Traffic And Highway Engineering
5th Edition
ISBN: 9781337631020
Author: Garber, Nicholas J.
Publisher: Cengage,
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Chapter 14, Problem 11P
To determine
The elevation of the two points A and C and the distance between them.
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Q2) Determine the bar forces and reactions of the truss. ABD= 4 in², A= 2 in² and
E=30000 kips/in².
A
D
20 ft
60 kips
15 ft
B
L
h
Water
Fig. P4
Hinge
F
Someone wants to study environmental engineering in a European country for 8 years and wants to deposit an amount of money in one of the approved banks for the purpose of paying his annual study expenses, where it is planned that he will withdraw $2000 annually after one year from the date of deposit for a period of five consecutive years, and then withdraw $3000 annually for the remaining period of his studies. Calculate the amount required to be deposited for the purpose of covering the study expenses if you know that the interest rate is 8.5%
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- Design a typical girder for the floor system shown in the figure below. In addition to the weight of the beam, the dead load consists of a 5-inch-thick reinforced concrete slab (normal-weight concrete). The live load is 85 psf, and there is a 20-psf partition load. Do not check deflections. Assume that the girder is supporting beams on each side, and assume that the beams weigh 35 lb / ft. Let all the loads on the girder act as a uniform load (be sure to include the weight of the beams). 30' A -4 @ 5' = 20' Use the table below. - Mn (ft-kips) Mn/ (ft-kips) | Vn (kips) Vn/v (kips) Shape W21 × 48 398 265 216 144 W12 × 58 324 216 132 87.8 W16 × 45 309 205 167 111 W18 × 40 294 196 169 113 a. Use LRFD. Calculate the required moment strength and the maximum shear. (Express your answers to three significant figures.) Mu - Vu Select a shape: -Select- b. Use ASD. ft-kips kips Calculate the required moment strength and the maximum shear. (Express your answers to three significant figures.) Ma =…arrow_forwardWater in a tank is used to control the water pressure in a pipe as shown in Figure P5 below. Find the pressure in the pipe at A if h = 200 mm and the mercury is at the elevation shown (between points B and C). Assume standard atmospheric pressure and neglect the diameter of the pipe. Express your answer in kPa.arrow_forwardSelect a W-shape for the following conditions: Beam spacing = 12 ft Span length = 25 ft Slab and deck combination weight = 43 psf Partition load = 20 psf Ceiling weight = 5 psf Flooring weight = 2 psf Live load 160 psf Fy = 50 ksi The maximum live load deflection cannot exceed L/340. Shape Mp (ft-kips) M₁/ (ft-kips) Vn (kips) Vn/v (kips) Ix (in. Vn/n, (kips) I. (in.) W14 × 61 383 254 156 104 640 W21 × 44 358 238 217 145 843 W16 × 50 345 230 186 124 659 W18 × 46 340 226 195 130 712 a. Use LRFD. Calculate the required moment of inertia, the required moment strength, and the maximum shear. (Express your answers to three significant figures.) Ix = in. 4 Μι = Vu Select a shape: -Select- b. Use ASD. ft-kips kips Calculate the required moment of inertia, the required moment strength, and the maximum shear. (Express your answers to three significant figures.) Ix Ma = Va = Select a shape: -Select- 4 in. ft-kips kipsarrow_forward
- The beam shown in the figure below has continuous lateral support of both flanges. The uniform load is a service load consisting of 70% dead load and 30% live load. The dead load includes the weight of the beam. 6 k/ft +9 18' If A992 steel is used, is a W12 × 35 adequate? For A992 steel: Fy = 50 ksi. bf h For W12 x 35: = 6.31, = 36.2 in., Zx 2tf tw (Express your answers to three significant figures.) a. Use LRFD. Mu Фомп = ft-kips ft-kips A W12 × 35 is -Select- b. Use ASD. Ma = ft-kips Mn ft-kips 26 A W12 × 35 is -Select- = +6→ 51.2 in. 3arrow_forwardVerify the value of Zx for a W10 × 30 that is tabulated in the dimensions and properties tables in Part 1 of the Manual. For W10 × 30: Ag Use the table below. - 8.84 in.2, d 10.5 in. AISC Manual Label y (in.) WT 9 × 25 2.12 WT 8 × 25 1.89 WT 7 × 24 1.35 WT 6 × 25 1.17 WT 5 × 15 1.10 (Express your answer to three significant figures.) Zx = 3 in.arrow_forwarddetermine the horizontal displacement of joint A of the truss. Each member has a cross sectional area of A=300mm2, E=200GPa. Use the method of virtual work and show all workingarrow_forward
- For the frame shown below, determine the vertical displacement at C. Assume that flexural rigidities AB and BC segments are EI and 2EI, respectively. Use the method of virtual work and show all working.arrow_forwardDETERMINE THE BEARINGS OF THE POLYGON/TRAVERSEarrow_forward54 7h de зк +F B + 8 8 Ө 6 A=Sin² E=290ooks for diagonal members A= 30.25in² E = 1800 ksi for hoizontal & Vertical members For Primary Structure revive roller@c, make Da roller and cut BF For redundant structures Redundant " " 2 склес しん Ik @D 3 14 @ BF しん ↑arrow_forward
- A3.2- The 4.5m long cantilever beam is subjected to the specified uniformly distributed dead load 7.0 kN/m (including self-weight) and to the specified uniformly distributed live load 8.0 kN/m. The beam is made of normal density concrete containing maximum 20mm aggregate size with f'c = 25 MPa. Design the shear reinforcement for the beam using U-stirrups and fy = 400 MPa. Figure 2 WDL = 7.0 kN/m WLL=8.0 kN/m 4.5 m 450 mm' 380 mm *250 mm 3-30M Cross-sectionarrow_forwardA3.1- A simply supported beam is subjected to factored concentrated load of 400 kN at mid-span. The beam has a 10m span and a rectangular cross-section with bw = 350mm, effective depth d = 520mm, and total height h = 620mm. a) Ignor the self-weight of the beam and design the required shear reinforcement for the beam. Use 10M U-stirrups. b) Sketch the beam elevation and show the stirrups. Given: The beam is reinforced with 5-25M longitudinal bars f'c = 30 MPa fy = 400 MPa Maximum aggregate size: 20mm Figure 1 P= 400 kN k 5.0 m + 5.0 m 620 mm 520 mm 350 mm + Cross-sectionarrow_forward+ 54 7h de зк +F 8 B 8 Ө 6 For Primary Structure remove and cut BF For redundant structures Redundant " " 2 склес しん Ik @D 3 14 @ BF しん ↑ A=Sin² E=290ooks for diagonal members A= 30.25in² E = 1800 ksi for hoizontal & Vertical members roller@G, make Da rollerarrow_forward
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