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Unformatted text preview: Part E GEE 372 : Strength of Materials
ASSINGNMENT ii 1. questions. Always provide cl ear sreps and diagram.) Find the centroidal distances Kg and yg ofthe objects shown below in Fig. i. A four bar mechanism ABCD (Fig. 2} is attached by a spring 3: its left end to rigid wall. andat its right
end through another bar to the right rigid wall. Pall five bar members are rigid. Spring constant is
10.2 lcN/‘m; This means a force of EOE is reg mired to stretch the spring by l m. initially. the when
a r 0, all bars are horizontal ano the spring tension is 200 N. The load P was then applied, and the
bars open to the position shown. Find the forceFJ required to cause this deformation. The solid long circ lar cylinder (Fig, 3) rests in the trough as shown. All surfaces are smooth. The
weight of the cylinder is 392.4 N. Determine the forces on the cylinder from each of the walls. Fig. 4 shows two solid long cylinders each with Weight W and radius r. The are lying within a
rectangular box of Width L. Obwously, for cylinders to occupy the positions shown, 4r>L Determine
the forces exerted by each of the cylinder upon the walls {RA and R3). Also detezinine {he interaction force beiween the cylinders (R5). Provide clear steps and give answers in terms of W. L and r. Explain the magnitude. of the forces computed above, relative to the two following scenarios: ~
Explain your answers clearlywiﬂi diagrams. Scenario 1: Win? happens. when L slowly 'pnro aches 21"? Scenario 2: What happens, when L slowly approaches 4r? 75 n1m_75 mm h 1'on 50 HUM N .mmr Inm mm I’art 11: Brain Teasers 1. Tom and His Best Friend: Daily Tom walks up and down a hill, which is eight kilometers for a round hip. His
dog being slower. walks at onethird speed. Tom reaches the top or" the hill and turns around and walks down.
After meeting the dog part way, he continues walking to the bottom of the hill. The dog follows him without
going to the top of the hill. (1) Once both are at the bottom of the hill, in total how far have Tom and. the dog walked 1. n km
(it) How far from the base did Tom meet up with his dog? a: km Up and Down in Nottingham Hills: Two cyclists rode their bicycles once up and down a hill. They averaged 20
km/hr on the way up and 40 kin/hr on the way down. The average speed for the entire trip = ka1 hr Incredible Hulk Cars: If three cats catch three mice in three minutes, how many cats would be needed to catch
wt} mice in 50 minutes? (Hint these second generation genealtered cats have a huge appetite) Number cats required =' m Tough Life Ufa Race Car Driver: A race car driver has figured out so long as he can travel at lSOkm/hr in the
entire nine lap race, he can win. Because of an engine trouble, the driver was able to travel the ﬁrst three laps at an average speed of only 90km/hr. Well, if he has to still win, what average speed should he be traveling during
the next six laps to win the race? Average Speed in the last three laps = kin/hr Earns Pond in Shangri La: A lotus pond in a land trucked away in the Himalayas was 400 it in diameter and on
July 4, 2007 at 00:00 hrs (military time) the pond was coranctcly with filled lotus flowers, each with 8” in dia.
