HW 11 Solutions Virtual Work Method 2023
.pdf
keyboard_arrow_up
School
University of Utah *
*We aren’t endorsed by this school
Course
3210
Subject
Mechanical Engineering
Date
Jan 9, 2024
Type
Pages
7
Uploaded by BarristerRabbit3362
CvEEN-3210
Fall 2023
Homework # 11
HW 11-1
VIRTUAL WORK METHOD
Due date: Monday December 4, 2023 at 9 pm (100 points)
1.
Find the vertical deflection at point C. E = 29,000 ksi.
CvEEN-3210
Fall 2023
Homework # 11
HW 11-2
CvEEN-3210
Fall 2023
Homework # 11
HW 11-3
2.
Use the two virtual work method approaches (direct integration and computation of areas) to
find the vertical deflection at B, and the slope at A of the following steel beam. Assume A is
pinned, B is a roller, and C is a free end. E = 29,000 ksi, and I = 300 in
4
.
Courtesy of Nicholas Anewalt:
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
- Access to all documents
- Unlimited textbook solutions
- 24/7 expert homework help
Related Questions
Need comp fast
arrow_forward
The built-up beam is subjected to a moment of M = 80 kNm.
d₁
d₂
d3
d₁
d5
d3
do
wamap.org
Value
d₂
Values for the figure are given in the following table. Note
the figure may not be to scale.
Variable
128 mm
22 mm
276 mm
11 mm
138 mm
d4
12 mm
M₁
de
d5
a. Determine the distance from the Neutral Axis to the
top of the beam, NA.
b. Determine the mass moment of inertia of the beam, I.
Determine the max compressive stress acting on the
c.
beam, compression.
d. Determine the max tensile stress acting on the beam,
Tin
arrow_forward
10
600 ib
Instruction: Analyze edch structure and sketch a
free body diagram required by each problem.
arrow_forward
13. You wish to raise a 1700 kg steel beam straight up by 50 m. You have a 1000 m long ramp and a pulley system with 10 sets of pulleys and you can use either to lift the steel beam. Which would be the easiest to use?
arrow_forward
Summative Assessment - Virtual Work Method
Determine the Vertical Deflection at point F. Use the Virtual Work Method.
E = 100 GPA, Ainternal = 2000 mm², Aexternal = 2400 mm². Distances are in feet. Show complete
Solutions
WWW
A
15kN
B
E
5
F
12kN
5
5
G
12kN
Technology Driven by Innovation
arrow_forward
arrow_forward
Hello Sir,Good Afternoon.
I have a question in my home work related Statistic Structure lesson, the following below is my question. Please advise. Thnak you so much
arrow_forward
What is meant by beam deflections by the double integration method ؟
arrow_forward
Pls answer thank you!
Find the diameter of a steel line shaft to transmit 10 horsepower at 150 revolutions per minute with a torsional
deflection not exceeding 0.08 degree per foot of length.
arrow_forward
Find roller support reaction
arrow_forward
8. The deflection of a simply supported beam is given by the BVP:
y" – 10-7y = 10-x(x-L)
over 0 SXSL
with y(0) = y(L) = 0
a. Determine the deflection of the beam using the shooting method (if you want to solve this
by hand, use a large step, say h = 10. Otherwise code this and experiment numerically, for
example investigate the effects of different step size. You may also add in Matlab "tic..toc"
as a timer to calculate the time Matlab takes to solve your equation. You can explore how
this time varies with different time steps, for example h D
b. Determine the deflection of the beam using the finite difference method (same comments
as in a.)
10; h = 1; h = 0.1)
arrow_forward
Refer to the table of equations when answering.
arrow_forward
can solves this one ?
arrow_forward
HW #3
04/12/2020
due date. wednesden
Tx=/25 MPa
T2=? uncler Novolume
cheye!
do 10cm
20=0 ( For novalmachaye
Sscm
Socm
N: 0.4
E= 10 k
125-10040z=0
102= -25 MPa
Fz=?
Az 0.2m X0.3m
%3D
Q: Ex=?
final dianeter.
F2 -25M x (200 mx 300)
t2= -1500000N~/500KN
arrow_forward
Chrome
Fichier
Modifier
Afficher
Historique
Favoris
Profils
Onglet Fenêtre
Aide
99 % (4) Mer. 9 juin à 08:12:33
Final Exam (page 13 of 15)
Answered: The beam shown be x
B Sports @ betmobilemoney - Sp x
+
A aust.mrooms.net/mod/quiz/attempt.php?attempt=252873&cmid=116304&page=12
EST
My Courses
Question 13
Not yet answered Marked out of 10
P Flag question
For the cross section shown in the figure, a = 44 mm, b = 117 mm, c = 105 mm,
d = 56 mm. What is the coordinate ỹ of the centroid of the cross section measured from
the lowermost surface?
d
NA
a
C
O 69.2 mm
Time left 1:47:27
JUIN
arrow_forward
Q2\ find the deflection equation for the simply supported with uniform
distribution load using Fourier series method?
P
Ymax
arrow_forward
7
arrow_forward
No gpt,solve in paper sheet.
Free body diagram is must and should.
arrow_forward
Plz
arrow_forward
Question 3
A simply supported beam with the boundary conditions as shown.
An applied load, F is acted at the center of the beam and causes a deflection, y in meter.
Using the value from the Table to plot a graph and using the moment of area and cantilever beam theory to determine the value of
Young's Modulus, E of the beam in N/m².
