Analyze the stability of the reinforced cantilever retaining wall based on the three failure modes; : Sliding : Overturning : Bearing Stress 1. Unit weight of soil Ys = 18.5 kN/m³ 2. Unit weight of Conc Yc = 24 kN/m³ 3. Internal friction angle = 30° 4. Coefficient of friction between soil and concrete bass M = 0.35 5. Bearing capacity of soil = 150 kN/m2 0 46m Soin 3. 3. 0r45m 2.am 2.1m
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- Given: 1. Structural Component: Beam 300 mm x 400 mm Column 400 mm x 400 mm Slab thickness 110 mm 2. Dead Load: Super Imposed dead load = 4.5 KPa (including slab weight) CHB = 3.11 KPa 3. Seismic Parameter: Soil Profile - Sb Closest distance to the source - 10 km Ductility Coefficient R = 8.0 Seismic Zone Z=0.40 Ct = 0.0731 A. Compute the DESIGN BASE SHEAR (V = Cv*I*W /R*T). B. Compute the Minimum DESIGN BASE SHEAR (V =0.11Ca*I*W).A wall footing supports a 314 mm thick reinforced concrete wall with a dead load 312.37 kN/m and a live load 234.18 kN/m. The weight of the footing and soil is assumed to be 16.17% of the dead load. The soil bearing capacity of the soil is 159 kPa. Concrete strength f'c = 24.8 MPa and fy = 276 MPa. Use the thickness of footing = 482 mm and the centroid of the main bars is 80 mm from the bottom of the footing. Solve the required area of tension reinforcement per meter length (mm2/m) of the wall footing. Note: Use the exact value for the width (B). Do not rdund off.A wall footing supports a 320 mm thick reinforced concrete wall with a dead load 297.17 kN/m and a live load 210.6 kN/m. The weight of the footing and soil is assumed to be 18.79% of the dead load. The soil bearing capacity of the soil is 173 kPa. Concrete strength f'c = 27.3 MPa and fy = 276 MPa. Use the thickness of footing = 489 mm and the centroid of the main bars is 80 mm from the bottom of the footing. Solve the required area of tension reinforcement per meter length (mm2/m) of the wall footing.
- i (all Q4) Use the following log and determine for section 12342-12358ft: needed equations can be found in the textbook). a. UCS (unconfined compressive strength) b. What is the horizontal stress at 12350' in MPa neglecting pore pressure? c. What is the cohesion of the rock? Assume ov = ơi and get the cohesion from the equation from the triaxial strength tests which relates So to UCS. d. Assume =30°. Use the cohesion and ơg and os from above. Is this a safe state of stress? Use an accurate Mohr circle construction (use a compass) to visualize your answer. e. Give the failure angle. CAMMA RAY CALIPER BULK DENSITY INTERVAL TRANSIT TIME Morker A3. The horizontal prestress at the centroid of a concrete beam of rectangular crosssection 120 mm and 250 mm, is 7 N/mm2 and the maximum shearing force on the beam is 70 kN. Calculate the maximum principal tensile stress. What is the minimum vertical prestress required to eliminate this principal tensile stress?Practice Problem 4.3 Given: Continuous One Way Slab Unit Weight of Concrete = 24 kN/m^3 Clear Spans: All end spans 3.5 m All interior spans = 4 m Materials: fc = 21 MPa, Fy = 280 MPa Loads: Live Load = 2.4 KPa Use 1.2 D+1.6 L For Shear and Moment Calculations, use the 2010 NSCP Coefficients. Determine the following. a) The appropriate uniform thickness for the slab in mm b) The design factored moment in kN-m. c) If the clear bar cover is 20 mm, determine the spacing of the 12 mm ø flexural steel bars required at the critical moment section in mm
- Problem 2: The following details are given for the vertical rectangular concrete foundation (embedded): Foundation: Length = 2.4 m; Width = Height = 1.8 m Depth of foundation, D/= 1.5 m Unit weight of concrete = 24 kN/m³ Vibrating machine: Weight= 100 kN Frequency dependent amplitude of vibrating force = 9 kN At an operating speed of 500 cpm. Soil: Gs = 25 MPa; G=22 MPa; μ-0.25; ys 18.8 kN/m³ (for side layer) Y= 19.5 kN/m³ (below the base). Determine: a) Damped natural frequency b) Amplitude of vertical vibration at resonance c) Amplitude of vibration at operating speed.If FA = 40 kN and FB = 35 kN, determine the magnitude of the resultant force and specify the location of its point of application (x, y) on the slab.4.17. A rectangular beam made using concrete with f c ′ = 6000 psi and steel with f y = 60,000 psi has a width b = 20 in., an effective depth of d = 17.5 in., and a total depth of h = 20 in. The concrete modulus of rupture f r = 530 psi. The elastic moduli of the concrete and steel are, respectively, E c = 4,030,000 psi and E s = 29,000,000 psi. The tensile steel consists of four No. 11 (No. 36) bars. ( a ) Find the maximum service load moment that can be resisted without stressing the concrete above 0 .45 f c′ or the steel above 0.40 f y . ( b ) Determine whether the beam will crack before reaching the service load. ( c ) Compute the nominal flexural strength of the beam. ( d ) Compute the ratio of the nominal flexural strength of the beam to the maximum service load moment, and compare your findings to the ACI load factors and strength reduction factor.
- A bldg. has an L-shape as shown in the plan. The load exerted by the structure is 68 kPa. Compute the total vertical stress in kPa due to the structure load at a depth of 4.5 m. below the interior corner A of the L. shaped bldg. Assume that the foundation is under the entire bldg. Unit weight of soil is 17.50 kN/m.QUESTION 1 A 300mm x 600mm prestressed beam has a prestress loss of 15%. Neglecting weight of beam, find P and e 25. When the compressive stress (top and bottom) is 24 MPa. c. P = 4982 kN d. P - 5085 kN 26. When the compressive stress at the bottom is 12 MPa. While that at the top is 2 MPA in tension. a. P - 1059 kN, e - 140 b. P = 1059 kN, e = 100 c. P - 1259 kN, c - 140 d. P = 1159 KN, e = 130 27. When the compressive stress at the bottom is 16 MPa while that at the top is zero. a. P = 1094 kN, e = 140 b. P = 1694 kN, e = 100 c. P = 1294 kN, e = 140 d. P = 1194 kN, c = 130 a. P = 5782 kN b. P - 6082 kN QUESTION 2 A rectangular channel 5.8 m wide by 1.4 m deep was laid to have a hydraulic slope of 0.001. Using n = 0.013. Determine the velocity of the channel. c. 1.29 m/s d. 3.81 m/s . 2.34 m/s .. 4.25 m/s QUESTION 3 A 1.5 mx 4 m tank is shown below. Find h. a. 1.35 m c. 1.75 m b. 1.25 m d. 1.05 m 3.0m Oll C 0.5m water V8 4.0m QUESTION 4 A compound curve has a common tangent equal to…A vertical load Wis applied on a rigid plate supported on three vertical concrete pillars each 250 mm x 250 mm in cross-section. Initially the outer pillars are 1.75 m high while the middle pillar is 0.35 mm shorter. Find the safe load W, if the stress in concrete in outer pillar should not exceed 3.5 N/mm². Take E = 12500 N/mm². 1.75 m- WI 0.35 mm