Nuts installed on a piece of all-thread experience the following forces in servi
ID: 1841938 • Letter: N
Question
Nuts installed on a piece of all-thread experience the following forces in service:
The length of each segment is given by:
If the all-thread is composed of a material that has an elastic modulus of 32000 ksi, and its effective diameter is 0.7 inches, determine the following:
(a) The maximum normal stress in this piece of all-thread.
(b) The change in length of segment AB.
(c) The change in length of segment BC.
(d) The change in length of segment CD.
(e) The change in length of the whole length of all-thread.
Under the following assumptions:
? Bearing stress between threads of the all-thread and the nut may be neglected
? Stress concentration effects may be neglected
? The forces that the nuts apply may be treated as concentrated forces at each location.
? The nuts may be treated as rigid.
? The force applied to each nut is distributed evenly around the nut's perimeter.
(a) ?max =
(b) ?AB =
(c) ?BC =
(d) ?CD =
(e) ?total =
? be sure to include units with your answers
? denote tensile stresses and elongations with positive values; compressive stresses and compactions with negative values
Explanation / Answer
Bolt problem 1 kip 1000 Lbs Refer to the above force distribution on the screw Length of segment a 7.7 in Length of segment b 23 in Length of Segment c 15 in Force in segment a 0.8 kip -800 Lbs, Compressive Force in segment b = 3.45-0.8 = 2.65 kip 2.65 kip 2650 Lbs Force in Segment c = 2.65-1.4 = 1.25 Kip 1.25 kip 1250 lbs Bolt Effective diameter 0.7 inches Cross sectional Area = /4d2 0.384845 in2 Maximum stress occurs in segment b = Force/Area 6885.887 psi Part (a) E=Moudulus of Elasticity= 32000 ksi 32000000 psi Change in length of segment a =PaLa/AE -0.0005 in Part (b) Change in length of segment b =PbLb/AE 0.004949 in Part (c) Change in length of segment c = PcLc/AE 0.001523 in Part (d) Total Change in length 0.005972 in Part (e)
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