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Principles of Foundation Engineering, SI Edition
9th Edition
ISBN: 9781337672085
Author: Das, Braja M., SIVAKUGAN, Nagaratnam
Publisher: Cengage Learning
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Chapter 16, Problem 16.9P
(a)
To determine
Find the values of
(b)
To determine
Compare the values of
(c)
To determine
Explain about the trends in the magnitude and direction of the active thrust
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22 - Find the center of gravity M of the three dimensional homogeneous wire ABCD using the coordinate set (x, y, z) in the figure.
The dimensions of the wire are a = 24 cm, b = 36 cm.
Which of the following is the correct coordinate of the homogeneous wire on the y axis?A) 28,29B) 20,57C) 21.61D) 23,57E) 27.33
Determine location of centroidal x and y and the moment
of inertia Ix of the figure shown. Use the Parallel axis theorem.
Use Y = 53, and A = 1
v-axis
100 + Y (mm)
90 mm
60 mm
x-axis
250 + A (mm)
2. Determine the location of the horizontal centroid Y measured from the bottom and the
magnitude of the moment of inertia of the shape with respect to the horizontal axis (I).
mm
mm
Solution(s):
Y =
1x =
Chapter 16 Solutions
Principles of Foundation Engineering, SI Edition
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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.Similar questions
- 5 CHAT Vx MATH Determine the values of the variables to satisfy the equation using a) Gaussian Elimination and b) Gauss- Jordan Elimination. 2w +3x- 4y + z = 9 w - 3x +y - z = 5 -2w – x- 3y +z = -11 w +x +y-3z = -4 Ans.w = 5.7971, x = -0.5145, y = 1. 1304, and z = 3.4710arrow_forwardMATH 122 WORKSHEET 4: RECTANGULAR COORDINATES Plot the given pair of points on a Cartesian plane, draw a straight line between them and determine the distance between the two points and the coordinate of the midpoint of the straight line. One Cartesian plane per number. 1. (4,8) and (10,4) 2. (3,2) and (7,5) 3. (4,9) and (9,5) 4. (-6,–4) and (3,7) 5. (-3,2) and (4,8)arrow_forwardDetermine the x-coordinate of the centroid of the shaded area by integration. y T 24 14 Answer: x= 23arrow_forward
- Č. Determine the solution set of the following equations using linear equations. 3. dy = (x – 3v)dx. %3Darrow_forwarduse method of virtual work for beams and frames Determine the slope and the displacement at the end C of the beam. E= 200 GPa, I=70(10^6)mm^4arrow_forwardFind ex, ey and y. NOTE: ex and ey in mm/mm and y in radiansarrow_forward
- Using the parallel axis theorem, determine the moment of inertia about the axis for the same shape Express your answer in int. Comp. 1 = E ||| IX KI y = HIN 1 2 Area, A (in²) 6x6 = 36 (6 x 3) (6 × 9) Σ Ax₁ ΣΑ = 9 ΣΑ = 72 Σ Ayi ΣΑ = = 27 -72 72 333 72 = = Centroidal distance from y-axis, x₁ (in) - 6 2 6 3 103 6 3 =-2 2 -1.0 in. 3 4.625 in. Centroidal distance from x-axis, y (in) 6 2 = 3 3 6+=7 3 2 (9) 3 = 6 Ax₁ (in³) -108 -18 54 Σ Ax; = -72 Ay₁ (in³) 108 63 162 Σ Ay; = 333arrow_forwardFor the figure shown, let a = 200 mm and b = 75 mm. 1/26/2 Y- a/2a/2 → 1x Compute the moment of inertia about the y-axis. Select the correct response: 105.185 x 106 mm4 O 94.423 x 106 mm4 O382.161 x 106 mm4 316.658 x 100 mm² +-+ a 1arrow_forward36 - Find the center of gravity M (x,y,z) of the three-dimensional homogeneous ABCD wire in the figure by using the coordinate set. The dimensions of the wire are a= 20 cm, b= 30 cm. Which of the following is the correct coordinate of the homogeneous wire in the y-axis?A) 12.33B) 15.29C) 14.43D) 13.71E) 17.14arrow_forward
- A 20 m tape was used for measuring a line at an average temperature of 65º F. The measured distances on the ground and slope of the ground are as given below: 2º 18′ for 125 m 3º 30′ for 250 m 1º 42′ for a distance of 170 m If the temperature at which tape was standardised is 80º F, find the true length of the line. Take α = 6.2 × 10^(–6) /ºF.arrow_forward[10 12 0] 2 2 4. Find the inverse of the matrix 0 8 using the Gauss-Jordan method. 4arrow_forwardFind θB in radians using conjugate beam methodarrow_forward
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