78 APPLIED MECHANICS 
Exercises VIb. 
In the following exercises on riveted joints, =thickness of plates, d=dia- 
meter of rivets, p=pitch (or greatest pitch) of rivets, all in inches, In all cases 
where p has to be determined the result is to be stated and taken to the nearest 
eighth of an inch, and where d has to be found, the result is to be stated and 
taken to the nearest sixteenth of an inch, 
Unless otherwise stated the tenacity of the plates is to be taken at 28 tons 
per square inch, and the resistance of the rivets to shearing at 23 tons per 
square inch. 
1. Inasingle riveted lap joint ‘=;4,d=%,andp=2. Calculate the efficiencies, 
and find the crushing stress on the rivets when the joint gives way by tearing. 
2. A treble riveted lap joint has the following dimensions—t=}%, d=1,\, 
and p=3%. Calculate the efficiencies, and find the crushing stress on the rivets 
when the joint gives way by tearing. 
8. Find p for a double riveted lap joint in which ¢=,%, and d=}%. Then 
calculate the efficiencies. 
4. Design a double riveted lap joint for plates $ inch thick, and find the 
efficiencies, having. given f;=0'8/; and f-=1°3f/,. 
5. In the treble riveted lap joint shown in Fig. 93, t=15, d=14, and p=48&. 
Calculate the efficiencies of the joint. 
6. Having given ¢=}%, determine d and p for 
the joint shown in Fig. 93, so that the three 
principal efficiencies shall be as nearly equal as pos- 
sible (d@ being to the nearest sixteenth, and p to 
the nearest eighth of an inch), then calculate the 
efficiencies. 
7. Plates 1 inch thick are connected by a treble 
riveted butt joint with two cover straps. The pitch - 
of the rivets in the outer rows is twice the pitch of 
those in the other. rows, and the diameter of the 
rivets is 1 inch. ‘Taking the resistance of rivets in 
double shear equal to 1:75 times their resistance Fig. 93. 
in single shear, determine p (to nearest eighth of an 
inch) for equal tearing and shearing resistances. Then determine the efficiencies. 
8. Same as preceding exercise, except that the resistance of rivets in double 
shear is to be taken equal to twice their resistance in single shear. 
9. Ina riveted joint of the form shown in Fig. 94, = %, d=14, and p=7. 
Taking the shearing resistance of rivets in double - 
shear equal to 1°75 times their resistance in single 
shear, determine the efficiencies of this joint. 
-10. Determine p and d for the joint shown in 
Vig. 94 (¢=,;), so that the efficiencies may be as 
nearly as possible equal to one another, taking p to 
the nearest eighth, and d to the nearest sixteenth 
of an inch. Take shearing resistance of rivets in © 
double shear equal to 1°75 times their resistance to 
single shear.. Give the efficiencies. 
11. Ina double riveted lap joint <=4, d=, and 
p=2}. Find the efficiencies. This joint is streng- 
thened by the addition of a cover strap, as see tables 
in Fig. 95. The rivets at A and B being { inch Fia. 94. 
diameter, and 53 inches pitch. Calculate the 
efficiencies of the altered joint. 
12. The tie-bar lap joint shown in Fig. 96 has rivets }4 inch diameter. The 
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Fig, 95, Fie. 96. Fie. 97. 