The inhabitants of this wonderful land say the lotus flowers quadruple in number‘every thirty days. (i) = Year Date that the pond was 80% full: Month Day Hour (ii) How many days earlier did the pond had just one flower: w Days Hooray to Olympian Michael Phelps: Phelps figured out that in the daithm breaststroke relay competition the
average speed should he at least 6.85ktn/hr for the entire relay to break the existing world record. The ﬁrst three contests completed their lOOm stretch in 53.2, 52.5 and 52.6 secs. What should be the speed of the last contestant
Phelps to still make the record? Average Speed of Olympian ?hclps = kin/hr Olympian Phelps” time should be at least 1 seas The above assignment was designed as evidence to satisfy some of the ABET Requirements: Ex. Criteria 3
(a) and 3(8), and other general concepts. (3) an ability to apply knowledge of mathematics, science, and engineering;
{e} an ability to identify, formulate, and solve engineering problems; (0) an ability to discriminate and logically apply the concepts that have relevance in day to
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_ aﬁm Mrde ahé bmvm $14., Part II: Brain Teasers 1. Tom and His Best Friend: Daily Tom walks up and down a hill, which is eight kilometers for a round trip. His
dog being slower. walle at onethird speed. Tom reaches the top of the hill and turns around and walks down. After meeting the dog part way, he continues walking to the bottom of the hill. The dog follows him without
going to the top of the hill. (1‘) Once both are at the bottom of the hill, in total how far have Tonrand the dog walked 3 2 u km (ii) How far from the base did Torn meet up with his dog? 2 I? s 6 ion 2 Lip and Down in Nottingham Hills: Two cyclists rode their bicycles once up and down a hill. They averaged 20
ion/hr on the way up and 4G ion/hr on the way down. The average speed for the entire trip = If kin/hr 3. Incredible Hulk Cats: If three cats catch three mice in three minutes, how many cats would be needed to catch
100 mice in 50 minutes? {Hint these second generation gene—altered cats have a huge appetite) Number cats required = 4. Tough Life of a Race Car Driver: A race car driver has ﬁgured out so long as he can travel at l80lortfhr in the
entire nine lap race, he can win. Because of an engine trouble, the driver was able to travel the ﬁrst three laps at an average speed of only 96km/hr. Well, if he has to still win, what average speed should he be traveling during
the next six laps to win the race? a 7 ’5‘“
Average Speed in the last three laps = kmfhr 5. Lotus Pour! in Shangri La: A lotus pond in a land trucked away in the Himalayas was 490 ft in diameter and on
July 4, 2007' at 09:00 hrs (military time) the pond was completely with filled lotus flowers, each with 8” in dia.
The inhabitants of this wonderful land say the lotus flowers quadruple li’l number every thirty days. (i) Date that the pond was 80% all:
Year ' :95} 9 Month 5:; Day Hour Ci (ii) How many days earlier did the pond had just one ﬂower: t“ ? Days 6. Hooray to Olympian Michael Phelps: Phelps figured out that in the dalGGm breastwstrolte relay competition the
average speed should be at least 6.85ka’hr for the entire relay to break the existing world record. The first three contests completed their 100m stretch in 53.2, 52.5 and 52.6 secs. What should be the speed of the last contestant
Phelps to still make the record? g Average Speed of Olympian Phelps = m 'i all kin/hr Olympian Phelps’ time should be at least == {It “2 secs The above assignment was designed as evidence to satisfy some of the ABET Requirements: Criteria 3
(a) and 3(e), and other general concepts. I  ' (a) an ability to apply knowledge of mathematics, science, and engineering;
(e) an ability to identify, formulate, and solve engineering problems; (0) an ability to discriminate and logically apply the concepts that have relevance in day to
day life; CEE 372: Strength of Materials Assignment No. 2 (Answer all questions. Please provide all ster and neat
sketches Whenever appropriate) Solve the following problems from your text book (Gere '7th Edition). 1.21, 1.2..9, 1.41, 1.6—3, and 1.641" *NOTE: Unit weight of seawater = 63.8 pcf Reading Assignment: All worked Examples, in particular Example 18
(Text book —— 7th Edition) aD cht43+w¢cty>nc1W4 2 ~— éé” 0va a: I I .._.?Mk~_._é—ef_?.Q55. CE 372
Strength 0f Materiais assmmm :99 “3 (waver ail questians. Pime @mﬁﬁe dear diagram whenever
appmpﬁate) (i) A rigid bar AD of weight W is suSpended by two identical wires as shown in Fig. For x m 3L/4, demrmine the vertical displacement of paint D and the angle of
rotation of the bar AD. (2) A multiple bar assembly shown below was subjected to ands as shown. (:1)  “What are the deﬂectisnsat B‘and'D"? ' (ii) Identify the jlocrcmic'ri5 on the bar that has zero displacement (point that
does no: move) ? " 3. The length of the 2 mm diameter steel wire CD has been adjusted so that with no
load applied, a gap of 1.5 mm estts between the end B of the rigid beam ACE and a contact point E. Determine where a 20 kg block should be pieced in order to
cause contact between B and B. (see Fig. 3) 4*. A metal plate of length L and Width b is subjected to a uniform tensiie
stress ex as shown. Before iceding, the slope of the diagonal Blue 02%.
was b/L What is the slope when stress eX is acting ‘2. inw‘? q pr .1; _ ,T,__5_3i7._ Tihﬁjﬁﬁo
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