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Exam 2 practice

Exam 2 practice - SOME EXAM 2 PRACTICE PROBLEMS Statics...

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Unformatted text preview: SOME EXAM 2 PRACTICE PROBLEMS Statics Exam 2 Study Topics CHAPTER 3 Know: difference between resultant rigid~body problem and equilibrium rigid-body problem the equations associated with each type problem the terminology of force system reductions, equivalency of systems, etc. when a system of forces and couples can be reduced to a single equivalent force at a specific location ***-}+ Be able to: ’1‘ identify couples in its two forms * set up equivalent force/couple systems at specific locations * find the line—of—action of the resultant force where M=O 4‘ draw sketches of equivalent systems CHAPTER 4 Know: * the reactions for 2D and 3D supports * the types of constraint conditions: completely, partially, overly, improperly * when a problem is statically indeterminate or determinate and why * how to make an improper support proper and SD * what constitutes equilibrium conditions for a 2-force and 3—force body Be able to: * draw proper FBD’S of rigid bodies 4‘ draw reactions of simple supports not shown in text (i.e. “eyebolt”, “rings”, etc.) * use appropriate equilibrium equations for the solution of problems: - in 3D use all necessary equilibrium equations when required to find several unknowns, and use 1 key equation when required to find only one unknown * get the l.o.a. of the reaction of a pin support on a 2—force member (and show it in FED) ' * 301er for unknown reactions from any 2D or 3D support shown in tables even if no hwk was assigned with that particular support © STATECS GRADING RUBREC Objective Mastery Mastery Average lm prove M—— ' "—- “Ml—- a]! forcesimoments with proper labels fer unknowns -—- I’M-_— ‘-—- __. Recognizing Pertinent Concepts —_ _ dirvs plane reference angles ‘_ -F members at a support ‘ a. i tr". ; _ f ' ' I": 'Ifi’ll if _’i'- “a couie shown as 2 parailel equal and a . osite forces _ {l' I " 4y i' . ’\ is ‘ributed lea s to cancetrat - loads 7 5" "1- , . . direction and shape of water forces as distributed Iead I — direction of friction forces and magnitude of normai forces 7 Process ——-__ identify type of probiem: resultant or equiiibrium, 2D or 30 _ categorize force system: concurrent or non-comurrent 7‘. ‘qg‘ required to be found examples: ' ! must use anoher valid method or indeendent equation(s) to prove I I ' initial answer correct Legibmw . ._ ——_— neat, clean paper, no erasure smudges aegmswrmngnm ._ . .. ,7 --' w 2601b 2.51m. ‘( Replace the 260—1b force shown by an equivalent forceucouple system at C. & Problem 3.73 VECTOR MECHANICS FOR ENGINEERS file STA-“CS - Page 93 'Replace the 150+N force by an equivalent force—couple system at A. Mg: ‘1'" .22,é X’— Ai‘im 3%,; figmy; CE 2450 STATICS SUPPORT CONDITIONS/FBD’S For the two fi‘ames Shown: 180 mm 120 mm State the force system we’re dealing with: Describe the support conditions: Type of supports and if SD or SI: 1)_— .2) Draw of each one. 1) " ‘ 2) Number of unknowns: _ 1) List: ' 2) List: Numb er of equations:- _1)__n__nm_ . 2) Write out the equations and solve if, staticain determinate with the information from chapter 4; starting with the most efficient (one unknown in one equation); SOLVENG FOR REACTIONS BY RECOGINIZING Z—FORCE MEMBERS M3. Q (1») 24%? 5254 (T) B: @3170 E), 246:5on Cr) 3 ’5 397A} VS}?! 1 ° (:2) a=30°, (5) 3:60”. 