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Unformatted text preview: CIVE 270 Final Exam Spring 2001 Name 1. A compressed air tank has a 600 mm outside diameter and an 8 mm wall thickness. The
pressure inside the tank is 150 kPa. A 50 kN force P is
applied to a wire wrapped around the tank as shown.
Determine the shear and normal stresses at locations a
and b. Sketch the elements with the stresses you have
calculated. Note: a is located at mid—height and b is
located at the top ﬁbre. CIVE 270 Final Exam Spring 2001 Name 2. Several planks are glued together to form the box beam shown in
crosssection in the ﬁgure. Knowing that the beam is subjected 20 to a vertical shear force of 3 kN, determine the average shear 20
stress in the glued joints at A and at B. 30
30 20 CI VE 270 Final Exam Spring 2001 Name 3. CIVE 251 (Survey school) students are commonly known to carry their levelling rod when it
is fully extended and in a horizontal position as shown in the ﬁgure below. The rod is
5000 mm long when fully extended and its total weight (accounting for dynamic effects while
carrying the rod) is 90 N. The crosssection of the rod is shown at the right of the ﬁgure. If
the rod is supported on the student’s shoulder at 3000 mm from one end as shown in the ﬁgure, calculate: (a) the maximum normal stress in the levelling rod when it is carried with the x—axis in
the vertical direction. (b) the maximum normal stress in the levelling rod when it is carried with the yaxis in
the vertical direction. (0) the factor of safety in each case if the ultimate stress of the material is 65 MPa. Note: The weight of the rod can be assumed uniformly distributed over its length. Levelling rod WI 15
Crosssection CIVE 270 Final Exam Spring 2001 Name 4. The cantilever beam shown has a length L and rests on a ﬂexible support at L/2 from the
ﬁxed end. The ﬂexible support has a stiffness k and prior to applying any load to the beam, it
is unstressed. The moment of inertia of the beam crosssection is I and the modulus of
elasticity of the beam material is E. Neglect the selfweight of the beam. A concentrated
downward force, F, is applied at the free end, as shown. (a) Find the reaction at the ﬂexible support as a function of k, F, E, I, and L. (b) Find the reaction at the same location if the spring is replaced by a roller. CIVE 270 Final Exam Spring 2001 Name 5. The statically determinate pin—ended truss shown is made up of members that have the cross
section given at the right of the ﬁgure. The modulus of elasticity of the material is
72,000 MPa and the yield stress in tension and compression is 270 MPa. A force, F, is
applied at point A, as shown. (a) Which member will yield or buckle ﬁrst as F is increased? (Clearly indicate
whether it yields or buckles.) (b) At what load, F, will this failure occur? Hint: Members AC and BE are critical in tension (they have the same force) and member ED
is critical in compression. ' Cross section CI VE 270 Final Exam Spring 2001 Name 6. The complete state of stress on an element taken from a structure is shown in 'the diagram on
the left. Using Mohr’s Circle, determine the state of stress at the same point in the structure
on the element shown in the diagram on the right. Draw a neat sketch of the rotated element clearly showing the stresses you have calculated. “5:?” ‘— 3.951 We
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This note was uploaded on 10/04/2009 for the course CIVE 270 taught by Professor Eddie during the Spring '09 term at University of Alberta.
 Spring '09
 EDDIE

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