CIVE205 2022F - Assignment 4-
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1 | P a g e Department of Civil Engineering and Applied Mechanics CIVE 205: Statics Fall 2022 Instructor: Prof. Luc E. Chouinard TA: Nada Zod, nada.zod@mail.mcgill.ca Assignment #4 Due Date: October 3
rd
, 09:00 am Problem 1 (20 points) The uniform beam has a mass of 50 Kg per meter of length. Compute the reactions at support O. The force loads shown lie in a vertical plane.
CIVE 205: Statics - Assignment 4 Fall 2022 2 | P a g e Problem 2 (20 points) The device shown is designed to apply pressure when bonding laminate to each side of a countertop near an edge. If a 30-lb force is applied to the handle, determine the force which each roller exerts on its corresponding surface. Problem 3 (20 points) To test the deflection of the uniform 200-lb beam the 120-lb boy exerts a pull of 40 lb on the rope rigged as shown. Compute the force supported by the pin at the hinge O
.
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Related Questions
Instructions: Answer the following questions and
provide a comprehensive solution that can be
understand by a first year Civil Engineering Student.
Situation 1:
2.5m
B
2.5 m
400 N
1) Ay =
2) BH =
3) CH =
4) By=
5) Cv =
1.5 m-
-2m-
1.5 m
2m
1.5 m
-300 N
-300 N
Determine the horizontal and vertical components of
force which the pins at A, B, and C exert on member
ABC of the frame.
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Calculate three support reaction at fixed support A
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L+I 7
(ab)" a-bm
f
2
1
TY –314
-
2- 6 STATICS ENGINEERS MECHANICS
CHAPTER Lecture Notes:
= m
%3D
EXAMPLE:
22
einber
6O
3.45 m
1.25 m
+ 3
Pz
1.85 m
1
1.22 m
Wa120 IN
A weight W• 120 kM is being supported by steel sections
with force T. force
and force C. The coordinates of A.
B. C. and D are given. Assume that E is the origin (0.0.0).
Determine Forces T. F, and C.
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ZAIN IQ
36
Asiacell
YE
docs.google.com/forms/ A
السؤال الاول) 40ا درجة(
Q1: The horizontal rigid beam ABCD is supported by
vertical bars BE and CF and is loaded by vertical forces
P = 400 kN and P2 = 360 kN acting at points A and D,
respectively (see figure). Bars BE and CF are made of
steel (E = 200 GPa) and have cross-sectional areas
ABE = 11,100 mm and Acr = 9,280 mm?. The distances
between various points on the bars are shown in the figure.
Determine the vertical displacements 8A and dp of
points A and D, respectively.
E1.5 m -1.5 m 2.1 m
A.
D
P = 400 kN
2.4 m
P2 = 360 kN
0.6 m
قم برفع اجابة السؤال الأول من هنا *
إضافة ملف
السؤال الثاني: )30 درج
/ طلب الإذن بالتعدیل
Q2:The solid aluminum shaft has a diameter of 50 mm.
Datermine the ahenlute mavimum ehear etrace in the chaft and
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Solve the following problems:
1. Determine the force in each bar of the truss shown in figure caused by lifting the 120 – lb load
at constant velocity of 8 4. what change in these forces, if any, results from placing the roller
support at D and the hinge support at A?
8
A
8.
P
120-lb
Paint X lite
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2:01 l
43
classroom.google.com/l
8
ARIG Open with ▼
20
QUIZ #3 - ET
Michael Forton: 1:59 PM
100 points
Due 5:15 PM.
LQ.3. Given that L = 150 lb, (a) determine the force in
bars GH, CH and HI.
5 panels at 4'
L
L
L
L
E
D
C
3'
4'
3'
7'
A
F
H
12'
В
SQ2-Q3-ET.png
Image
LQ3-Q3-ET.png
Image
+
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docs.google.com/forms
Calculate the deflection at point C by
using Unit Load Method for the beam
below *
10kN
5kN/m
lAc=4*105 mm4
8kN
Ico=8*106 mm
D
A
E=200MPA
2m
1 Add File
For the floor beam system shown in
the figure below, draw the I.L. for the
reaction at C due to the shown
locomotive.
