Traffic and Highway Engineering
5th Edition
ISBN: 9781305156241
Author: Garber, Nicholas J.
Publisher: Cengage Learning
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Chapter 6, Problem 6P
To determine
Density and occupancy.
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W10 x 33
A992 steel
[x=
ry=9
Q2) Does the column shown in Figure below have enough
available strength to support the given service loads?
a. Use LRFD.
b.Use ASD
D= 180k
L = 540*
W14 x 90
13'
A992 steel
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Statics Beam Problem – Find Reactions, Shear, Moment, and Deflection
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Determining the three reactions at the supports.
Drawing the shear force diagram.
Drawing the bending moment diagram.
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Chapter 6 Solutions
Traffic and Highway Engineering
Ch. 6 - Prob. 1PCh. 6 - Prob. 2PCh. 6 - Prob. 3PCh. 6 - Prob. 4PCh. 6 - Prob. 5PCh. 6 - Prob. 6PCh. 6 - Prob. 7PCh. 6 - Prob. 8PCh. 6 - Prob. 9PCh. 6 - Prob. 10P
Ch. 6 - Prob. 11PCh. 6 - Prob. 12PCh. 6 - Prob. 13PCh. 6 - Prob. 14PCh. 6 - Prob. 15PCh. 6 - Prob. 16PCh. 6 - Prob. 17PCh. 6 - Prob. 18PCh. 6 - Prob. 19PCh. 6 - Prob. 20PCh. 6 - Prob. 21PCh. 6 - Prob. 22PCh. 6 - Prob. 23PCh. 6 - Prob. 24PCh. 6 - Prob. 25PCh. 6 - The arrival times of vehicles at the ticket gate...Ch. 6 - Prob. 27P
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- In one of the construction projects, a bulldozer is used for a weekly rent of $150, with a work rate of 10 hours per day, 50 minutes per hour, and 6 days per week. If you know that the dimensions of the bulldozer blade are 3 lengths and 1 m height, the slope of the pushed soil is (1:1), its speed when loaded is 45 m/min and when returning is 80 m/min, and the time for loading, unloading, and changing is 0.35 minutes, the transported soil is sandy, weighing 1650 kg/m3 by Bank volume and 1300 kg/m3 by loose volume, the transport distance is 300 m. If you know that using a tractor shovel costs $0.5 per m3, ma a decision about choosing the economical equipment to use in the project.arrow_forward/ An irrigation project requires digging and paving an irrigation canal with alength of (30 km) and a semi-circular section with a diameter of (8 m). The work mustmbe completed within one year, and in the event of delay, a fine delay of $200/day. You have two options for work: 1st Option: using standard equipment (excavators, graders and hand labor) had a cost of $10/m3, the job will be finish without delay. 2nd Option: Use a channel trimmer machine with the following specifications: Purchase price ($70,000), it can be sold after its economic life of (5 years) for ($30,000), its speed (10m/hr), engine diesel with (250 hp) and its work 48 minutes/hr, capacity of crankcase is (50 liters), the number of hours between changing the oil (100 hr), the maintenance cost is (80%) of its depreciation, the price of one liter of fuel ($0.5/liter) and of oil ($1/liter), the operators' wages ($15,000/year), annual operating hours (2000 hr), and the owner must pay taxes of 10% of the average value of…arrow_forwardsubjectarrow_forward
- Example 5.2: Design Example of a Square Foundation for a Colum Figure A.3a shows a square column foundation with the followin conditions: Live load=L=675 kN Dead load D= 1125 kN Allowable gross soil-bearing capacity 145 kN/m² Column size-0.5 m x 0.5 m -20.68 MN/m² 1,413.7 MN/m² Let it be required to design the column foundation. 1.25m-D L-675 AN D-1125 AN (a) Column section- 05 m x 0.5marrow_forwardExample 5.3: Design Example of a Rectangular Foundation for Column This section describes the design of a rectangular foundation to support a column having dimensions of 0.4 m x 0.4 m in cross section. Other details are as follows: Dead load D= 290 kN Live load L= 110 kN Depth from the ground surface to the top of the foundation = 1.2 m Allowable gross soil-bearing capacity = 120 kN/m² Maximum width of foundation = B = 1.5 m f, = 413.7 MN/m² f=20.68 MN/m² Unit weight of soil = y = 17.27 kN/m³ Unit weight of concrete = y₁ = 22.97 kN/m³ General Considerations For this design, let us assume a foundation thickness of 0.45 m (Figure A.4a). The weight of foundation/m² = 0.45 y = (0.45) (22.97) = 10.34 kN/m², and the weight of soil above the foundation/m² = (1.2)y = (1.2) (17.27) = 20.72 kN/m² Hence, the net allowable soil- bearing capacity Iqata] =120-10.34-20.72 = 88.94 kN/m² The required area of the foundation = (D+L)/4(all) = (290 + 110)/88.94 = 4.5 m². Hence, the length of the foundation…arrow_forwardProblem 1 You are in the process of designing a water supply system for the whole lligan City, and the design life of your system is to end in the year 2070. The population in the town has been measured every 10 years since 1980 by the Philippine Statistics Authority, and the reported populations are tabulated below. Estimate the population in the town using (a) arithmetic growth projection, (b) geometric growth projection (exponential formula), (c) declining growth projection (assuming a saturation concentration of 480,000 people), and (d) logistic curve projection. Year Population 1980 167,358 1990 226,568 2000 285,061 2010 322,821 2020 342,618arrow_forward
