Structural Analysis, Si Edition
5th Edition
ISBN: 9781285051505
Author: Aslam Kassimali
Publisher: Cengage Learning
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Chapter 6, Problem 18P
To determine
Find the smallest moment of inertia (I) required for the beam if the deflection does not exceed the limit of
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Question 2
The following strains are obtained by a 0-60-120 strain rosette: ε0 = 300 x 10-6, 60 =
200 x 10-6 and 120= 150 x 10-6.
i.
Determine strains Ex, Ey and Yxy
ii.
Determine the strains for 0 = 40°
iii.
Calculate principal strains, maximum shear strain and the orientation of
principal strains
iv.
Determine normal stresses (σx, σy) and shear stress (Txy), if E = 200kPa
and v = 0.25.
(Hint: You may use stress-strain relationship for plane strain,
summarised in matric format as follows:
E
σχ
бу
1-v
v
0
Ex
=
v
1-v
0
Ey
txy. (1+v)(1 − 2v) 0
0
0.5 v
A gravity retaining wall is shown in the figure below. Calculate the factor of safety with respect to overturning and sliding, given the following data:
Wall dimensions: H = 6 m, x1 = 0.6 m, x2 = 2 m, x3 = 2m,
x4 0.5 m, x5 = 0.75 m, x6 = 0.8 m, D= 1.5 m
Soil properties: 71 = 15.5 kN/m³, ₁ = 32°, Y2 = 18 kN/m³,
2=22°, c₂ = 40 kN/m²
H
x6
X2 TXT
X3
Use Coulomb's active earth pressure in your calculation and let ' = 2/3 01. Use Yconcrete = 23.58 kN/m³. Also, use k₁ = k₂ = 2/3 and P = 0 in equation
FS (sliding)
(ΣV) tan(k₁₂2) + Bk2c + Pp
Pa cos a
For 1 = 32°, a = 0°, B = 71.57°, Ka = 0.45, 8' = 21.33°.
(Enter your answers to three significant figures.)
FS (overturning)
FS (sliding)
=
For the cantilever retaining wall shown in the figure below, let the following data be given:
Wall dimensions: H = 6.5 m, x1 = 0.3 m, x2 = 0.6 m, x3 = 0.8 m,
x4 2 m, x5 = 0.8 m, D= 1.5 m, a = 0°
Soil properties: 71 = 17.08 kN/m³, ₁ = 36°, Y2 = 19.65 kN/m³,
2 = 15°, c₂ = 30 kN/m²
For 2=15°: N = 10.98; N₁ = 3.94; N₁ = 2.65.
x2
..
c₁ = 0
Φί
H
x5
Calculate the factor of safety with respect to overturning, sliding, and bearing capacity. Use Yconcrete = 24.58 kN/m³. Also, use k₁ = k2 = 2/3 and P₂ = 0 in equation
(EV) tan(k102) + Bk2c₂ + Pp
FS (sliding)
Pa cos a
(Enter your answers to three significant figures.)
FS (overturning)
FS (sliding)
FS (bearing)
=
=
=
Chapter 6 Solutions
Structural Analysis, Si Edition
Ch. 6 - Prob. 1PCh. 6 - Prob. 2PCh. 6 - Prob. 3PCh. 6 - Prob. 4PCh. 6 - Prob. 5PCh. 6 - Prob. 6PCh. 6 - Prob. 7PCh. 6 - Prob. 8PCh. 6 - Prob. 9PCh. 6 - Prob. 10P
Ch. 6 - Prob. 11PCh. 6 - Prob. 12PCh. 6 - Prob. 13PCh. 6 - Prob. 14PCh. 6 - Prob. 15PCh. 6 - Prob. 16PCh. 6 - Prob. 17PCh. 6 - Prob. 18PCh. 6 - Prob. 19PCh. 6 - Prob. 20PCh. 6 - Prob. 21PCh. 6 - Prob. 22PCh. 6 - Prob. 23PCh. 6 - Prob. 24PCh. 6 - Prob. 25PCh. 6 - Prob. 26PCh. 6 - Prob. 27PCh. 6 - Prob. 28PCh. 6 - Prob. 29PCh. 6 - Prob. 30PCh. 6 - Prob. 31PCh. 6 - Prob. 32PCh. 6 - Prob. 33PCh. 6 - Prob. 34PCh. 6 - Prob. 35PCh. 6 - Prob. 36PCh. 6 - Prob. 37PCh. 6 - Prob. 38PCh. 6 - Prob. 39PCh. 6 - Prob. 40PCh. 6 - Prob. 41PCh. 6 - Prob. 42PCh. 6 - Prob. 43PCh. 6 - Prob. 44PCh. 6 - Prob. 45PCh. 6 - Prob. 46PCh. 6 - Prob. 47PCh. 6 - Prob. 48PCh. 6 - Prob. 49PCh. 6 - Prob. 50PCh. 6 - Prob. 51PCh. 6 - Prob. 52PCh. 6 - Prob. 53PCh. 6 - Prob. 54PCh. 6 - Prob. 55PCh. 6 - Prob. 56PCh. 6 - Prob. 57PCh. 6 - Prob. 58PCh. 6 - Prob. 59PCh. 6 - Prob. 60P
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