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Unformatted text preview: EAS 207  STATICS Second Exam
Fall 2006 Total points: 100 Notes: 1. Closed book exam. 2. Do all problems.
3. Draw Freebody diagrams and reference axes for problem #1 1(a).(18 points) Determine the force in member JM of the loaded truss shown
below. 1(b‘). (18 points) An 18lb force is applied to the handle OAB of the cork puller.
' Determine the extraction. force F exerted on the cork. EAS 207 — Fall, 2005 SECOND EXAM TOTAL PTS. = 100 Note: Closed Book, Do all problems, Draw FBDS and reference axes. Qla (20 pts) The inverted bridge truss shown below supports a roadway and vehicles giving the
loading shown. Find the forces in members CD, DG, and EG. (Hint: Use the method of sections and then consider joint D) SkN lOkN SkN lSkN 12kN le (20 pts) A cord BD 15 used to keep the frame shown below from collapsing under the
distributed load w. Determine w when the tension in the cord IS 600 N. ism ‘
m»: 3 ms is (C t EAS 207 — STATICS _ Fall 2004
Second Exam ‘ Total Points: 100 Notes: 1. Closed Book; 2. Do all problems, 3. Draw free—body diagrams and reference axes Q1. (3) Using method of sections, determine the forces in members EF, KF and KL in the
truss shown in Fig.1. Assume A is a pin support and G is a roller suppon. (b) Guess the forces in members BC, BI, and HI. " l 6kN M V“ ”A , Fig.1 — Truss Q2. (3) Find the second moments of area Ixx & Iyy, and Ixy for the composite area shown in Fig.2. x
(b) Find the major andiﬂsinpr principal axes, and drawfh’eke axes in Fig.2.
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Fig.2 — Composite Area I/‘f I EAS 207  STATlCS
Second Exam Fall 2003 Total points: 100 Notes: 1. Closed book exam. 2. Do all problems.
3. Draw Freebody diagrams and reference axes for problem #1 0.1) Using the ‘Method of Sections’, determine the forces in members CD,
CJ and DJ in the truss shown in figure 1. (33 points) Q. 2) Determine the x and ycoordinates of the centgoid of the shaded
area. (33 points) EAS 207  STATICS
Second Exam Fall 2002 .. Total points: 100 Notes: 1. Closed book exam.
2. Do all problems. 3. Draw Freebody diagrams and reference axes for problem #1 Q1) Using the ‘Method of sections, determine the forces in members FH,
EG and FG in the truss shown in figure 1. ’ (33 points) 8.75 Mglm ) block attached to a steel (mass density = 7. g/m ) cylinder
as shown in Fig.2 . Determine mass moment of inertia of he composite body with respect to the xaxis showbﬁigZ fit; (33points)
E Q. 2) A composite body consists of a rectangular brass «Pas density =
8 EAS 207  STATlCS Final Exam . _
Fall 2006 ‘ Total points: 100 Notes: (i). Closed book exam.
(ii). Do all problems. »
(iii). Draw Free—body Diagrams and reference axes. Problem #1: The three blocks are positioned on an incline plane as shown
in fig.1 A force P parallel to the incline plane is applied to the middle block Determine the maximum value that P may have before any slipping takes
place (30 Points) )2 é‘: Problem #2: Water is held back by the submerged rectangular gate G as
shown infigure 2. Find the resultant force on the gate (and its point of'
action) due to hydrOstatic pressure. Also ﬁnd the support reaction at the gate’s hinge support. 2 . : a (30 points) 2K4”;
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Width of gate = W zﬂﬁajl‘ Rs 1 Problem #3
a) A beam is ioaded and supported as shown in Fig. 3.
i) Caiouiate the support reactions. ( 10 points)
ii) Write the shear force and bending moment equations for a beam
section between points C and D. ( 10 points) b) Draw oompiete shear and bending moment diagrams for the beam with
the aid of the area integration process. Be sure to Iabei the vaiues of
shear force and bending moment on the diagram. (20 points) , . .. RN _ t, A“ i 80;”! m
300 imam £00 50k N/m f ﬁst/Si _\ I /
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b: I Hi) V 33’ ”3513*“ i0 (5wa )AV taxi “in a: 100» i0<3C><r~2<> ._.. ”10 ‘73 CXWQD ”“' 3f: C“ b) EAS 207  STATlCS Final Exam ‘
Fall 2005 . Total points: 100 ~ Notes: (i). Closed book exam.
' (ii). Do all problems.