20 kN
20 KN
10 kN
gap
(2
8 m
2 m
B
8 m
4 m
1 Add File
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TP Quiz: Module 2 Quiz
8/quizzes/332866/take/questions/4602489
Question 4
3 pts
11 kN
9 kN
8 kN
2.4m
5.1m
3.7m
2.1m
13.3m
Ax
Ay
By
A beam has the following forces acting on it as shown. Support A is pin support (2 reactions)
and support B is a roller support (1 reaction).
Calculate the following:
1) By in kN
98%
26°C Partly cloua
F10
F11
F12
Insert
PriSc
F5
F6
F7
F8
F9
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How is Fmn (force of MN) equal to -350.06 N?
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1- For the beam shown in the figure below:
a Replace the loading system with an equivalent resultant force and couple moment
at point A.
b) Replace the loading system with an equivalent resultant force and couple moment
at point B.
650 N
30°
1500 Nm
TH
300 N
-3 m-
-5 m-
500 N
60
-2 m
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9-
What is support reaction force (kN) at support A?
20 kN
3m
1,5 m
Bos birak
體 GSI
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..ll.l?
10:39 AM
A @ 52%
QUIZ_1.pdf
QUIZ #1
PROBLEM SOLVING:
1. The resultant of the 50-lb and 30-lb forces is R. If R = 65 lb, determine the angles
a and B.
R
50 lb
30 lb
2. Determine the resultant of the line load acting on the beam ABC.
1200 Ib/ft
y
1700 Ib/ft
6 ft
8ft
3. The crate weighing 400 Ib is supported by three ropes concurrent at B. Find the
forces in ropes AB and BC if P =460 Ib.
60°
B
↑ 30°
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SFD and BMB for points loads (Graphical Method) Mechanics of materials and structure civil engineering
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MEE1004 Mechanics of Materials
Tutorial Problems (eligible for coursework submission):
1. The cantilever beam in Figure 1 is fixed at A, and is loaded with a distributed load from A
to B and a concentrated moment at C.
Use the GRAPHICAL METHOD to plot the shear force and bending moment diagrams for the
entire length of the beam. Label values at all key locations on the plots (at changes in loads,
maxima, minima, and zeroes).
Annotate your diagrams to explain how they were drawn (e.g. "AQAB = (-12 kN/m)(1 m) =
-12 kN" and "(dQ/dx)AB = -12 kN/m").
12 kN/m
Tutorial S5: Beam Analysis: Graphical
1 m
B
0.5 m
Figure 1.
5 kNm
0.5 m
D
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urses
MIME3 130 / 10. SECTION ASSESSMENTS Homework - Semester
AY 2020 - 2021
Moving Forward
A beam has a bending moment of 2 kN-m applied to a section with a hollow circular
cross-section of external diameter 3.9 cm and internal diameter 2 cm. The modulus of
elasticity for the material is 210 x 10° N/m2. Calculate the radius of curvature and
maximum bending stress. Also, calculate the stress at the point at 0.8 cm from the
neutral axis
Solution:
(i) The moment of inertia =
ii) The radius of curvature is
(iii) The maximum bending stress is
iv) The bending stress at the point 0.8 cm from the neutral axis is
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1- For the beam shown in the figure below:
aReplace the loading system with an equivalent resultant force and couple moment
at point A.
b) Replace the loading system with an equivalent resultant force and couple moment
at point B.
650 N
30°
1500 Nm
TH
300 N
-3 m-
-5 m-
500 N
60
-2 m
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B
A
4000
a = 5 m
b = 5 m
c=1m
d=3m
2
F₂ = 6 kN
y = 2
KN
m
KN
12=1=
2
m
F₁ = 7.5 kN M = 40 kN-m
14000
R35000
0001
•B
200
tuntumbad
1
IA
Determine the Reaction Force, and Reaction Moment at point A of the beam.
