Q5 A two-span continuous beam is loaded with a concentrated force at point C and a uniformly distributed load at span AB, as shown in Fig. Q5. The support at point A settles 12 mm. Young's modulus is F= 200 GPa, and the moment of inertia of the beam is I= 500×105 mm*. (1) Prove that the beam is statically indeterminate to 1st degree. (2) Use the Force Method to determine support reactions at A, B and D. (3) Draw the shear force and bending moment diagrams for the beam 12 mm settlement 3 kN/m 4 m Fig. Q5 B 2 m 4 kN + 2 m

Structural Analysis
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Chapter2: Loads On Structures
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Q5 A two-span continuous beam is loaded with a concentrated force at point C and a uniformly
distributed load at span AB, as shown in Fig. Q5. The support at point A settles 12 mm.
Young's modulus is F= 200 GPa, and the moment of inertia of the beam is I= 500×105 mm*.
(1) Prove that the beam is statically indeterminate to 1st degree.
(2) Use the Force Method to determine support reactions at A, B and D.
(3) Draw the shear force and bending moment diagrams for the beam
12 mm
settlement
3 kN/m
4 m
Fig. Q5
B
2 m
4 kN
+
2 m
Transcribed Image Text:Q5 A two-span continuous beam is loaded with a concentrated force at point C and a uniformly distributed load at span AB, as shown in Fig. Q5. The support at point A settles 12 mm. Young's modulus is F= 200 GPa, and the moment of inertia of the beam is I= 500×105 mm*. (1) Prove that the beam is statically indeterminate to 1st degree. (2) Use the Force Method to determine support reactions at A, B and D. (3) Draw the shear force and bending moment diagrams for the beam 12 mm settlement 3 kN/m 4 m Fig. Q5 B 2 m 4 kN + 2 m
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