(iii). Draw Freebody Diagrams and reference axes. Problem #1: Determine the range of weights W for which the 100lb block
is in equilibrium for the system shown in figure 1. The coefﬁcient of static ’ friction between the pulley D and the inextensible cable is 0.15. Neglect the
frictions between wheels & the inclined plane, and betweenthe small pulley
& the cable. , (36 Points) Problem #2: Water is held back by the submerged rectangular gate 6 as
shown in ﬁgure 2'. Find the resultan force on the gate(and its point of
action) due to hydrostatic pressure so ﬁnd the support reaction at the gate’ 5 hinge support. f (30 points) EAS 207 ~ STATICS ’ Final Exam
Fall 2004 Total points: 100 Notes: (i) Closed book exam. (i i.) Do all problems.
(iii lll.) Draw Free body Diagrams and reference axes. Problem #1: A 100 Newton block is sitting on a 200 Newton block as
shown in ﬁgure 1. The coefﬁcient of static friction is 0.3 between all plane surfaces and 0.2 between the rope and the pulleyﬁ’.’ Determine the
minimum force P that must be applied to the 200 N block to start motion. (33 Points) drive V‘ Problem #2: An inextensible cable is loaded by concentrated forcesgii'l‘ca a),
Neglect the weight of the cable. Determine the support forces at A and B.
Also find the tensions in the cord 1% and the angle 33¢ , (25 points) I f V . 5 Probiem #3 gob v 1% 9‘: '4 7 '5; 5 a) A beam is loaded and supported as shown In Fig. 3 ’33? \ b C737,?" > > $33
i) Caicuiate the support reactions. ( 10 points) Cg; : ii) Write the shear force and bending moment equations fora beam ,,,,,,,,,, section between points C and D ( 12 points)
1wa eoo~ 73/; Cx— —I2I‘f ,2
b) Draw complete hear and bending moment diagrams for the beam with the aid of the area integration process Be sure to iabei the values of ’D\ ‘
shear force and bending moment on the diagram. 120 points) ' ‘ 0“ ‘2”sz0 1 Eifazo) 18:0) :‘szojzwijzoja’mzzo \ . EAS 207  STATlCS ‘  . . Final Exam
Fall 2003 Total points: 100
Time: 3 hours Notes: 1. Closed book exam. 2. Do all problems.
3. Draw Free—body Diagrams and reference axes. 0.1) Determine the supporting forces at A and B of the loadd frame
shown in Fig. 1 g , a 25 points) 0.2)
a) A beam is loaded and supported as shown in Fig.2.
i) Determine the support reactions. . (7 points)
ii) Write the shear force and bending moment equations for a beam
section between points '% C GM, 0 . (6 points)
,a \l, : "75‘0’200txwo) ~t— 30 (3610) "2* Vb) Draw complete shear and bending moment diagrams for the beam with the aid of the area integration process. Be sure to .label the values of shear
force and bending moment on the diagram. , (12 points) 0.3) The coefﬁcient of static friction between aii contacting surfaces in
Fig.3 is 0.25 . Determine the minimum and maximum vaiues of force F for which the assembly shown in Fig.3 is in static equilibrium. (25 points) Oi: //
bag?
@4 r—i
ix:
(2.4)
8) Determine ix, Iy and lxy for the area shown in Fig. 4 (15 oints)
b} Determine the ‘prineﬁmemeeis 5? area 3:72.“, enentatieee n
respect to x—aXis. . , ,; (10 points) EAS 207 — STATICS Final Exam
Fall 2002 Total points: 100 Notes: (i). Closed book exam. (ii). Do all problems.
(iii). Draw Freebody Diagrams and reference axes. Problem #1: Find the pin forces at G and supportlng forces at A and B of
the loaded frame shown in Fig. 1 (20 Points) Problem #2: Blocks A and B, shown in Fig. 2, weigh 50 lbs and 30 lbs,
respectively. Determine the greatest weight of block D without causing motion. (20points) Probiem #3 3) Determine the Moments of lnertia lx. ly, lxy for thewmposite section
shown in Fig. 3 (13 poi y
b) Determine the principal mint A. (7 points) vwx
‘ ,
it. wments of area at Problem #4 ,
a) A beam is loaded and supported as shown in Fig. 4. #33195“; q I; r
i) Calculate the support reactions. (5 points) AM: 3% 325,5; :3 abhbw ii) Write the shear force and bending moment equations for a béam
section between points D» and E. ( 7 points) V5 :3 $5?wa l‘S’X +6145) b) Draw complete shear and bending moment diagrams for the beam with
' the aid of the area integration process. Be sure to label the values of
shear force and bending moment on the diagram. (13 points) Problem #5: A free ater channel 10 ft wide normal to the plane of the
paper) is blocked at its :‘ cl by a rectangular arrier, shOwn in section ABD
(Fig. 5). Supporting. strUtsC are spaced a ery 2 ft along the 10 ft width.
Determine the compression .Vn each stru. Neglect the weight of the .v members. VV V» V D’ V V (15 points) .
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 Spring '08
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