The figure shows a roof truss and the detail of the riveted connection at joint B. Using allowable stresses of T = 70 MPa and ob= 140 MPa, how many 19-mm diameter rivets are required to fasten member BC to the gusset plate? Member BE? What is the largest average tensile or compressive stress in BC and BE? Say ABC = 864mm2;ABE = 1780mm2.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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We will use both shearing and bearing analysis to determine the
quantities of rivets needed to fasten BC and BE. We can determine two
values then choose what will be more safe.
■ For Member BC:
■ Based on Shearing:
V
T ==
■
Av
Based on Bearing:
P
Ab
70MPa =
96000 N
.n. (19) ²x n
1/4. π
n = 4.84 5 rivets
96000 N
(19mm) (6mm) xn
140MPa
n = 46.015≈ 7 rivets
For member BC, we must use 7 rivets since we must need a minimum
of 7 rivets to resist bearing stress produced by the connection. If we
only use 5 rivets, then the bearing stress will become 168.42 MPa. It will
result to failure since the allowable bearing stress is only 140 Mpa.
■ For member BE: (Practice at Home)
Pac
EXAMPLE:
5. The figure shows a roof truss and the
detail of the riveted connection at
joint B. Using allowable stresses of t
= 70 MPa and ob= 140 MPa, how
many 19-mm diameter rivets are
required to fasten member BC to the
gusset plate? Member BE? What is
the largest average tensile or
compressive stress in BC and BE? Say
ABC = 864mm2; ABE = 1780mm2.
14 mm
gusset
plate
75 x 75 x 13 mm
75 x 75 x 6 mm
4m
96 KN
4m
E
6m
200 KN
4m
G
96 KN
4m
Transcribed Image Text:We will use both shearing and bearing analysis to determine the quantities of rivets needed to fasten BC and BE. We can determine two values then choose what will be more safe. ■ For Member BC: ■ Based on Shearing: V T == ■ Av Based on Bearing: P Ab 70MPa = 96000 N .n. (19) ²x n 1/4. π n = 4.84 5 rivets 96000 N (19mm) (6mm) xn 140MPa n = 46.015≈ 7 rivets For member BC, we must use 7 rivets since we must need a minimum of 7 rivets to resist bearing stress produced by the connection. If we only use 5 rivets, then the bearing stress will become 168.42 MPa. It will result to failure since the allowable bearing stress is only 140 Mpa. ■ For member BE: (Practice at Home) Pac EXAMPLE: 5. The figure shows a roof truss and the detail of the riveted connection at joint B. Using allowable stresses of t = 70 MPa and ob= 140 MPa, how many 19-mm diameter rivets are required to fasten member BC to the gusset plate? Member BE? What is the largest average tensile or compressive stress in BC and BE? Say ABC = 864mm2; ABE = 1780mm2. 14 mm gusset plate 75 x 75 x 13 mm 75 x 75 x 6 mm 4m 96 KN 4m E 6m 200 KN 4m G 96 KN 4m
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