10: A plane truss is subjected to loads 2P and P at joints B and C, respectively, as shown in the figure. The truss bars are made of two L102 X 76 X 6.4 steel angles: cross sectional area of the two angles, A = 2180 mm², having an ultimate stress in tension equal to 390 MPa. The angles are connected to a 12 mm-thick gusset plate at 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. Consider tension in the bars, shear in the rivets, bearing between the rivets and the bars, and bearing between the rivets and the gusset plate. Disregard friction between the plates and the weight of the truss itself. Use a factor of safety of 2. A a F G a 2P B (a) Ꭰ FCG Truss bars FCF FBC Gusset plate 6.4 mm 12 mm Gusset -plate -Rivet FCD P Rivet 1. Calculate the maximum value of P (kN) based on tension in the bars. 2. Calculate the maximum value of P (kN) based on shear in the rivets. 3. Calculate the maximum value of P (kN) based on bearing. ANSWERS: 184.879 kN (member BC governs); 45.8 kN (rivets in CG and CD govern); 63.36 kN (bearing on gusset plate connected to CG and CD govern)
10: A plane truss is subjected to loads 2P and P at joints B and C, respectively, as shown in the figure. The truss bars are made of two L102 X 76 X 6.4 steel angles: cross sectional area of the two angles, A = 2180 mm², having an ultimate stress in tension equal to 390 MPa. The angles are connected to a 12 mm-thick gusset plate at 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. Consider tension in the bars, shear in the rivets, bearing between the rivets and the bars, and bearing between the rivets and the gusset plate. Disregard friction between the plates and the weight of the truss itself. Use a factor of safety of 2. A a F G a 2P B (a) Ꭰ FCG Truss bars FCF FBC Gusset plate 6.4 mm 12 mm Gusset -plate -Rivet FCD P Rivet 1. Calculate the maximum value of P (kN) based on tension in the bars. 2. Calculate the maximum value of P (kN) based on shear in the rivets. 3. Calculate the maximum value of P (kN) based on bearing. ANSWERS: 184.879 kN (member BC governs); 45.8 kN (rivets in CG and CD govern); 63.36 kN (bearing on gusset plate connected to CG and CD govern)
Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter1: Tension, Compression, And Shear
Section: Chapter Questions
Problem 1.4.10P: A long re Lai nine: wall is braced by wood shores set at an angle of 30° and supported by concrete...
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Transcribed Image Text:10: A plane truss is subjected to loads 2P and P at joints B and C, respectively, as shown in the figure. The truss
bars are made of two L102 X 76 X 6.4 steel angles: cross sectional area of the two angles, A = 2180 mm², having an ultimate
stress in tension equal to 390 MPa. The angles are connected to a 12 mm-thick gusset plate at 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. Consider tension in the bars, shear in the rivets,
bearing between the rivets and the bars, and bearing between the rivets and the gusset plate. Disregard friction between
the plates and the weight of the truss itself. Use a factor of safety of 2.
A
a
F
G
a
2P
B
(a)
Ꭰ
FCG
Truss bars
FCF
FBC
Gusset plate
6.4 mm
12 mm
Gusset
-plate
-Rivet
FCD
P
Rivet
1. Calculate the maximum value of P (kN) based on tension in the bars.
2. Calculate the maximum value of P (kN) based on shear in the rivets.
3. Calculate the maximum value of P (kN) based on bearing.
ANSWERS: 184.879 kN (member BC governs); 45.8 kN (rivets in CG and CD govern); 63.36 kN (bearing on gusset plate
connected to CG and CD govern)
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