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2-4 已知某钢制零件受弯曲变应力的作用,其中,最大工作应力 =200MPa,最小工作应
max
力 = -50MPa,危险截面上的应力集中系数k =1.2 ,尺寸系数 =0.85,表明状态系数=1 。
min
材料的=750MPa,=580MPa, =350MPa 。试求:
s 0 -1
(1)绘制材料的简化极限应力图,并在图上标出工作应力点的位置;
(2 )求材料在该应力状态下的疲劳极限应力 ;
r
(3 )按疲劳极限应力和安全系数分别校核此零件是否安全(取Smin=1.5 )
An alloy steel part suffers bending stress :
=750MPa,=580MPa, =350MPa
s 0 -1
Working stress : =200MPa, = -50MPa
max min
k =1.2 ,=0.85,=1 ,
(1) Make the stress endurance figure, and find the working point.
(2) Find the fatigue stress limitation r.
(3) Check if this part is safe, using the fatigue stress limitation and the safety factor (if Smin=1.5).
Solution:
1) calculate stress amplitude、mean stress and stress ratio
2) judge where the working point is
=0.46
∴ working point is in AOD
3) calculate endurance limit
4) check strength
A. Allowable stress
Safe !
B. Safety factor
Safe !
3 -3、3-6、3 -8
3 -3 A transmission with two pairs of gears is shown as problems figure 3- 1. The axial forces
of the two gears on the axle II, Fa2 and
Fa3 are to be eliminated. The helix angle
of the first pair of gears I =15. Try to
determine the helix angle of the second
pair of gears, and the helix directions for
the gear 3 and gear 4 on it.
Solution:
(1) The torque of gear 2 and gear 3
T2=9550000*P2/n2
T3=9550000*P3/n3
n2=n3, since the two gears are on the same axle
P2=P3, when ignore the transfer efficiency
So that, T2=T3
(2) The axial force of gear 2 equal to gear 3
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