1000
1
100 X 1100
R50
DETAIL A
SCALE 1:50
B
A
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5.0 The truss figure shown is pinned to the wall at point F, and supported by a roller at point C.
Calculate the reactions at the supports.
4 m
5 m
4 m
B
4 m
80 kN
60 kN
Figure T-04
MATHalino.com
MATHalino.com
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SFD and BMD for moment load (Graphical Method) Mechanics of material and structure civil engineering (7)
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NEED HELP PLEASE!!
Two wood beams, each of rectangular cross section (3.0 in x 4.0 in, actual dimensions) are glued together to form a solid beam of dimensions 6.0 in x 4.0 in (see the figure). The beam is simply supported with a span of 8 ft.
What is the maximum moment Mmax that may be applied at the left support if the allowable shear stress in the glued joint is 200 psi? (Include the effects of the beam's own weight, assuming that the wood weighs 35 lb/ft^3.) Round your answer to one decimal place.
Repeat part (a) if Mmax is based on allowable bending stress of 2500 psi. Round your answer to two decimal places.
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Figure A1 below shows a simply supported beam and a single sided overhanging beamwhich is loaded with point loads and uniformly distributed load. Rajah A1 menunjukkan sebuah rasuk tertupang mudah dan rasuk julur sisi yangdibebankan dengan beban-beban tumpu dan beban teragih seragam.(i) Calculate the reactions at support A and B. Kirakan daya-daya tindakbalas pada tupang A dan B.
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Question # 3: The built-up beam is formed by welding together the thin plates of thickness 5 mm. Determine
the location of the shear center O.
Quest
J
200 mm 200 mm
5 mim
#
300mm
100mm 100mm
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Homework 2
Two pipes of same thickness and cross section area are subjected to the same
twisting moment which one is stiffer?
Mt
b
t
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3. The roof truss is subjected to the loadings shown. Determine the force in each member and
indicate if the members are in tension or compression. Approximate each joint as a pin.
200 N
C
O 00
300 N
300 N
1.5 т
D
0000
B.
4 m
F
3 т
E
H
3 m
3 т
G
O o o
O 00
3 m
A
7o 00
Paint X lite
150 N
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0131% D 14:19
8.8
TNT Wi-Fi voWiFi
•4* K/s
a. Which of the following
is the most stressed leg(s)?
b. If the capacity of each
leg is 25 kn, what is the safe
value of W?
c. Determine the axial
force on leg AD if the maximum
safe value of W is applied.
SITUATION 4. Knowing that do =
3m, determine the following:
2m,
3m
3m
de
id
4m
B
DI
5kN
5kN
10KN
a. Distance dɛ
b. Reaction at E
c. Total length of cable.
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20
You are not provided the free-body diagram for
the beam associated with the internal shear force
diagram shown. Given the diagram, which internal
bending moment diagram COULD be correct?
O Diagram A
Diagram B
O Diagram C
O Diagram D
DIAGRAMA
AMD
4
X'D
DIAONAMI
THARAMD
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P.V.M=
Submit
P
IVO A2 Ivec
Previous Answers
185 mm
2700 N
K
X Incorrect; Try Again; 5 attempts remaining
Cy
M
V
60°
Part C - Calculate the magnitudes of the internal force and moment reactions on the internal plane where K is
located
Using the free-body diagram from Part A, calculate the magnitudes of P, V, and M. the internal loads that act on the cross
section where K is located (Eigure 2)
Express your answers in Newtons and N
▸ View Available Hint(s)
DA
m, to three significant figures separated by commas.
C CHE ?
KI
NNN-m
B
75 mm
50 mm
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The pipe assembly is subjected to a force of 600 N
at B.
150 mm
150 mm
Part A
400 mm
B
60°
30°
600 N
500 mm
Tap image to zoom
Determine the magnitude of the resultant internal
normal force acting on the cross section at C.
Express your answer to three significant
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Figure 2 below shows an L-shaped steel in one of the numerous steel-sections of the
high-rise Tun Razak Exchange Tower in Kuala Lumpur. Replace all the loadings with
an equivalent resultant force and couple moments on point B and;
(a) Find the resultant force systems.
