課程名稱︰機械設計
課程性質︰機械系大三必修
課程教師︰陳湘鳳
開課學院：工學院
開課系所︰機械工程學系
考試日期（年月日）︰2017.1.12
考試時限（分鐘）：100min
試題 :
1. The dimensions of the bracket are: l = 100mm, a = 400mm, t = 10mm, h = 20mm,
F = 50N, od = 20mm, id = 14mm. Material is SAE 1015 CD. (1) Find the Von
Mises stress at point B. (2) Find the safety factor at point B using the
distortion-energy method.(20%)
http://i.imgur.com/PE7Yplt.jpg
2. An unpeened helical compression spring made of hard drawn round wire with
squared and ground ends has spring rate k, diameter d, and spring index
C = 9. The allowable force associated with a solid length is P_all = 45N.
The number of active coils is 18. The safety factor based on yielding is
1.8. The maximum percent of tensile strength for maximum allowable
torsional stress is 0.45. (20%)
(a) Find wire diameter d and the mean diameter D for the case in which the
spring is compressed solid.
(b) Find the yield strength in the shear of the wire.
(c) Find the spring rate k.
(d) Find the deflection.
(e) Find the solid length.
(f) Find the pitch of the spring.
(g) Whether the spring will buckle, if the spring is supported between flat
parallel surfaces.
3. For s spring same as above experiences, a load varies between 10N and 40N.
Determine the safety of factor (a) using the Goodman criterion with
Zimmerli data, (b) using the Sines torsional fatigue criterion (steady
stresscomponent has no effect) with Zimmerli data.
4. A clamping force of 100kN is provided between two components. There is only
M10 × 1.25 thread of bolts available. The material is steel, metric Grade
5.8. The stiffness of the clamped members is four times greater than the
bolts.Assume that the load is equally shared by each bolt, (a) if each bolt
is stressed to 75% of its proof strength, at least how many bolts are
needed? (b) if 10 bolts were used to provide the required clamping force,
and assume an external load 5kN was applied to each bolt, find the safety
factors in yielding and seperation. (16%)
5. The joint is subjected to a load that varies between 0 and 8 kips. The bolt
is 5/8-11 UNC SAE graed 5. The joint constant C = 0.188. (a) whether the
bolt fails when no preload is present (the bolt is loosely held). (b) if
with preloaded to 75% of its proof strength, find the fatigue safety of
factor based on the Goodman fatigue criterion. (c) find the static load
factor. (24%)
http://i.imgur.com/SVapMcP.jpg