Gng1105 Final
Universited'Otlawa
Faculte genie de genie civil
University of Ottawa Faculty Engineering of
Departementde
u Ottawa
L 'Uoivenite canj¥jienl!e Canada's university
Department of Civil Engineering
GNG 1105
ENGINEERINGMECHANICS FinalExamination December9th,2011 Profs. A. Skaff Ph. Girault Y. Haddad and A. Ahmed Duration:3 hours Page:1 of 2
"""C"
Closed bookexamination. Programmable calculators not allowed. are Free-body diagrams mustbe drawnwhereapplicable.
!, ,
Problem 1. (10/60)The truss shownis loadedby
two forcesP= 8 kN.Alljointsarepinned.
a) Determinethe reactionsat the supports0 and E. b) Usingthe method of sections,determine the forces in members BO, BE and CEin the truss, specifying for eachwhether it is in tension or compression.
I
,2m
I.
3 m.:~:c
3m
...
Problem 2. (12/60) The diagramshowsa frame which is loaded by a force P =20 kN. All joints are frictionlesspins. Determinethe reactionsat A and D and all forces acting on member DEF.Note that members ABC and DEF are continuous solid members.
Page of2 1
..2m
.,
Problem 3. (14/60) A 30 kg cover for a roof-opening
is hinged at corners A and B. The roof forms an angle of 300 with the horizontal, and the cover is maintainedin a horizontal position by the braceCEo Determine: (a) The magnitudeof the force exerted by the brace CE, (b) The reactionsat the hingesA & B. Assumethat the hinge at A doesnot exert any axialthrust.
~e,,=,
i:r~
Problem 4. (14/60) BlockA in the sketch hasa mass
of 20 kg and is attached to the wall by meansof a cord at an angleof 600with the vertical, while block B has a mass of 40 kg. The coefficient of static friction betweenA and B is 0.2, while the coefficient of static friction between B and the floor is 0.3. Determine the minimum force P required to cause BlockB to slide (i.e. Motion impending).
""~O
Problem S. (10/60) A ball is thrown from the top of a 20m high tower with an initial velocity of Va= 10
m/s
Faculte genie de genie civil
University of Ottawa Faculty Engineering of
Departementde
u Ottawa
L 'Uoivenite canj¥jienl!e Canada's university
Department of Civil Engineering
GNG 1105
ENGINEERINGMECHANICS FinalExamination December9th,2011 Profs. A. Skaff Ph. Girault Y. Haddad and A. Ahmed Duration:3 hours Page:1 of 2
"""C"
Closed bookexamination. Programmable calculators not allowed. are Free-body diagrams mustbe drawnwhereapplicable.
!, ,
Problem 1. (10/60)The truss shownis loadedby
two forcesP= 8 kN.Alljointsarepinned.
a) Determinethe reactionsat the supports0 and E. b) Usingthe method of sections,determine the forces in members BO, BE and CEin the truss, specifying for eachwhether it is in tension or compression.
I
,2m
I.
3 m.:~:c
3m
...
Problem 2. (12/60) The diagramshowsa frame which is loaded by a force P =20 kN. All joints are frictionlesspins. Determinethe reactionsat A and D and all forces acting on member DEF.Note that members ABC and DEF are continuous solid members.
Page of2 1
..2m
.,
Problem 3. (14/60) A 30 kg cover for a roof-opening
is hinged at corners A and B. The roof forms an angle of 300 with the horizontal, and the cover is maintainedin a horizontal position by the braceCEo Determine: (a) The magnitudeof the force exerted by the brace CE, (b) The reactionsat the hingesA & B. Assumethat the hinge at A doesnot exert any axialthrust.
~e,,=,
i:r~
Problem 4. (14/60) BlockA in the sketch hasa mass
of 20 kg and is attached to the wall by meansof a cord at an angleof 600with the vertical, while block B has a mass of 40 kg. The coefficient of static friction betweenA and B is 0.2, while the coefficient of static friction between B and the floor is 0.3. Determine the minimum force P required to cause BlockB to slide (i.e. Motion impending).
""~O
Problem S. (10/60) A ball is thrown from the top of a 20m high tower with an initial velocity of Va= 10
m/s