d d For the beam shown in Fig.Q4, use the principle of virtual work to determine (1) the vertical deflection at Point C, and (2) the rotation at the right-hand bearing (Point B). The Young's modulus of the material is E= 200 GPa. The cantilever beam has a circular cross section with the second moment of area /= 30 x 10-6 m4. The beam is under a uniformly distributed load q=15 kN/m at the AB span and a point force P=31 kN at Point C. The length of AB span is L=10 m and the length of BC span is L₁ =4 m. (In this question, we assume (1) the positive direction of a vertical force points upwards; (2) the positive direction of a horizontal force points to the right; and (3) the postive direction of an applied moment is clockwise.) A L Boo L₁ C р

Structural Analysis
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Chapter2: Loads On Structures
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Solid mechanics
d
d
For the beam shown in Fig.Q4, use the principle of virtual work to determine (1) the vertical deflection
at Point C, and (2) the rotation at the right-hand bearing (Point B). The Young's modulus of the
material is E= 200 GPa. The cantilever beam has a circular cross section with the second moment of
area /= 30 x 10-6 m4. The beam is under a uniformly distributed load q=15 kN/m at the AB span and
a point force P=31 kN at Point C. The length of AB span is L=10 m and the length of BC span is L₁ =4
m.
(In this question, we assume (1) the positive direction of a vertical force points upwards; (2) the
positive direction of a horizontal force points to the right; and (3) the postive direction of an applied
moment is clockwise.)
A
L
Boo
L₁
C
р
Transcribed Image Text:d d For the beam shown in Fig.Q4, use the principle of virtual work to determine (1) the vertical deflection at Point C, and (2) the rotation at the right-hand bearing (Point B). The Young's modulus of the material is E= 200 GPa. The cantilever beam has a circular cross section with the second moment of area /= 30 x 10-6 m4. The beam is under a uniformly distributed load q=15 kN/m at the AB span and a point force P=31 kN at Point C. The length of AB span is L=10 m and the length of BC span is L₁ =4 m. (In this question, we assume (1) the positive direction of a vertical force points upwards; (2) the positive direction of a horizontal force points to the right; and (3) the postive direction of an applied moment is clockwise.) A L Boo L₁ C р
S
ed
KS
ed
ks
red
Part d) Vertical defection at Point c
Use the principle of virtual work to determine the vertical deflection at Point C. (the positive
direction of a vertical deflection points upwards)
mm
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Part e) Rotation_at_B
Use the principle of virtual work to determine the rotation at Support B. (The positive direction of a
rotation is clockwise. Please present your result to 4 decimal places.)
Radian
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Transcribed Image Text:S ed KS ed ks red Part d) Vertical defection at Point c Use the principle of virtual work to determine the vertical deflection at Point C. (the positive direction of a vertical deflection points upwards) mm Show steps (Your score will not be affected.) Part e) Rotation_at_B Use the principle of virtual work to determine the rotation at Support B. (The positive direction of a rotation is clockwise. Please present your result to 4 decimal places.) Radian Show steps Submit part (Your score will not be affected.)
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