Page 351 - Marks Calculation for Machine Design

P1: Sanjay
January 4, 2005
15:14
Brown.cls
Brown˙C08
P

P
P MACHINE ASSEMBLY P 333
FIGURE 8.4 External load on bolted joint.

where (P bolt ) is the portion of the total load carried by the bolt and (P members ) is the portion
of the total load carried by the members.
As the deflection (δ) of the bolt in tension must equal the deflection (δ) of the members in
compression, Eq. (8.1) can be rearranged to give another relationship between the portion
of the load carried by the bolt (P bolt ) and the portion carried by the members (P members ) as

P bolt P members
δ = = (8.28)
k bolt k members
Solve for the portion of the load carried by the bolt (P bolt ) in Eq. (8.28) to give

k bolt
P bolt = P members (8.29)
k members
or solve for the portion of the load carried by the members (P members ) in Eq. (8.28) to give

k members
P members = P bolt (8.30)
k bolt
Substitute (P bolt ) from Eq. (8.29) in Eq. (8.27) to give

k bolt
P = P bolt + P members = P members + P members
k members
(8.31)

k bolt k bolt + k members
= + 1 P members = P members
k members k members
then solve for (P members ) to give

k members
P members = P (8.32)
k bolt + k members
Substitute (P members ) from Eq. (8.30) in Eq. (8.27) to give

k members
P = P bolt + P members = P bolt + P bolt
k bolt

k members k bolt + k members
= 1 + P bolt = P bolt (8.33)
k bolt k bolt