From the figure shown, a truss is subjected to loads PI = 15 kN, P2 = 15 kN and P3 = 25 kN at joint C, D and E respectively. Use SI = 3 m; S2 = 4 m P₁ Properties of diagonal members (2L75 x 75 x 6): Ag = 1858 mm2 Fy = 248 MPa rx = 22.9 mm ry = 33.2 mm G a) What is the axial force in kN, in member DI? b) What is the allowable stress in MPa, in member DI? c) Calculate the allowable load in kN, in member DI. D H 6 @ Si P₁ CIVIL ENGINEERING- STEEL DESIGN ...
From the figure shown, a truss is subjected to loads PI = 15 kN, P2 = 15 kN and P3 = 25 kN at joint C, D and E respectively. Use SI = 3 m; S2 = 4 m P₁ Properties of diagonal members (2L75 x 75 x 6): Ag = 1858 mm2 Fy = 248 MPa rx = 22.9 mm ry = 33.2 mm G a) What is the axial force in kN, in member DI? b) What is the allowable stress in MPa, in member DI? c) Calculate the allowable load in kN, in member DI. D H 6 @ Si P₁ CIVIL ENGINEERING- STEEL DESIGN ...
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
Please double check your answer in allowable stress and allowable loads. Please double check your answer
Transcribed Image Text:Since the member is in compression,
The maximum slenderness ratio is given as,
LDI
Amax
As, Amax >4.71₁
given as,
= 218.34
Also, check for slenderness ratio,
=4.71,
are,
FAll = F cr
Fy
Solution
=
= 4.71₁1
= 133.756
"
min
5x10³
22.9
Fcr=0.877Fe
= 0.9 × 36.313
= 32.682 MPa
= 0.877 X
then the critical stress, Fcr is
= 0.877 X
2x105
248
π²El
= 36.313 MPa
Therefore, the allowable stress and allowable load
1².
max
π²×2×105
218.34²
Pall= Fall xAg
= 32.682 × 1858
= 62.72× 10³ N
= 60.72 KN
The member force in DI is 7.288 kN compressive
The allowable stress in DI is 32.682 MPa
The allowable load in DI is 60.72 kN
Transcribed Image Text:From the figure shown, a truss is subjected to loads PI = 15 kN, P2 = 15 kN and P3 = 25 kN at joint C, D and E respectively. Use SI = 3
m; S2 = 4 m
P₁
Properties of diagonal members (2L75 x 75 x 6):
Ag = 1858 mm2
Fy = 248 MPa
rx = 22.9 mm
ry = 33.2 mm
G
a) What is the axial force in kN, in member DI?
b) What is the allowable stress in MPa, in member DI?
c) Calculate the allowable load in kN, in member DI.
H
6 @ Si
I
P₁
E
B
S,
CIVIL ENGINEERING-
STEEL DESIGN
...
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