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Daytona State College *
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EGN3311
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Mechanical Engineering
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Feb 20, 2024
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EGN3311: Statics Assignment 4 Professor Mehrabian
1
Important Instructions and Requirements: 1.
Solve the following problems and take Quiz 4 (from Assignment 4) during its availability period. Selected or all of the problems of this assignment are included in Quiz 4 and will be graded accordingly. 2.
All problems of each assignment must be solved by hand and kept for your records for your future references and studying. You may use your solutions during the quiz since the quiz is open-book, open-notes.
3.
Assignments are provided to help you learn, review, and apply the materials covered in the lectures. The assignments are intended to help the student develop skills in the course concepts as well as for partially assessing your performance in the course. 4.
The course includes multiple assignments utilizing major course concepts and topics. They are assigned according to the course topics and subjects and the course objectives. 5.
Learners are encouraged to collaborate, to discuss and to debate course concepts. However, this is an individual assignment and MUST be completed individually. 6.
Use engineering and scientific principles and your critical thinking skills. 7.
Units, Units, Units. Don’t forget them!
8.
Any questions, comments, and ambiguities should be addressed by email to Dr. Mehrabian via course website, or for discussions see him during his office hours. If you are unable to observe the office hours, please send an email to arrange a time.
EGN3311: Statics Assignment 4 Professor Mehrabian
2
7-16 Determine the internal normal force, shear force, and moment in the cantilever beam at point B
.
EGN3311: Statics Assignment 4 Professor Mehrabian
3
7-20 Determine the internal normal force, shear force, and moment at points D
and E
in the compound beam. Point E
is located just to the left of the 10-kN concentrated load. Assume the support at A
is fixed and the connection at B
is a pin.
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EGN3311: Statics Assignment 4 Professor Mehrabian
4
7-24 Determine the internal normal force, shear force, and moment at points F
and E
in the frame. The crate weighs 300 lb.
EGN3311: Statics Assignment 4 Professor Mehrabian
5
7-40 Draw the shear and moment diagrams for the beam (a) in terms of the parameters shown; (b) set P = 800 lb.
, a = 5 ft., L = 12 ft.
EGN3311: Statics Assignment 4 Professor Mehrabian
6
7-48
Draw the shear and moment diagrams for the overhang beam.
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EGN3311: Statics Assignment 4 Professor Mehrabian
7
8-4 If the coefficient of static friction at A
is μ
s
= 0.4 and the collar at B
is smooth so it only exerts a horizontal force on the pipe, determine the minimum distance x
so that the bracket can support the cylinder of any mass without slipping. Neglect the mass of the bracket.
EGN3311: Statics Assignment 4 Professor Mehrabian
8
8-8 The uniform pole has a weight of 30 lb. and a length of 26 ft. Determine the maximum distance d
it can be placed from the smooth wall and not slip. The coefficient of static friction between the floor and the pole is μ
s
= 0.3.
EGN3311: Statics Assignment 4 Professor Mehrabian
9
8-20 Two blocks A
and B
have a weight of 10 lb. and 6 lb., respectively. They are resting on the incline for which the coefficients of static friction are μ
A
= 0.15 and μ
B
= 0.25. Determine the angle Ɵ
which will cause motion of one of the blocks. What is the friction force under each of the blocks when this occurs? The spring has a stiffness of k = 2 lb. / ft. and is originally unstrestched.
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EGN3311: Statics Assignment 4 Professor Mehrabian
10 8-24 The drum has a weight of 100 lb. and rests on the floor for which the coefficient of static friction is μ
s
= 0.6. If a
= 2 ft. and b
= 3 ft., determine the smallest magnitude of the force P
that will cause impending motion of the drum.
EGN3311: Statics Assignment 4 Professor Mehrabian
11 8-26 The refrigerator has a weight of 180 lb. and rests on a tile floor for which μ
s
= 0.25. If the man pushes horizontally on the refrigerator in the direction shown, determine the smallest magnitude of horizontal force needed to move it. Also, if the man has a weight of 150 lb., determine the smallest coefficient of friction between his shoes and the floor so that he does not slip.
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