7 ' CZ) my“ 39‘. (lg/AW @ CL: 270 g) 5&3” gate-,0 ' @ 3:58an igflgo D: wag USING YOUR KNOWLEDGE OF CONCWRENTINONCONCURRENT FORCE SYSTEMS TO SOLVE FOR REACTIONS The boom derrick supports a suspended 15-kjp load. :’ fig 5 I K 5 The booms BC and DE are each 20 ft long. The distances are a =15ftandb= 21°Land_th_eanglcl9 = 30°.Détermine the I tension in cable AB and the reacrjons at the pin supports C and R; C 7 '" .g‘f' k f CE 2450 STATICS PRACTICE 1N CONCEPTS FROM CHAPTER 4: A) For each structure Shown, identify members that can be classified as two-force elements and members that can be ciassified as three-force'elements. Consider a the weight of the members as negligibie. (a) The mass of each box suspended from this pin-connected frame in (a) Figure 7.1%: is 80 kg. ' ' (b) The lever system shown in Figure 7.17!) is used to support a load at end A. (c) The toggle clamp in Figure 7.170 holds the workpiece at’F. (:1) Members AB and BC in Figure 7.17.21 are pinned to (me anoflmr- at B. ' {e} Pipe strut BC in Figure 7.17e loaded and supported as shown B) In the following probiemsr and associated figures, the FBD of that system is. A shown. Determine if it is correct. Ifnot correct, describe what is incorrect and rediaw‘the FED correctly. e. A curved beam of weight W is supported at A by b. A beam is pinned at B and rests against a smooth 3. p111 connecnon and at B by a rocker, as shown in incline at A as shown in E6.2.1b. The total weight of the E6.2.1a. ‘ beam is W. E i ‘n r _E i t A; 1 I % -E5_2_1a “WW age c. A forklift is lifting a crate of weight W1 as shown in E6.2.1c. The weight of the forklift is W2. The front wheels d- A “While. hangs fmm the ceiling from a cord are free to turn and the rear wheels are locked. (E‘s-lid} , b. A crankshaft is supported by a jOumaI hearing at B a. A_sign of weight W (500 N) with center of gravity as and a thrust bearing at D. Ignore the weight of the crank shown is supported by cables and a collar joint (E6.3.1a). . (E6315). 7 - , . (b) (a) z Proposed free-quydiagmm , m E6.3.1 roposed reeabody diagram 0. A puliey is used to lift a weight W. The shaft of the d. A pole is fixed at B and tethered by 3 mpg: as pulley is supported by a journai bearing, as shown. Ignore shown. Ignore the WBigh’f 0f the P0Ila (E6315)- the weights of the puliey and the shaft (E6.3.1c). (d) ' J’ (C) r A {5, 6,1) m Proposed flee-body diagram ' . ' ' _ ‘ Proposed free-body diagram 4.28 For the flame and loading shown, determine the reactions at A andEwhen (a)a=30°.(b)a=45°. 20th - * 3:495 —@N w . 7w Wye/wer IN Woe-EWW .2 3W2 MW 'iuwtwwiuobmw flag Jofi, 4.39 A m e bracket is held at rest by a cable attached at E an frictionless rollers. Knowing that the width ofp-ost F6 is sfighitlz less tha distance between the rollers. determine the force exerte on ‘2: post by mfler when a = 20°; t 4.40 _Solye Prob. 4.39.when a f 30". 4.29 Neglecting friction, determine the tension in cable ABD and the radian at support C. g ,. 4.35 Determine due tension in each cable and the reaction at D. SOON L100 mm--r-im mm . Fig. 94.35 103 min-J h:- 4.43 An (El-kg mas can .. supported in the three were-at wage shown. Knowing that the pulleys have a IUD-mm radius,-deterrrfine the reac- tion at A in each case. - 4.95 A 250 X 400-mm of mass 12 kg and a SOD-mm—diameter Euflgx awed to axle AC which is supported by bearings at A and B. For B = 30 , aetennine (a) the tension in the cable. {5) the reactions at A and B. (game that the — erg—does not exectao; ' DRAW FBI) ONLY. .330 NOT SOLVE. Q _ 7 @ Member ABC—is supported by a pin maxi break-t atE and by an inertexm'hle cord attached atA and C and passing over a fiction- Iess pulley at D. The tension may be assumed to be the same in Porficzs AD- and CD ofthe cord. For the Ioadingshawn and neglecting the size eithe- pufley, determine the tension in the cbrd and the reaefion at 3. Determine the reactions at A and-B when 5 = 80’. Fig. P435 ©' All S—I-zg siender rod oflength L is attached to collars wifich may Slide freeiy along, the guides shown- Knowing that the rod is in equilibrium and that fl = 30’, determine (a) the angle 3 that the rod forms with the vertical, (b) the reactidns at A and B. _ _ 1 I i 7' Three rods are welded together to form a “coma” which is supported