(b) Calculate the direction angles of the resultant force systems.
(c) Determine the resultant moment at point B.
(d) In your own words, explain and discuss what an equivalent system is.
50N/m
50N/m
4m
6m
100N/m.
60°
Figure 2
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Homework 2
Two pipes of same thickness and cross section area are subjected to the same
twisting moment which one is stiffer?
M.
Mt
R
t
b
b
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m.ecollege.com/course.html?courseld317277540&OpenVellumHMAC=feaa487bb20ce8f39ce96d0c36a22864#10001
Update :
Part A
Consider the beam shown in (Figure 1). EI is constant.
Suppose that P = 14 kN and w = 7 kN/m
Determine the reaction at the support (1) measured upward,
Express your answer to three significant figures and include the appropriate units.
Enter positive value if the force is upward and negative value if the force is
downward.
Figure
1 of 1
HA
Qo = 5.35
kN
6.
Submit
Previous Answers Request Answer
2
X Incorrect; Try Again; 28 attempts remaining
2 m
-1 m
Part B
P Pearson
Copyright © 2022 Pearson Education Inc. All rights reserved. | Terms of Use
Privacy Policy | Permissions| Contact Us|
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The figure shown is a built-up cross section composed of C-shaped and W-shaped steel beams attached
by bolts of % in. diameter. It is a 20 ft simply supported beam subjected to a uniform loading of 411 Ib/ft
throughout its span and a concentrated load, P (in Ib), at the midspan.
a) Compute for the moment of Inertia of the cross section
b) Determine the maximum bending stress in the beam.
c) Calculate the spacing of bolts if its allowable shearing stress is 5000 psi.
GIVEN:
P = 65.0 kips
E = 29000 ksi
С8X11.5
W8x28
C8X11.5
W
A
d
br
tw
x(bar)
ly
ry
AISC_Manual_Label
Ibs/ft
in
in
in
in
in
in
in
in
in
in
C8X11.5
11.5
3.37
8.00
2.26
0.220
0.390
0.572
32.5
3.11
1.31
0.623
W
A
d
tw
ry
AISC_Manual_Label
Ibs/ft
in?
in
in
in
in
in
in
in
in
W8X28
28.0
8.25
8.06
6.54
0.285
0.465
98.0
3.45
21.7
1.62
Ik
Y
X--x
tw-
k
eo bf
Хр
bf
PNA
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4. A copper bar 250 mm long and 50mmx50mm in cross-section is subjected to
an axial pull in the direction of its length. If the increase in volume of the bar is
37.5 mm', find the magnitude of the pull. Take p-0.25 and E-100GPA. Answer:
P-30 KN.
5. A steel bar 50mmx50mm in cross-section is 1.2 m long. It is subjected to an
axial pull of 200 KN. What are the changes in length, width and volume of the
bar, if the value of Poisson s ratio is 0.3 ? Take E as 200 GPa. Answer
Al-0.48mm, Ab-0.006mm and AV-480 mm'.
6. A reetangular bar 500 mm long and 100mmx50mm in cross-section is
subjected to forces as shown in figure. What is the change in the volume of the
bar? Take modulus of elasticity for the bar material as 200 GPa and p-0.25.
Answer :AV-137.5 mm'.
