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
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
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe4899715-7b29-4e9a-bb7f-fb1e268e3c63%2F265f46bf-bf76-4ba0-82ba-64e4528f0e8a%2F5mpbwd6_processed.png&w=3840&q=75)
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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