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Unformatted text preview: EAS 207  STATICS Final Exam
Total points: 100 Time: 2 hours Fall 2007 Notes: (i). Closed book exam.
(ii). Doall problems.
(iii). Draw Freebody Diagrams and reference axes. Problem #1: Determine the range of cylinder weight W for which the
(8 Points) system shown in Fig.1 is in equilibrium. 2 a: \21 N
m l Vt
t W WKCRW "m: i
v Problem #2 a) A beam is loaded and supported as shoWn in Fig. 2.
i) Calculate the support reactions. 1 (2.5 points)
ii) Write the shear force and bending moment equations for a beam section between points B and C. (2.5 points) 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.» 2 O‘tktﬁ’ ' 20055 I Problem #3(a): The cable supports the loading show in Fig. 3(a).
Determine the distance XB from the wail to point B. (5 points) Problem #363):
Water in a channel, as shown in Fig. 3(b), is contained by " the 8 feet rectangular gate AB hinged at A. If the gate is designed to open
when the depth of water’reaches 3 feet, what must be the weight W of the
gate (in lb perfeet width perpendicular to the plan shown in ﬁgure below).
(5 points) EAS 207 — STATlCS
Third Exam
Fall 2008 Total points: 100 Time : 2 hours
Note: This is a “Closed book” examination. Draw FreeBodyDiagram for all
problems. Q. 1) A rope attached to a 35 lb crate passes around two fixed drums as
shown in Fig. 1. The 45 lb crate is attached to a wall by a second cord. The
coefficient of static friction between the two crates is 0.24, between the crate
and the inclined floor is 0.20, and between the rope and the drums is 0.18 Determine the minimum force P needed to cause sliding of the 35 lb crate.
(30 points) , , Ftout
Q. 2) The beam is loaded and supported as shown in Fig. 2‘ (a) Calculate the support reactions. (7 points) (b) Draw complete shear and bending moment diagrams for the beam
with the aid of area integration process. Be sure to label the values
of shear forces and bending moments on the diagram. (20' points) (c) Write the shear force and bending moment equations for a beam / ~\. Q. 3(a) The cable supports the loading shown in Fig. 3(a). Determine the
magnitude of the horizontal force P. (17 points) : lltlll‘l it
ltlllllQElllllalll l ll llllllltll l lint ill
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WWW l
“till \lllllll
\llllltl‘llll \ lilillllill
\‘llﬁtll llllil ? g é E
E
E / 5/ ;s Q. 3(io) Determine the resultant force exerted on the oyiindricai dam surt'ce
by the water. The unitweight of water is 9.81kN/m3, and the dam has a length
b, normal to the paper, of 30 m. Also find the location of the resultant where it crosses the x—axis. (18 points) Quarter~circular area 1
Area = 177132 EAS 207  STATICS Final Exam ' .
Fall 2009 , Total points: 100 Notes: (i). Closed book exam.
(ii). Do all problems. ,
(iii). Draw Freebody Diagrams and reference axes. Q. 1) Determine the Centroid of the area. shown, in the ﬁgure below in terms
of “a” and I » t (20 points) Lemm; I, Q2) Determine the range of cylinder weight W for which the system in Fig.2 is in equilibrium. , ' (20 Points) (2.3) (a) A beam is loaded and supported as shown in Fig. 3. Calculate the support reactions. (3 points)
Write the shear force and bending moment equations for a beam
section between points B and C. (6 points) 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. Also show the values of
(11 points) calculated areas on the shear—force diagram. (2.4) For the rectangular shape with a Z cutout shown below, Determine a) ix. ly and lxy at pOiht C for the given centroidal axes. (13 points
b) The orientation of principal a>g§s'and the values of principal moment of
inertia. ‘ ‘ ' (7 points) j
at > 0.5) The design of a hoisting mechanism for the dump truck is shoWn in
the enlarged view (Fig. 5b). Determine the compression P in the hydraulic
cylinder BE and the magnitude of the force supported by the pin at A for the
particular position shown, where BA is perpendicular to OAE and link DC is
perpendicular to AC. The dump and its load together weigh. 20,000 lb with
its Center of gravity at G. (20 points) WWW Moscow N _ ( P: 2_,(;39331{l9;§
} Fﬂelétﬁngisx
E\ For: WAVG tel \W mmmmmmmmm V L 20” sf 48” >1 Detail of hoisting mechanism EAS 207  STATICS
Final Exam
Fall 2010 Total points: 100 Notes: (i). Closed book exam. (ii). Do all problems.
(iii). Draw Freebody Diagrams and reference axes. Q. 1) As shown in Fig.1 a bar AB is resting against a smooth wall and on
block C. The weight of bar AB is 500le and that of block C is 300 lbs.
Friction at A is negligible, and the coefficient of static friction is 0.4 at the ' other two contact surfaces. Evaluate the possibilityof bar AB and/or block
C sliding under the given condition. (20 points) ﬁw: 
Nﬁxzng‘jib/f NngQﬂ it;
. We; 5S»? ‘ ﬁ'W’ii ‘ , gm Hg wit/S ' x * ' (961 “3%” “wk C i ggﬂqﬂﬁ C $// Q. met saga a; ti Vimégmixcwi. gmiéczrg":
NMMWW W window in Fig. 2 weighs 40 lb; its center of gravity G is located at A
the geometric center. Find all forces acting 'on the window when it is held
open in the position shown by the rope attached to C. Assume that hinge at B does not provide any reaction along xaxis (BX = O). r by (20 Points)
. 7 Q . 0.3) A beam is loaded and supported as shown in Fig. 3. (a) Calculate the support reactions. (5 points)
(b) Write the expressions for shearforce and bendingmoment for a section between points C and D by considering loadings on the left hand
side of the section. . (5 points)
(c) Draw complete shear and bending moment diagrams for the beam with r
the aid of the area integration proceSs. Be sure to label the values of shear
force and bending moment on the diagram. Also show the values of
calculated areas on the shearforce diagram. (10 points) A ‘
M5 g at}.
B" 4hp/ft "WWW M.  w “6.4
"gaté"(dimensi6n perpendicuiar‘to the page)‘is"4 m, and it weighs 157 kN.’
Determine the resultant force on the gate due to fluid pressure. Also
calculate the reactions on the gate at A and B. The support at B exerts only
a horizontal reaction on the gate. W7 (:3; Saw—3 ‘ _ (20 points)
gﬂ'T—TSAWAYV w 35 v’ r 35 5* W. emaam;
(3.5) Determine the mass moment of inertia .lx for the rectangular prism (with two cutouts) shown in Fig. 5. The mass density is 1.0 slug/ft3.
(20 points) Raﬁ92ft “ix :2: 2.203m0‘5etwg5 ...
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 Fall '08
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