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=14 kN/m at the AB span and a point force P=35 kN at Point C. The length of AB span is L=4 m and the length of BC span is L₁ =1.6 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 .) L АД Boo L₁ р C
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=14 kN/m at the AB span and a point force P=35 kN at Point C. The length of AB span is L=4 m and the length of BC span is L₁ =1.6 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 .) L АД Boo L₁ р C
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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I need help solving parts a and b on this question:
a) is in the attached picture
b) Use the principle of virtual work to determine the vertical deflection at Point C. (The positive direction of a vertical deflection points upwards) _______ mm
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 area / = 30 x 10-6 m4. The beam is under a uniformly
distributed load q=14 kN/m at the AB span and a point force P=35 kN at Point C. The
length of AB span is L=4 m and the length of BC span is L₁ =1.6 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 .)
L
АД
Boo
L₁
р
C
Transcribed Image Text:The bending moment caused by the real forces as a function of x can be discribed as
For 4 < x≤ (4+1.6 ) 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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