A PROB. 1.8-12 a 2P B (a) D XII Gusset plate Rivet (b) Section

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter4: Plane And Space Trusses
Section: Chapter Questions
Problem 50P
Question
100%
A
PROB. 1.8-12
a
2P
B
(a)
G
D
Gusset plate
Rivet
FCF
FBC
6.4 mm
Truss bars
➖➖➖➖➖➖➖➖----0-
(b) Section a-a
12 mm
(c)
FCG
P
Gusset
-plate
-Rivet
FCD
Transcribed Image Text:A PROB. 1.8-12 a 2P B (a) G D Gusset plate Rivet FCF FBC 6.4 mm Truss bars ➖➖➖➖➖➖➖➖----0- (b) Section a-a 12 mm (c) FCG P Gusset -plate -Rivet FCD
1.8-12 A plane truss is subjected to loads 2P and P at
joints B and C, respectively, as shown in the figure part a.
The truss bars are made of two L102 x 76 x 6.4 steel
angles [see Table F-5(b): cross-sectional area of the two
angles, A = 2180 mm², figure part b] having an ultimate
stress in tension equal to 390 MPa. The angles are con-
nected to an 12 mm-thick gusset plate at C (figure part c)
with 16-mm diameter rivets; assume each rivet transfers an
equal share of the member force to the gusset plate. The
ultimate stresses in shear and bearing for the rivet steel are
190 MPa and 550 MPa, respectively.
Determine the allowable load Pallow if a safety factor
of 2.5 is desired with respect to the ultimate load that can
be carried. (Consider tension in the bars, shear in the riv-
ets, bearing between the rivets and the bars, and also bear-
ing between the rivets and the gusset plate. Disregard
friction between the plates and the weight of the truss
itself.)
Transcribed Image Text:1.8-12 A plane truss is subjected to loads 2P and P at joints B and C, respectively, as shown in the figure part a. The truss bars are made of two L102 x 76 x 6.4 steel angles [see Table F-5(b): cross-sectional area of the two angles, A = 2180 mm², figure part b] having an ultimate stress in tension equal to 390 MPa. The angles are con- nected to an 12 mm-thick gusset plate at C (figure part c) with 16-mm diameter rivets; assume each rivet transfers an equal share of the member force to the gusset plate. The ultimate stresses in shear and bearing for the rivet steel are 190 MPa and 550 MPa, respectively. Determine the allowable load Pallow if a safety factor of 2.5 is desired with respect to the ultimate load that can be carried. (Consider tension in the bars, shear in the riv- ets, bearing between the rivets and the bars, and also bear- ing between the rivets and the gusset plate. Disregard friction between the plates and the weight of the truss itself.)
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