- A frame is loaded by a force Q = 280 N and supported by pins at points B and C as shown below. The distances are given as a = 0.4 m, b = 0.8 m, c = 0.6 m, d = 2.6 m, and e = 1.5 m. b C с d a A B Q D e Determine the reactions at joints B and C. Report all answers in units of N with 2 decimal places of precision. Positive signs indicate that a force component acts in the positive axis direction (i.e. up or right), while a negative sign should be used to indicate a force component acting in a negative axis direction (i.e. down or left). The x-component of the reaction force at joint B, Bx = NⓇ The y-component of the reaction force at joint B, By = NⓇ NⓇ The x-component of the reaction force at joint C, Cx = The y-component of the reaction force at joint C, C₁ = N Numberarrow_forwardD Ø A vertical pole supports a horizontal cable CD and is supported by a ball-and-socket joint at A as shown in the figure below. Cable CD is parallel to the x-z plane (which implies that a vector from C to D has no y-component) and is oriented at an angle = 20° from the x-y plane. The distances are given as h = 10 m, b = 6 m, a = 9 m, and d = 4 m. y a b B The magnitude of the tension force in cable BE, TBE = KN ® F® Determine the following forces for this system if there is a 15 kN tension carried in cable CD. Report all answers in units of kN with 1 decimal place of precision. For the components of the reaction at A, be sure to use a positive or negative sign to indicate the direction of the force (negative signs if the force acts in the negative axial direction). The magnitude of the tension force in cable BF, TBF = KN The x-component of the reaction at joint A, Ax The y-component of the reaction at joint A, A, ®®® The z-component of the reaction at joint A, Az = = KN = KN KNarrow_forward(10 points) Problem 4. Suppose only through traffic is allowed on an intersection approach, and traffic arrive at a constant rate of 400 veh/h. Their effective green time is set to 15 seconds. Cycle length is 60 seconds. Estimate the average delay for that approach. Use a saturation flow rate of 1750 veh/h; D/D/1 queuing. Centenniam ad) of gy dov yasm wof ni emilarrow_forward
- A vertical pole supports a horizontal cable CD and is supported by a ball-and-socket joint at A as shown in the figure below. Cable CD is parallel to the x-z plane (which implies that a vector from C to D has no y-component) and is oriented at an angle = 20° from the x-y plane. The distances are given as h = 10 m, b = 6 m, a = 9 m, and d = 4 m. D C a B Determine the following forces for this system if there is a 15 kN tension carried in cable CD. Report all answers in units of kN with 1 decimal place of precision. For the components of the reaction at A, be sure to use a positive or negative sign to indicate the direction of the force (negative signs if the force acts in the negative axial direction). The magnitude of the tension force in cable BE, TBE = KN ☑ The magnitude of the tension force in cable BF, TBF = KN The x-component of the reaction at joint A, Ax = ☑ KN The y-component of the reaction at joint A, A, = KN The z-component of the reaction at joint A, Az = KN ☑arrow_forwardA vertical pole supports a horizontal cable CD and is supported by a ball-and-socket joint at A as shown in the figure below. Cable CD is parallel to the x-z plane (which implies that a vector from C to D has no y-component) and is oriented at an angle : = 20° from the x-y plane. The distances are given as h = 10 m, b = 6 m, a = 9 m, and d = 4 m. D C a B x Determine the following forces for this system if there is a 15 kN tension carried in cable CD. Report all answers in units of kN with 1 decimal place of precision. For the components of the reaction at A, be sure to use a positive or negative sign to indicate the direction of the force (negative signs if the force acts in the negative axial direction). The magnitude of the tension force in cable BE, TBE = 4.1 KN The magnitude of the tension force in cable BF, TBF = 41.1 KN The x-component of the reaction at joint A, Ax = 309.C KN ®®®® F The y-component of the reaction at joint A, Ay = -216. KN The z-component of the reaction at…arrow_forwardA small barrel weighing 400 N is lifted by a pair of tongs as shown. Knowing that h = 200 mm, L₁ = 400 mm, L2 = 120 mm and L3 = 200 mm, determine the magnitude of the forces exerted on member ABD of this machine structure. C L2 A P L1 L3 B D Report your answers in units of N with 2 decimal places of precision. N. The magnitude of the force acting at joint B = The magnitude of the force acting at joint D = N.arrow_forward
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