Please help on the question in the photo using the table also attached 15 kN30 kN/mDetermine the maximum deflection of the cantilevered beam. The beam is made ofmaterial having an E = 200 GPa and I = 65 * 106 mm4.A-1.5 m-- 1.5 mIncorrectUmarNumberCorrect Answer: 12.916154 + 2.0% DeflectionElastic CurveBeamSlopeP- PL-PxVmax-PL(3L – x)v =Omax2EIUmax3EI6EIO max-Px?(3L – 2x) 0 < x< L/212EIV =Vmax-PL?-5PL3Omax8EIVmax48EI-PL?(6x – L) L/2 << L48EIv =emax-wx?(x² – 4Lx + 6L)24EI-wL?-wLUmaxv =OmaxUmax8EI6EImax.OmaxMoLMəL?Mox?V =OmaxUmax2EI2EIMo VmaxEI-wx?(x² – 2Lx + L²)V =24EIVmax0

Answered: Image /qna-images/answer/1398eeb3-fa9c-4669-afe3-a2bfece49fb9.jpg

15 kN 30 kN/m Determine the maximum deflection of the cantilevered beam. The beam is made of material having an E = 200 GPa and I = 65 • 106 mmª. A -1.5 m- 1.5 m Incorrect Umar Number Correct Answer: 12.916154 ± 2.0%

15 kN 30 kN/m Determine the maximum deflection of the cantilevered beam. The beam is made of material having an E = 200 GPa and I = 65 • 106 mmª. A -1.5 m- 1.5 m Incorrect Umar Number Correct Answer: 12.916154 ± 2.0%

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter9: Deflections Of Beams

Section: Chapter Questions

Problem 9.9.7P: The cantilever beam A CB shown in the hgure is subjected to a uniform load of intensity q acting...

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Concept explainers

Engineering Drawing

Technical drawing has been around since ancient times. As in the ancient Renaissance, complicated drawings were created, including Leonardo da Vinci's drawing. Modern engineering drawing, including its specific orthographic projection with scale conventions, began in Europe (France) during the early stages of Industrialization. L.T. C. Rolt also made some of Marc's drawings for its block-making machinery (in 1799) that also may have contributed significantly to British engineering technology. Since he learned the art of presenting three-dimensional(3D) items in a two-dimensional(2D) plane, as we now term mechanical drawing. 

Question

Please help on the question in the photo using the table also attached

15 kN
30 kN/m
Determine the maximum deflection of the cantilevered beam. The beam is made of
material having an E = 200 GPa and I = 65 * 106 mm4.
A
-1.5 m-
- 1.5 m
Incorrect
Umar
Number
Correct Answer: 12.916154 + 2.0%

Deflection
Elastic Curve
Beam
Slope
P
- PL
-Px
Vmax
-PL
(3L – x)
v =
Omax
2EI
Umax
3EI
6EI
O max
-Px?
(3L – 2x) 0 < x< L/2
12EI
V =
Vmax
-PL?
-5PL3
Omax
8EI
Vmax
48EI
-PL?
(6x – L) L/2 << L
48EI
v =
emax
-wx?
(x² – 4Lx + 6L)
24EI
-wL?
-wL
Umax
v =
Omax
Umax
8EI
6EI
max
.Omax
MoL
MəL?
Mox?
V =
Omax
Umax
2EI
2EI
Mo Vmax
EI
-wx?
(x² – 2Lx + L²)
V =
24EI
Vmax
0 <x< L/2
-wL
-7wL
Omax
Umax
384EI
-wL
48EI
v =
(8x – L)
max
384EI
L/2 < x < L
Wo
-w,L
-wo.x?
-woL
Omax
Umax
(10L – 101?x + 5Lx? – x³)
v =
Umax
30EI
120EIL
24EI
0 max
||

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