an arks vered arks wered 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. marks wered marks swered 9 (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 .) L + BA L₁ р C

Elements Of Electromagnetics
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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
an area /= 30 x 10-6 m². 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.
harks
wered
marks
swered
marks
nswered
marks
answered
59
(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.)
L
BA
L₁
C
Transcribed Image Text: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 an area /= 30 x 10-6 m². 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. harks wered marks swered marks nswered marks answered 59 (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.) L BA L₁ C
The vertical reaction force at support A can be calculated as
The vertical reaction force at support B can be calculated as
The horizontal reaction force at support A can be calculated as
KN
KN
kN
Part b) Bending moment by real forces_1
Let the origin of the horizontal coordinate x be at the support A and the positive x-axis points to the
right.
The bending moment caused by the real forces as a function of x can be discribed as
For 0≤x≤10 m, (please use units kN.m for bending moment)
(Use for multiplication and for exponentiation. For exmple, 2x + x² can be written as
2*x+x^2)
Part c) Bending moment by real forces_2
The bending moment caused by the real forces as a function of x can be discribed as
For 10 < x≤ (10+4) m, (please use units kN.m for bending moment)
(Use for multiplication and for exponentiation. For exmple, 2x + x² can be written as
2*X+X^2)
Transcribed Image Text:The vertical reaction force at support A can be calculated as The vertical reaction force at support B can be calculated as The horizontal reaction force at support A can be calculated as KN KN kN Part b) Bending moment by real forces_1 Let the origin of the horizontal coordinate x be at the support A and the positive x-axis points to the right. The bending moment caused by the real forces as a function of x can be discribed as For 0≤x≤10 m, (please use units kN.m for bending moment) (Use for multiplication and for exponentiation. For exmple, 2x + x² can be written as 2*x+x^2) Part c) Bending moment by real forces_2 The bending moment caused by the real forces as a function of x can be discribed as For 10 < x≤ (10+4) m, (please use units kN.m for bending moment) (Use for multiplication and for exponentiation. For exmple, 2x + x² can be written as 2*X+X^2)
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