Bolted Joint Problem: You're working on a project that utilizes a single lap joint and gasket similar to the one shown below (Figure 2). Your task is to choose the appropriate bolt diameter and preload level to sufficiently compress the gasket. The plates are made of steel (E = 200 GPa), thickness t = 20 mm, and a width b = 50 mm. The gasket is g = 0.2 mm thick. The stiffness of the joint material for a lap joint can be calculated as $k_j$ = elastic modulus of steel plates*plate width*plate thickness/(4*initial joint gap) (ref. Shigley's Machine Components book, Machinery's handbook). To get a good seal, the gasket must be compressed by 50% when the bolt is installed, i.e. preloaded. You are to use a grade 4.8 bolt with a yield strength of 420 MPa. Using the joint diagram approach for this scenario, what range of bolt size and pre-load is acceptable for this application? State the final answer using standard fastener terminology, e.g. M_x_
140
All dimensions are in mm
Aluminum
75
Bolt
$\phi$6.35
Shim
Composite
40
A
20
B
Tab
60
45
8
5
40
Washer
Bolt
$D_1$=9.3
$D_2$=6.35
$H_1$=8.4
$H_2$=7
$H_3$=6.3
$\phi_1$=12.7
$\phi_2$=6.7
Thickness
$H_1$=0.41
Nut
$M_1$=11
$M_2$=9.5
Thickness
$H_2$=3.5
3.76