1. Statics 2013/2014 - COZ Block 7 - Problem 1
Part A
If the spring has a torsional stiffness of = 400 and it is unstretched when = 90 , determine the angle
when the frame is in equilibrium.
Express your answer to three significant figures and
include the appropriate units.
ANSWER:
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2. Statics 2013/2014 - COZ Block 7 - Problem 2
The structure with a total length of 8 m is loaded by a force = 16 at a distance = 2.9 from the support on the
left.
Part A
Determine the magnitude of the internal bending moment at a distance = 0.9 from the roller support on the left
hand side. Hint: Solve using the principle of virtual work and use previously mastered methods to check your
answer.
Express your answer with the appropriate units.
ANSWER:
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3. Statics 2013/2014 - COZ Block 7 - Problem 3
Part A
Determine the magnitude of the couple moment required to support the 28 cylinder in the configuration shown.
The smooth peg at can slide freely within the slot. Neglect the mass of the members.
Express your answer with the appropriate units.
ANSWER:
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4. Statics 2013/2014 - COZ Block 7 - Problem 4
The beam shown is loaded by a distributed load = 4 over a length 2 at the end of the beam, where = 3.7 .
Set 4 .
Part A
Calculate the moment reaction in A (counter clockwise positive). Hint: Solve using the principle of virtual work and
use previously mastered methods to check your answer.
Express your answer with the appropriate units.
ANSWER:
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5. Statics 2013/2014 - COZ Block 7 - Problem 5
The structure given consists of parts AS and Parts SBCDE, connected using a hinge at S. The angle at D is fixed. The
structure is clamped at A and supported by a horizontal roller at C. A force = 60 is applied at E and a vertically
distributed load = 60 is applied at segment BC. Furthermore = 6 .
Part A
Calculate the reaction force in support C (upwards positive). Hint: Solve using the principle of virtual work and use
previously mastered methods to check your answer.
Express your answer with the appropriate units.
ANSWER:
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Typesetting math: 100%
6. Statics 2013/2014 - COZ Block 7 - Problem 6
The structure shown is built up of two pieces, joined by a hinge at S. It is pin-supported at and roller supported at
and . A force = 40 is applied in the middle of the left part and a vertically distributed load = 30 is applied
on the right part. Set = 5 .
Part A
Calculate the internal moment at B (in kNm). Use the sign convention from the figure. Hint: Solve using the principle
of virtual work and use previously mastered methods to check your answer.
Express your answer with the appropriate units.
ANSWER:
Part B
Calculate the vertical reaction force at support A (upwards positive). Hint: Solve using the principle of virtual work
and use previously mastered methods to check your answer.
ANSWER:
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7. Statics 2013/2014 - COZ Block 7 - Problem 7
The frame shown is held in place by a hinge in A and a roller in G. It is loaded by a couple = 6 in B, a force
= 4 in D and a distributed force = 2 on section EG. Set = 2 .
Part A
Calculate normal force in E. Use the correct signs for tension and compression. Hint: Solve using the principle of
virtual work and use previously mastered methods to check your answer.
Express your answer with the appropriate units.
ANSWER:
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8. Statics 2013/2014 - COZ Block 7 - Problem 8
Part A
The vent plate is supported at by a pin. If it weighs 89 and has a center of gravity at , determine the stiffness
of the spring so that the plate remains in equilibrium at . The spring is unstretched when .
Express your answer with the appropriate units.
ANSWER:
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9. Statics 2013/2014 - COZ Block 7 - Problem 9
The frame in the figure is supported by a hinge in A and a roller in G. It is loaded by a couple 4 in D, a force =
8 in B and a distributed force 7 on section EG. Set = 4 .
Part A
Calculate the internal shear force in point C, using the sign convention of the figure. Hint: Solve using the principle of
virtual work and use previously mastered methods to check your answer.
Express your answer with the appropriate units.
ANSWER:
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