300 KN
100 KN
50
100
200 KN
500 mm
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Related Questions
- Instructions: Answer the following questions and provide a comprehensive solution that can be understand by a first year Civil Engineering Student. Situation 1: 2.5m B 2.5 m 400 N 1) Ay = 2) BH = 3) CH = 4) By= 5) Cv = 1.5 m- -2m- 1.5 m 2m 1.5 m -300 N -300 N Determine the horizontal and vertical components of force which the pins at A, B, and C exert on member ABC of the frame.arrow_forwardCalculate three support reaction at fixed support Aarrow_forwardL+I 7 (ab)" a-bm f 2 1 TY –314 - 2- 6 STATICS ENGINEERS MECHANICS CHAPTER Lecture Notes: = m %3D EXAMPLE: 22 einber 6O 3.45 m 1.25 m + 3 Pz 1.85 m 1 1.22 m Wa120 IN A weight W• 120 kM is being supported by steel sections with force T. force and force C. The coordinates of A. B. C. and D are given. Assume that E is the origin (0.0.0). Determine Forces T. F, and C.arrow_forward
- ZAIN IQ 36 Asiacell YE docs.google.com/forms/ A السؤال الاول) 40ا درجة( Q1: The horizontal rigid beam ABCD is supported by vertical bars BE and CF and is loaded by vertical forces P = 400 kN and P2 = 360 kN acting at points A and D, respectively (see figure). Bars BE and CF are made of steel (E = 200 GPa) and have cross-sectional areas ABE = 11,100 mm and Acr = 9,280 mm?. The distances between various points on the bars are shown in the figure. Determine the vertical displacements 8A and dp of points A and D, respectively. E1.5 m -1.5 m 2.1 m A. D P = 400 kN 2.4 m P2 = 360 kN 0.6 m قم برفع اجابة السؤال الأول من هنا * إضافة ملف السؤال الثاني: )30 درج / طلب الإذن بالتعدیل Q2:The solid aluminum shaft has a diameter of 50 mm. Datermine the ahenlute mavimum ehear etrace in the chaft andarrow_forwardSolve the following problems: 1. Determine the force in each bar of the truss shown in figure caused by lifting the 120 – lb load at constant velocity of 8 4. what change in these forces, if any, results from placing the roller support at D and the hinge support at A? 8 A 8. P 120-lb Paint X litearrow_forward2:01 l 43 classroom.google.com/l 8 ARIG Open with ▼ 20 QUIZ #3 - ET Michael Forton: 1:59 PM 100 points Due 5:15 PM. LQ.3. Given that L = 150 lb, (a) determine the force in bars GH, CH and HI. 5 panels at 4' L L L L E D C 3' 4' 3' 7' A F H 12' В SQ2-Q3-ET.png Image LQ3-Q3-ET.png Image +arrow_forward
- docs.google.com/forms Calculate the deflection at point C by using Unit Load Method for the beam below * 10kN 5kN/m lAc=4*105 mm4 8kN Ico=8*106 mm D A E=200MPA 2m 1 Add File For the floor beam system shown in the figure below, draw the I.L. for the reaction at C due to the shown locomotive. 20 kN 20 KN 10 kN gap (2 8 m 2 m B 8 m 4 m 1 Add Filearrow_forwardTP Quiz: Module 2 Quiz 8/quizzes/332866/take/questions/4602489 Question 4 3 pts 11 kN 9 kN 8 kN 2.4m 5.1m 3.7m 2.1m 13.3m Ax Ay By A beam has the following forces acting on it as shown. Support A is pin support (2 reactions) and support B is a roller support (1 reaction). Calculate the following: 1) By in kN 98% 26°C Partly cloua F10 F11 F12 Insert PriSc F5 F6 F7 F8 F9arrow_forwardHow is Fmn (force of MN) equal to -350.06 N?arrow_forward
- 1- For the beam shown in the figure below: a Replace the loading system with an equivalent resultant force and couple moment at point A. b) Replace the loading system with an equivalent resultant force and couple moment at point B. 650 N 30° 1500 Nm TH 300 N -3 m- -5 m- 500 N 60 -2 marrow_forward9- What is support reaction force (kN) at support A? 20 kN 3m 1,5 m Bos birak 體 GSIarrow_forward..ll.l? 10:39 AM A @ 52% QUIZ_1.pdf QUIZ #1 PROBLEM SOLVING: 1. The resultant of the 50-lb and 30-lb forces is R. If R = 65 lb, determine the angles a and B. R 50 lb 30 lb 2. Determine the resultant of the line load acting on the beam ABC. 1200 Ib/ft y 1700 Ib/ft 6 ft 8ft 3. The crate weighing 400 Ib is supported by three ropes concurrent at B. Find the forces in ropes AB and BC if P =460 Ib. 60° B ↑ 30°arrow_forward
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