by three eyebolts, Neglecting friction. fieterrm'ne the at A, B, and then P=240Ib, a= 12m.,b=8in..a.ndc= 10in. F19- 154.34 _ A filo-kg cover for a roof opening is hinged at comers A and B; The roof forms an angle of 30° with the horizontal, and the cover is main- 7 'tained in a horizontal pasition by the brace CE. Determine (a) the magnitude afthe force exerted by the brace, (In) the reactions at the hinges. Assume that the hifige at A does not exert any axial thrust. E Fig. P4114 Anf—kgmmmbempportedinthedifi'mtways ' I shown. Knowingthepufleys have: 100-11111: radius, dderminethcrucfionsincachcase. ' 5.151 Two shafs AC and CF, which lie in the vertical :y pins, are connected a universal joint at C. The bearings at B and D do not enter: any 2an force. A couple of magnitude 500 lb (clockwise when viewed from the positive: axis)- is applied to shaft CF31 1". At a time when the arm of the cmsspieee attached to shaft CF is hofizonml, determine (a) the'magnimde of the muple which must be applied to shaft AC at A to equilibrium. (5} the reactions at B, D, and E. (Hint The sum of the couple's exerted on the Wicca mustbe zero.) W FED. C13 53¢“ 3W7: {c} CE 2450 STATICS QUIZ 3 ' NAME: DIRECTIONS: SHOW ALL WORK FOR FULL CREDIT 20 PTS 10 MNUTES The bent rod ABEF is supported by beatings at C and D and by wire AH. The portion of the rod AB is 250 mm long and the hearing at D does not exert any axial thrust. A) Draw the correct FED. B) Write the one eguatien needed to directly solve for the force in the wire AH. BEER a. JOHNSTON ‘ _ ' Problem 4.95 VECTOR MECHANICS FOR ENGINEERS 5/e . STAT'CS Page 162 Plumber exerts at A: _P_‘=—(6.51b)j_ g=—(97.51b-ft)1 Determine reactions at B, C, and'D caused by the plumber, ' BEER & JOHNSTON Problem 4.101 VECTOR MECHANICS FOR ENGINEERS 5/6 Page 163 Rod ABC is hinged to a vertical wall and bears at C against another vertical wall. For the load P2215ON, find the reaction at C. (Neglect friction.) Mi 5‘. Team. 2 Mia: (63,4 1M“? Myé: «409; t} lbs-H; (25 points) A 4-ft long bar AC is supported by a hinge at A and the cable BD. The hinge axis is along the z—axis; The centerline of the bar lies in the x—y plane, and the cable attachment ' point, B, is the midpoint of the bar. Determine the magnitude and direction of the reaction moments exerted on the bar by the single hinge at A. y Category of force system: Type of problem; # of unknowns:_ # of available eqns: # of unknowns required to find; Write the necessary equations in order of greatest efficiency. Given info: A( 0, 0, O) B(200s30, —l, 0) fi C(4cos30, —2, O) D( 2, 2, ~l) —100j (1b) -'6 _._..—-—-—-s .- .' r"- -- -. . _ . 7 m0-#-.....—.- -...---._.__..._‘..._ CE 2450 77"7 - ' “EXAM 2_—.- TIME:‘1 HOUR Problem#1 (33%) ‘ _ , _ .- _ __ ‘ ' A2-D fiameisloadedasshow-n. Itissupporrtedbye " fixede'naatAo-. _' 7 """" " " " 1 Draw' a clear Ftee Body Diagram of the frame I showingallthe'detafls. ‘ . ' 3 - tionsatA. ! Problem # 2 ( 30 0/0 ' " A uniform pipeoover ofrladius 9 in. and weight-60 lbs. is held in a. horizontal position by cable CD. Assuming that the hearing at B does not exert m axial thrust, determine _ 1 Thetensiozzinthe cable. ‘T: 70% DEAN A CLEAR Fab MGM a ’ i gout-amass (33%) gcéélgléfj :5: 74b} Z3 :: 553% The building is to fout'parallel coiumn loads es ShoWfi. : . 7 Y - Given that the Resultant Force Couple System at the Origin is: _ mm _ ' __ - r; 3'4: = —- mock kNm waif-(5'63 kN, \._ ‘ Q) Determine the magnitudes of the forces F1 , F; , and Fa.~ _1551fé33}¢m#4 (47o) - - - The structures not statically determinate. 1 Describe one modification in the supports in each case _. that would make the structure statically determinate. - _ . bot“ _‘ [m3 __ . _:-. - 1".‘7 , ...
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Exam 2 practice - SOME EXAM 2 PRACTICE PROBLEMS Statics...

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