3) The reaction force for the continuous beam with two hinge joints C andD as shown in Figure 3 has been calculated to be as follows:A,=452 kN ( | ); By=1797 kN ( ↑); Ey=3696 kN( ↑ ) ;Fy= 66 kN ( , )* kN /mAF22.5M(5m 2.45m37.5mFigure 3(a) Verify that the above calculated reaction forces arecorrect.(b) It is later discovered that location of hinge joint C has changed from22.5 m to 25.0 m from B. Dimension of span BE remains the same.Determine the percentage change in all reaction forces due to such shiftin location of hinge joint C. Next, draw the shear force and bendingmoment diagram for the continuous beam with the new location ofjoint C. Sketch also the qualitative deflected shape.nge

A continuous beam is generally a beam that has more than two supports, is statically indeterminate.…

3) The reaction force for the continuous beam with two hinge joints C and D as shown in Figure 3 has been calculated to be as follows: A,=452 kN ( ); B,=1797 kN ( ↑ ) ; Ey=3696 kN( ↑ ) ;Fy= 66 kN ( 1 ) 44 kN/m F

3) The reaction force for the continuous beam with two hinge joints C and D as shown in Figure 3 has been calculated to be as follows: A,=452 kN ( ); B,=1797 kN ( ↑ ) ; Ey=3696 kN( ↑ ) ;Fy= 66 kN ( 1 ) 44 kN/m F

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Matrix Algebra for Structural analysis

Structural analysis is a process in which the effects of different loads and internal forces, acting on structures and their elements are determined. This method of analysis is effective in detecting the failure loads of the structural elements and the design can be altered before commencing the construction process, which ensures proper strength and safety of the structures.

Question

3) The reaction force for the continuous beam with two hinge joints C and
D as shown in Figure 3 has been calculated to be as follows:
A,=452 kN ( | ); By=1797 kN ( ↑); Ey=3696 kN( ↑ ) ;Fy= 66 kN ( , )
* kN /m
A
F
22.5M
(5m 2.
45m
37.5m
Figure 3
(a) Verify that the above calculated reaction forces are
correct.
(b) It is later discovered that location of hinge joint C has changed from
22.5 m to 25.0 m from B. Dimension of span BE remains the same.
Determine the percentage change in all reaction forces due to such shift
in location of hinge joint C. Next, draw the shear force and bending
moment diagram for the continuous beam with the new location of
joint C. Sketch also the qualitative deflected shape.
nge

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Use the graphical method to construct the bending-moment diagram and identify the magnitude of the largest moment (consider both positive and negative). The ground reactions and the shear-force diagram are provided. M = 14 kN-m Ay = 3.54 kN Dy = 32.46 kN Units: KN Ay M 4m 33.8 kN-m O 31.52 kN-m O 44.0 kN-m O 22.3 kN-m O 36.3 kN-m B Ay 4 m 15 kN C Ay 4 m A,-15 7 kN/m D 21 3 m A₁-15 E X
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