The following data are obtained in a simple experiment:
F(N)
y(m)
0
0
2.45
0.00043
Given that the moment of area, I=4.572x 10-10m4
The length of the beam, L = 0.25m
FL3
According to the cantilever beam theory: y = -
48EI
14.71
4.9 7.36 9.81 12.26
0.00087 0.00131 0.00175 0.00218 0.00262
F
L/2
40 Points
I
www
arrow_forward
Derive a governing equation of theSDOF System shown under static deflection.
arrow_forward
1. Present solution in personal handwriting. Place final answers in a box.
2. Present detailed drawings/FBD's illustrating your solution.
3ubmissions must be in pdf or jpeg with filename. ME-9SCTION LASTNAME
4. Somit accora epecified schecle andiesation.
5. Deduenons we made for otiAewingstuctions.
PROBLEM 1
Determine the load that can be applied at the end of the rigid bar if the stress
in either spring shown in the figure shall not exceed 200MP..
Spring 1
Spring 2
n
20
30
d.
10mm
20mm
150mm
120mm
G
83GPA
35GPA
2m
arrow_forward
Please Provide correct solution, correct Method.
No Missing steps / calculations.
No Handwriting please
arrow_forward
Department
Answer Sheet
Name:
Date:
Course:
Time:
2.
A Rigid beam with negligqible mass is
pinned at one end and supported
by two ROds, The beam 20as initially
hORIZOntal before the load as appied
Find the ertical moyement of P 4 PIS
120 KN
Pis
Steel
Atuminum
4m
3m
3m
2m.
im
p=120 kN
Alumınum
A=900 mm²
E = 70 GPa
Steel
A= 600mm?
E 200 GPa
arrow_forward
A sling shot was released in a vertical direction using a rubber band having an equivalent spring constant of 2N/mm. If the deflection of the rubber band amounts to 10cm and the mass of the stone is 21g, determine the maximum height (above the undeflected position of the sling) the shot can reach.
a. 35.0506m b. 44.1703m c. 44.2203m d. 48.4413m
arrow_forward
Select the option that best describes the below mechanism.
22.9
22.9
02
B.
4
4.5 typ.
Mechanism
O Structure
O Preloaded structure
O Not enough information is available.
arrow_forward
W
LAB
B
LBC
assume w = 4 kips/ft P= 5kips LAB=16 ft
C
LBC=8 ft
What is the vertical reaction at A ? answer in kips
arrow_forward
SEE MORE QUESTIONS
Recommended textbooks for you
Principles of Heat Transfer (Activate Learning wi...
Mechanical Engineering
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Cengage Learning
Related Questions
- Need comp fastarrow_forwardThe built-up beam is subjected to a moment of M = 80 kNm. d₁ d₂ d3 d₁ d5 d3 do wamap.org Value d₂ Values for the figure are given in the following table. Note the figure may not be to scale. Variable 128 mm 22 mm 276 mm 11 mm 138 mm d4 12 mm M₁ de d5 a. Determine the distance from the Neutral Axis to the top of the beam, NA. b. Determine the mass moment of inertia of the beam, I. Determine the max compressive stress acting on the c. beam, compression. d. Determine the max tensile stress acting on the beam, Tinarrow_forward10 600 ib Instruction: Analyze edch structure and sketch a free body diagram required by each problem.arrow_forward
- 13. You wish to raise a 1700 kg steel beam straight up by 50 m. You have a 1000 m long ramp and a pulley system with 10 sets of pulleys and you can use either to lift the steel beam. Which would be the easiest to use?arrow_forwardSummative Assessment - Virtual Work Method Determine the Vertical Deflection at point F. Use the Virtual Work Method. E = 100 GPA, Ainternal = 2000 mm², Aexternal = 2400 mm². Distances are in feet. Show complete Solutions WWW A 15kN B E 5 F 12kN 5 5 G 12kN Technology Driven by Innovationarrow_forwardarrow_forwardHello Sir,Good Afternoon. I have a question in my home work related Statistic Structure lesson, the following below is my question. Please advise. Thnak you so mucharrow_forwardWhat is meant by beam deflections by the double integration method ؟arrow_forwardPls answer thank you! Find the diameter of a steel line shaft to transmit 10 horsepower at 150 revolutions per minute with a torsional deflection not exceeding 0.08 degree per foot of length.arrow_forwardFind roller support reactionarrow_forward8. The deflection of a simply supported beam is given by the BVP: y" – 10-7y = 10-x(x-L) over 0 SXSL with y(0) = y(L) = 0 a. Determine the deflection of the beam using the shooting method (if you want to solve this by hand, use a large step, say h = 10. Otherwise code this and experiment numerically, for example investigate the effects of different step size. You may also add in Matlab "tic..toc" as a timer to calculate the time Matlab takes to solve your equation. You can explore how this time varies with different time steps, for example h D b. Determine the deflection of the beam using the finite difference method (same comments as in a.) 10; h = 1; h = 0.1)arrow_forwardRefer to the table of equations when answering.arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
Recommended textbooks for you
- Principles of Heat Transfer (Activate Learning wi...Mechanical EngineeringISBN:9781305387102Author:Kreith, Frank; Manglik, Raj M.Publisher:Cengage Learning
Principles of Heat Transfer (Activate Learning wi...
Mechanical Engineering
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Cengage Learning