•tia (in ûrshə, i nûr-),USA pronunciation n. 
  1. inertness, esp. with regard to effort, motion, action, and the like;
    inactivity;
    sluggishness.
    • the property of matter by which it retains its state of rest or its velocity along a straight line so long as it is not acted upon by an external force.
    • an analogous property of a force: electric inertia.
  2. lack of activity, esp. as applied to a uterus during childbirth when its contractions have decreased or stopped.
in•ertial, adj. 

On

on (on, ôn),USA pronunciation prep. 
  1. so as to be or remain supported by or suspended from: Put your package down on the table; Hang your coat on the hook.
  2. so as to be attached to or unified with: Hang the picture on the wall. Paste the label on the package.
  3. so as to be a covering or wrapping for: Put the blanket on the baby. Put aluminum foil on the lamb chops before freezing them.
  4. in connection, association, or cooperation with;
    as a part or element of: to serve on a jury.
  5. so as to be a supporting part, base, backing, etc., of: a painting on canvas; mounted on cardboard; legs on a chair.
  6. (used to indicate place, location, situation, etc.): a scar on the face; the book on the table; a house on 19th Street.
  7. (used to indicate immediate proximity): a house on the lake; to border on absurdity.
  8. in the direction of: on the left; to sail on a southerly course.
  9. (used to indicate a means of conveyance or a means of supporting or supplying movement): on the wing; This car runs on electricity. Can you walk on your hands? I'll be there on the noon plane.
  10. by the agency or means of: drunk on wine; talking on the phone; I saw it on television.
  11. in addition to: millions on millions of stars.
  12. with respect or regard to (used to indicate the object of an action directed against or toward): Let's play a joke on him. Write a critical essay on Shakespeare.
  13. in a state or condition of;
    in the process of: on strike; The house is on fire!
  14. subject to: a doctor on call.
  15. engaged in or involved with: He's on the second chapter now.
  16. (used to indicate a source or a person or thing that serves as a source or agent): a duty on imported goods; She depends on her friends for encouragement.
  17. (used to indicate a basis or ground): on my word of honor; The movie is based on the book.
  18. (used to indicate risk or liability): on pain of death.
  19. (used to indicate progress toward or completion of an objective): We completed the project on budget.
  20. assigned to or occupied with;
    operating: Who's on the switchboard this afternoon?
  21. [Informal.]so as to disturb or affect adversely: My hair dryer broke on me.
  22. paid for by, esp. as a treat or gift: Dinner is on me.
  23. taking or using as a prescribed measure, cure, or the like: The doctor had her on a low-salt diet.
  24. regularly taking or addicted to: He was on drugs for two years.
  25. with;
    carried by: I have no money on me.
  26. (used to indicate time or occasion): on Sunday; We demand cash on delivery.
  27. (used to indicate the object or end of motion): to march on the capital.
  28. (used to indicate the object or end of action, thought, desire, etc.): to gaze on a scene.
  29. (used to indicate subject, reference, or respect): views on public matters.
  30. (used to indicate an encounter): The pickpocket crept up on a victim.
  31. on the bow, [Naut.]bow3 (def. 7).

adv. 
  1. in, into, or onto a position of being supported or attached: Sew the buttons on.
  2. in, into, or onto a position of covering or wrapping: Put your raincoat on.
  3. fast to a thing, as for support: Hold on!
  4. toward a place, point, activity, or object: to look on while others work.
  5. forward, onward, or along, as in any course or process: further on.
  6. with continuous activity: to work on.
  7. into or in active operation or performance: Turn the gas on.
  8. on and off, off (def. 22a).
  9. on and on, at great length, so as to become tiresome: They rambled on and on about their grandchildren.

adj. 
  1. operating or in use: The television set was on. Is your brake on?
  2. taking place;
    occurring: Don't you know there's a war on?
  3. performing or broadcasting: The radio announcer told us we were on.
    • behaving in a theatrical, lively, or ingratiating way: Around close friends, one doesn't have to be on every minute.
    • functioning or performing at one's best: When she's on, no other tennis player is half as good.
  4. scheduled or planned: Anything on after supper?
  5. [Baseball.]positioned on a base or bases: They had two men on when he hit the home run.
  6. [Cricket.]noting that side of the wicket, or of the field, on which the batsman stands.
  7. on to,  aware of the true nature, motive, or meaning of: I'm on to your little game.

n. 
  1. [Cricket.]the on side.

An

an1  (ən; when stressed an),USA pronunciation indefinite article.
  1. the form of  a before an initial vowel sound (an arch;
    an honor
    ) and sometimes, esp. in British English, before an initial unstressed syllable beginning with a silent or weakly pronounced h: an historian.

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