Engineering Fundamentals: An Introduction to Engineering
6th Edition
ISBN: 9780357112311
Author: Saeed Moaveni
Publisher: Cengage Learning US
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Chapter 11, Problem 52P
To determine
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Using the method of virtual work, for the truss shown below, determine the horizontal displacement of joint A. Take A = 180 mm2 and E = 200 GPa for each member.
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 = 14 kN/m³, ₁ = 32°, 72 = 18 kN/m³,
2=22°, c₂ = 40 kN/m²
Y₁
c₁ = 0
H
Φί
x5
x6
Use the Rankine active earth pressure in your calculation. Use Yconcrete = 23.08 kN/m³. Also, use k₁ = k₂ = 2/3 and Pp = 0 in the equation
FS (sliding)
(ΣV) tan(k102) + Bk2c2 + Pp
Pa cos a
(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 = 8 m, x1 = 0.4 m, x2 = 0.6 m, x3 = 1.5 m,
x4 3.5 m, x5 = 0.96 m, D= 1.75 m, a = 10°
Soil properties: 71 = 14.8 kN/m³, ₁ = 32°, Y₂ = 1
2 = 28°, c = 30 kN/m²
17.6 kN/m³,
The value of Ka is 0.3210. For 2 = 28°: N = 25.80; N₁ = 14.72; N₁ = 16.72.
c=0
H
Χς
Calculate the factor of safety with respect to overturning, sliding, and bearing capacity. Use Yconcrete = 21.58 kN/m³. Also, use k₁ = k₂ = 2/3 and P = 0 in the equation
FS (sliding)
(ΣV) tan(k₁₂) + Bk2C + Pp
Pa cosa
(Enter your answers to three significant figures.)
FS (overturning)
FS (sliding)
FS (bearing)
=
Chapter 11 Solutions
Engineering Fundamentals: An Introduction to Engineering
Ch. 11.2 - Prob. 1BYGCh. 11.2 - Prob. 2BYGCh. 11.2 - Prob. 3BYGCh. 11.2 - Prob. 4BYGCh. 11.2 - Prob. 5BYGCh. 11.2 - Prob. BYGVCh. 11.4 - Prob. 1BYGCh. 11.4 - Prob. 2BYGCh. 11.4 - Prob. 3BYGCh. 11.4 - Prob. 4BYG
Ch. 11.4 - Prob. BYGVCh. 11.6 - Prob. 1BYGCh. 11.6 - Prob. 2BYGCh. 11.6 - Prob. 3BYGCh. 11.6 - Prob. 4BYGCh. 11.6 - Prob. BYGVCh. 11 - Prob. 1PCh. 11 - Prob. 2PCh. 11 - Alcohol thermometers can measure temperatures in...Ch. 11 - Prob. 4PCh. 11 - Prob. 5PCh. 11 - Prob. 6PCh. 11 - Prob. 7PCh. 11 - Prob. 8PCh. 11 - Calculate the R-value for the following materials:...Ch. 11 - Calculate the thermal resistance due to convection...Ch. 11 - Prob. 11PCh. 11 - Prob. 12PCh. 11 - Prob. 13PCh. 11 - Estimate the change in the length of a power...Ch. 11 - Calculate the change in 5 m long copper wire when...Ch. 11 - Prob. 16PCh. 11 - Prob. 17PCh. 11 - Prob. 19PCh. 11 - Prob. 20PCh. 11 - Prob. 23PCh. 11 - Prob. 24PCh. 11 - Prob. 26PCh. 11 - Prob. 27PCh. 11 - Prob. 28PCh. 11 - Prob. 29PCh. 11 - Prob. 30PCh. 11 - Prob. 31PCh. 11 - Prob. 32PCh. 11 - Prob. 33PCh. 11 - Prob. 34PCh. 11 - Prob. 35PCh. 11 - For Problems 11.11, 11.12, and 11.13, calculate...Ch. 11 - Prob. 37PCh. 11 - Prob. 38PCh. 11 - Prob. 39PCh. 11 - Prob. 40PCh. 11 - Prob. 41PCh. 11 - Prob. 42PCh. 11 - Prob. 43PCh. 11 - Prob. 44PCh. 11 - Prob. 45PCh. 11 - Prob. 46PCh. 11 - Prob. 47PCh. 11 - Prob. 48PCh. 11 - Prob. 49PCh. 11 - Prob. 51PCh. 11 - Prob. 52PCh. 11 - Prob. 53PCh. 11 - Prob. 54PCh. 11 - Prob. 55P
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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 varrow_forwardA 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) =arrow_forwardFor 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) = = =arrow_forward
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