(a) Is the beam statically determinate or statically indeterminate? If statically indeterminate, determine the degree of statical indeterminacy of the beam. (b) Using method of consistent deformations together with double integration method, write the equation of the elastic curve of the beam and draw its shear and bending moment diagram. (c) Using the results from (b), determine the magnitude of the deflection of the beam at the unsupported end.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Please kindly answer the number 5. Thank you
(Situation 4) Consider the following plane truss as shown:
8 kN
A
A
4 m
-3 m
16 kN
E
B
Members AE, ED, and BC have circular cross-sections with diameter 20 mm, while AB, EB, and EC have rectangular cross-sections with dimensions
25 mm by 15 mm. All members are made of steel (E = 200 GPa; a = 1.10 x 10-5 per °C). The diagonal members are fabricated such that they are 3
mm too short. The horizontal members are subjected to a change of temperature of +40°C. Using Castigliano's theorem, determine the vertical
displacement at B due to combined effects of the loading, temperature change, and fabrication errors.
(Situation 5) Consider the following beam:
W
2 B
3 m
El= constant
C
L/2
(a) Is the beam statically determinate or statically indeterminate? If statically indeterminate, determine the degree of statical indeterminacy of the
beam.
(b) Using method of consistent deformations together with double integration method, write the equation of the elastic curve of the beam and draw its
shear and bending moment diagram.
(c) Using the results from (b), determine the magnitude of the deflection of the beam at the unsupported end.
Transcribed Image Text:(Situation 4) Consider the following plane truss as shown: 8 kN A A 4 m -3 m 16 kN E B Members AE, ED, and BC have circular cross-sections with diameter 20 mm, while AB, EB, and EC have rectangular cross-sections with dimensions 25 mm by 15 mm. All members are made of steel (E = 200 GPa; a = 1.10 x 10-5 per °C). The diagonal members are fabricated such that they are 3 mm too short. The horizontal members are subjected to a change of temperature of +40°C. Using Castigliano's theorem, determine the vertical displacement at B due to combined effects of the loading, temperature change, and fabrication errors. (Situation 5) Consider the following beam: W 2 B 3 m El= constant C L/2 (a) Is the beam statically determinate or statically indeterminate? If statically indeterminate, determine the degree of statical indeterminacy of the beam. (b) Using method of consistent deformations together with double integration method, write the equation of the elastic curve of the beam and draw its shear and bending moment diagram. (c) Using the results from (b), determine the magnitude of the deflection of the beam at the unsupported end.
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