Fundamentals of Structural Analysis
5th Edition
ISBN: 9780073398006
Author: Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher: McGraw-Hill Education
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Chapter 9, Problem 31P
To determine
Find the horizontal and vertical displacements at A of the pin connected structure.
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Q1) Choose the correct answer:
1- Rankine's theory of earth pressure neglect:
The pressure on the wall is to act parallel to the surface of the soil at angle (B) to the horizontal.
The effect of cohesion on active and passive pressure.
The friction developed between a retaining wall and the soil.
o The depth of tension zone.
o The effect of water table.
2- The lateral earth pressure is the lateral pressure that developed from:
o Water beside it.
o
Soil beside structure.
o External loads.
o
All the above.
o Excavation beside structure.
3- The coefficient of earth pressure at rest represented as
o
Ko-1-sing
expression given by Jaky.
o Ko-sing
。 Ko-1-cosp
о
o Ko-cosp
。 Ko" tano
4- If the backfill carries a uniform surcharge q, then the lateral pressure at the depth of wall His:
o pa-Ka yz+Ka q
o pa Ka yz-Ka q
o pa Ka yz*Ka q
o pa Ka yz/Ka q
。 pa=Ka yz+q
5- During the active state of plastic equilibrium, the retaining wall moves:
o
Towards the fill
o
Away from the fill
o Does not change…
س 1:
سم
،
خمن كمية الأعمال الترابية اللازمة لتنفيذ جزء من القناة وفقًا للبيانات التالية: عرض القناة = 3م المنحدر الجانبي في الحفر = 1:1
وفي الدفن = 1:1.5 عرض الضفة = 2 م من الجانبين عمق الاملاء الكامل ) full supply depth)= 80
السافة العمودية بين
اعلى مستوى للمياه واعلى نقطة في الضفة الجانبية ( free board) = 40 سم، ميل القاعدة = 1:5000 مستوى قاعدة القناة المقترح
R.D. (m)
1000
2000
3000
4000
G.L. (m)
210.8
210.4
208.8
208.4
FSD
210= (P.B.L)
BANK OF
CHANNEL
A 8.5 meter simply supported reinforced concrete beam on
parallel rectangular column, where the column width is 300 mm is shown in Figure carries a
uniformly distributed variable action of 10 kN/m and permanent action of 9 kN/m (including
self-weight of beam). The clear cover of beam for class XC-1 is 25 mm, diameter of main and
shear reinforcement are 20 mm and 8 mm respectively. The characteristic material strengths
are fck = 30 N/mm² and fyk = 500 N/mm². Apply variable Strut Inclination Method to design
the shear reinforcement (links) for the beam.
h = 370 mm
마
*b
= 230 mm
Section A-A
Chapter 9 Solutions
Fundamentals of Structural Analysis
Ch. 9 - Prob. 1PCh. 9 - Prob. 2PCh. 9 - Prob. 3PCh. 9 - Prob. 4PCh. 9 - Prob. 5PCh. 9 - Prob. 6PCh. 9 - Prob. 8PCh. 9 - Prob. 11PCh. 9 - Prob. 12PCh. 9 - Prob. 13P
Ch. 9 - Prob. 14PCh. 9 - Prob. 15PCh. 9 - Prob. 16PCh. 9 - Prob. 17PCh. 9 - Prob. 18PCh. 9 - Prob. 19PCh. 9 - Prob. 20PCh. 9 - Prob. 21PCh. 9 - Prob. 22PCh. 9 - Prob. 23PCh. 9 - Prob. 24PCh. 9 - Prob. 25PCh. 9 - Prob. 26PCh. 9 - Prob. 27PCh. 9 - Prob. 28PCh. 9 - Prob. 29PCh. 9 - Prob. 30PCh. 9 - Prob. 31PCh. 9 - Prob. 32PCh. 9 - Prob. 33PCh. 9 - Prob. 34PCh. 9 - Prob. 35PCh. 9 - Prob. 36PCh. 9 - Prob. 37PCh. 9 - Prob. 38PCh. 9 - Prob. 39PCh. 9 - Prob. 40PCh. 9 - Prob. 41PCh. 9 - Prob. 42PCh. 9 - Prob. 43PCh. 9 - Prob. 44PCh. 9 - Prob. 46PCh. 9 - Prob. 47PCh. 9 - Prob. 48PCh. 9 - Prob. 49PDE
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- As shown in the figure below, a 1.5 m × 1.5 m footing is carrying a 400 kN load. P Depth (m) 0.0 1.0 2.0 Df Groundwater table (Yw = 9.81 kN/m³) 3.5 Yt = 16.5 kN/m³ E = 9,000 kPa Sandy soil Ysat 17.5 kN/m³ E = 15,000 kPa 6.0 Stiff Clay (OCR = 2) Bedrock Ysat 18.0 kN/m³ eo = 0.8 Cc = 0.15, Cr = 0.02 Eu =40,000 kPa (a) Estimate the immediate settlement beneath the center of the footing. Assuming that Poisson's ratios of sand and soft clay are 0.3 and 0.5, respectively. Use numerical integration approach. For the calculations, use layers (below the bottom of the footing) of thicknesses: 1 m; 1.5 m, and 2.5 m. (b) Determine the primary consolidation settlement beneath the center of the footing. (c) Redo Part (b) if OCR=1.1. Note: Use the 2:1 method to determine the stress increase below the footing. For parts (b) and (c), use the one-dimensional consolidation theory.arrow_forwardConsider the cross-sections illustrated in the next slides. Implement a cross-sectional analysis based on a layered discretisation of the cross- section as required at the following. 1) Develop the implementation of an analysis to estimate the nonlinear response of the composite steel-concrete section, of the reinforced concrete section and of the steel section shown in following slides (using material nonlinear models provided in the support files). Provide the details of the numerical implementation with clear explanations of all steps. Hint: the implementation can be done in Excel. 2) Discuss how the 3 cross-sections (shown in the next slides) compare to each other in terms of embodied carbon under the condition that the cross-sections possess the same nominal moment capacity (i.e. the peak moment achieved in the moment-curvature diagram). The discussion should include at least 2 sets of the sections (each set contains one composite section, one reinforced concrete section and one…arrow_forwardConsider the following static route choice problem where 110 vehicles travel from point A to point B. The corresponding travel time (in minutes) of each link is as follows: t₁ = x1; t₂ = x2 + 20; t3x3 + 10; t₁ = 3×4 where Xi denotes the number of vehicles that choose link i. Find the number of vehicles that travel on each link when a. The user equilibrium condition (UE) is satisfied, where vehicles select the route with the minimum travel time; and b. The system optimum condition (SO) is satisfied, where the total travel time is minimised. C. Report the total delay savings when satisfying SO instead of UE. 2 B A 3 4arrow_forward
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