Based on the given equations for the bending moment M(x) applied to the shown beam, determine the vertical deflection of the beam at distances of 1 [m], 2 [m], 2.5 [m] and 3 [m] from the left support. Assume an elastic modulus of E= 200 GPa and the cross-sectional moment of inertia is 1 = 4.5 x 10-6 m². Shear Force [N] Moment [Nm] 400 200 D -200 400 -600 -800 -1000 -1200 1000 800 0 600 400 200 0.5 0.5 2 m 1.5 1.5 Shear Diagram 2 Distance [m] Moment Diagram (2.5,900) 2 Distance (m) 800 N/m 2.5 2 m 2.6 3.5 3.5

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Based on the given equations for the bending moment M(x) applied to the shown beam, determine
the vertical deflection of the beam at distances of 1 [m], 2 [m], 2.5 [m] and 3 [m] from the left
support. Assume an elastic modulus of E= 200 GPa and the cross-sectional moment of inertia is
I= 4.5 x 10-6 m².
Shear Force [N]
400
200
Moment [Nm]
D
-200
-400
-600
-800
-1000
-1200
10
1000
800
600
400
200
D
0.5
0.5
2 m
1
1.5
1.5
(400x
M(x) = {-400x² + 2000x - 1600
Shear Diagram
2
Distance [m]
Moment Diagram
(2.5,900)
2
Distance [m]
800 N/m
2.5
2.6
2 m
if
x < 2
if 2 ≤ x ≤ 4
3
3.5
3
3.5
of S
Transcribed Image Text:Page < Based on the given equations for the bending moment M(x) applied to the shown beam, determine the vertical deflection of the beam at distances of 1 [m], 2 [m], 2.5 [m] and 3 [m] from the left support. Assume an elastic modulus of E= 200 GPa and the cross-sectional moment of inertia is I= 4.5 x 10-6 m². Shear Force [N] 400 200 Moment [Nm] D -200 -400 -600 -800 -1000 -1200 10 1000 800 600 400 200 D 0.5 0.5 2 m 1 1.5 1.5 (400x M(x) = {-400x² + 2000x - 1600 Shear Diagram 2 Distance [m] Moment Diagram (2.5,900) 2 Distance [m] 800 N/m 2.5 2.6 2 m if x < 2 if 2 ≤ x ≤ 4 3 3.5 3 3.5 of S
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