Principles Of Geotechnical Engineering, Si Edition
9th Edition
ISBN: 9781305970953
Author: Braja M. Das, Khaled Sobhan
Publisher: Cengage Learning
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Chapter 15, Problem 15.28P
To determine
Find the minimum factor of safety
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Using Method of Virtual work, determine the slope at point A. Use E = 200GPA and I = 100x10°
mm
Use Castigliano's Theorem and determine the slope at A. Use E = 200GP and I = 100x1o mm*
40 kN
40 kN
A
B
-1.5 m -1.5 m-
-1.5 m+1.5 m-
This is a question from slope stability bishop method
Please Note i am not asking for the entire problem to be completed, i am simply seeking guidance on how to calculate slice 1 entire row that is highlighted in red.
example
how did we derive the values of (W) in the table.
formula ....W=ybz but im not getting the values
see diagram attached
Question
A compacted earth fill is constructed on a soft, saturated clay (figure below). The fill was compacted to an average dry unit weight of 19 kN m3 ⁄ and water content of 15%. The shearing strength of the fill was determined by CU tests on samples compacted to representative field conditions. The shear strength parameters are ?? = 45 kPa, ??′ = 34°, and ???′ = 28°. The variation of undrained shear strength of the soft clay with depth as determined by simple shear tests is shown in the figure below, and the friction angle at the critical state is ???′ = 30°. The average water content of the soft clay is 40%. Compute the factor of safety…
USING CONJUGATE BEAM METHOD SOLVE THE FOLLOWING
P
P
a
b
LO
b
Determine the slope (in rad) at 2.36m from the left if P = 226kN, E = 21000MPa, and I = 210x10 mm4. Use a = 1.02m and b = 2.84m.
Input your final answer on the answer box. Attach solutions below.
Round your answer to 5 decimal places.
Chapter 15 Solutions
Principles Of Geotechnical Engineering, Si Edition
Ch. 15 - Prob. 15.1PCh. 15 - Prob. 15.2PCh. 15 - Prob. 15.3PCh. 15 - Prob. 15.4PCh. 15 - Prob. 15.5PCh. 15 - Prob. 15.6PCh. 15 - Prob. 15.7PCh. 15 - Prob. 15.8PCh. 15 - Prob. 15.9PCh. 15 - Prob. 15.10P
Ch. 15 - Prob. 15.11PCh. 15 - Prob. 15.12PCh. 15 - Prob. 15.13PCh. 15 - Prob. 15.14PCh. 15 - Prob. 15.15PCh. 15 - Prob. 15.16PCh. 15 - Prob. 15.17PCh. 15 - Prob. 15.18PCh. 15 - Prob. 15.19PCh. 15 - Prob. 15.20PCh. 15 - Prob. 15.21PCh. 15 - Prob. 15.22PCh. 15 - Prob. 15.23PCh. 15 - Prob. 15.27PCh. 15 - Prob. 15.28PCh. 15 - Prob. 15.29PCh. 15 - Prob. 15.30PCh. 15 - Prob. 15.31PCh. 15 - Prob. 15.32P
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- Let P = 10 kips, L = 6 ft, a = 3 ft. E = 29 x 10^6 psi, I = 722 in^4. 1. Equation of the slope 2. Equation of the deflection curve 3. The deflection at the midpoint. 4. The slope at point B.arrow_forward3. USING DOUBLE INTEGRATION METHOD (DIM), DETERMINE THE SLOPE AND DEFLECTION AT POINT C. CONSIDER EI AS CONSTANT AND START X FROM A 10 kN 25 kN/m A 1.25 B 2.5m C√ 2.5m VDarrow_forwardKindly solve the slope and deflection at each point using Slope-Deflection Method (show solutions and diagrams) some answers:θC = 0.335°ΔC = 30.22 mmΔB = 8 mmarrow_forward
- Using ANY GEOMETRIC METHOD Consider 250 mm x 400 (b x h) mm section and E = 100,000 MPa. Enter the absolute value only and round-off your answer to 3 decimal places. GIVEN: a = 5.6 m b = 4.4 m c = 15.9 kn/m d = 22 kn QUESTIONS: 1. Determine the VERTICAL REACTION at B in KN. 2. Determine the SLOPE at B in DEGREES. 3. Determine the DEFLECTION at D in MM. 4. Determine the DEFLECTION AT MIDSPAN OF THE BEAM in MM. Thank you! Please answer all. ❤️arrow_forwardSOLVE EACH PROBLEM USING THE FF. METHODS: •VIRTUAL WORK METHOD •CASTIGLIANO THEOREM (Need Solution) 1. Determine the SLOPE AND DISPLACEMENT at point A. TAKE E=11GPA.THE VALUE OF “I” CAN BE SOLVED BY ITS GIVEN DIMENSION .Support B IS FIXED SUPPORT AND A IS FREE-END. Answer: θ= 0.005725 rad counterclockwise; Δ= 27.3835 mm downward (Need Solution) 2. Determine the slope at A and displacement at C. EI is constant. Answer: θ= -5/EI kN/m^2 counterclockwise; Δ= -2.8125/EI kN/m^3 upwardarrow_forwardSolve for the moment, shear force, bending moment, maximum compressive and tensile stress and beam cross-section is not given. The value of W0=105 KN/m, L=5 meters. Use Integration Method with slope intercept form. Show complete solution.arrow_forward
- USING DOUBLE INTEGRATION METHOD Consider 250 mm x 250 mm (bxh) mm section and e = 100000 MPa DETERMINE VERTICAL REACTION AT B DETERMINE SLOPE REACTION AT B DETERMINE DEFLECTION AT D Values: A = 9.4 M B = 5.5 M C = 10.6 KN/M D = 33 KNarrow_forwardAnalyze the given structure below.Calculate for the slope at the free end (Use: DOUBLE INTEGRATION METHOD)arrow_forwardPlease answer this using virtual work method and castigliano theorem. Thank you!! The answers should be: θ = -5/EI kN/m2 counterclockwise;Δ = -2.8125/EI kN/m3 upwardarrow_forward
- Situation #1 A 3 m El is Constant (Assume El = 1 kN-m²) Y KN ny 10 + A X_kN Fam B Determine the slope at A Determine the slope at B Determine the location of the maximum deflection from A Determine the maximum deflection X= 329 Y= 29 A= 8arrow_forwardDetermine the following unknowns using Double Integration Method. Consider 150mm x 150mm section and E = 200GPA a. Reaction at A in kN. %3D b. Slope at A in degrees. c. Deflection at B in mm, indicate negative if downward. d. Deflection at E in mm, indicate negative if downward. 17 kN/m 19 kN AA BỊ JE 4.6 m 4 m 3 m 3 marrow_forwardUsing Slope Deflection Method for the figure below then , determine MAB, MBA, Mac, McB, McD, Moc and all reactions at support. Use I= 1/12 b(h') and E = 2.10x10" KPa 1445 kN/m B 4.25m 5.15m b2= 0.55m b3= 0.75m 722.5 kN/m h2= 0.75m h3= 0.75m L4, m b1= 0.75m 9.95m 3.22m h1= 0.75m 3.28m D Aarrow_forward
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