Fundamentals of Geotechnical Engineering (MindTap Course List)
5th Edition
ISBN: 9781305635180
Author: Braja M. Das, Nagaratnam Sivakugan
Publisher: Cengage Learning
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Chapter 15, Problem 15.6P
To determine
Find the factors of safety with respect to overturning, sliding, and bearing capacity failure.
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Five wood boards are bolted together to
form the built-up beam shown in the
figure. The beam is subjected to a
shear force of V = 13 kips. Each bolt
has a shear strength of Vbolt = 6 kips.
[h₁ =4.25 in., t₁ = 0.5 in., h₂ = 6 in., t₂ =
1 in.]
hi
+
hi/2
h:/2
h: 2
h
+
h/2
Determine the moment of inertia of the
section.
Determine the maximum allowable
spacing of the bolts.
Determine the shear flow in the section
connected by fasteners.
A vessel has a diameter of 1m and 2m high is moving downward with a positive acceleration of 3m/s2. The pressure at the bottom of the liquid is 9.534kPa, determine the mass of the liquid.
You are the engineer asked to design a rapid sand filtration system for a small water treatment plant.
It has the following characteristics:
Hydraulic loading rate = 6 m/h
Total volumetric flow rate of the plant = 3 MGD
Effective filtration rate = 5.8 m/h
Production efficiency = 97%
Complete (filtration, rinsing, and backwashing) filter cycle duration = 48 h
What is the area of your square filtration system? What are the surface dimensions of the filter?
What volume of water is needed for backwashing plus rinsing the filter in each rinsing cycle?
Chapter 15 Solutions
Fundamentals of Geotechnical Engineering (MindTap Course List)
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 - Refer to the braced cut in Figure 15.50, for which...Ch. 15 - For the braced cut described in Problem 15.16,...Ch. 15 - Refer to Figure 15.51 in which = 17.5 kN/m3, c =...Ch. 15 - Refer to Figure 15.27a. For the braced cut, H = 6...Ch. 15 - Prob. 15.20PCh. 15 - Determine the factor of safety against bottom...Ch. 15 - Prob. 15.22PCh. 15 - The water table at a site is at 5 m below the...Ch. 15 - Prob. 15.24PCh. 15 - Prob. 15.25CTPCh. 15 - Figure 15.53 below shows a cantilever sheet pile...
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- Five wood boards are bolted together to form the built-up beam shown in the figure. The beam is subjected to a shear force of V = 14 kips. Each bolt has a shear strength of V bolt = 6 kips. [h₁ = 4 in., t₁ = 0.75 in., h₂ = 6.5 in., t₂ = 1.25 in.] h/2 + hi/2 h:/2 h: 2 hi + hiz Determine the moment of inertia of the section. Calculate the shear force in each bolt. Calculate the shear stress in the bolts.arrow_forwardA box beam is fabricated from two plywood webs that are secured to lumber boards at its top and bottom flanges. The beam supports a concentrated load of P = 4100 lb at the center of a 13-ft span. Bolts (3/8-in. diameter) connect the plywood webs and the lumber flanges at a spacing of s = 9 in. along the span. Supports A and C can be idealized as a pin and a roller, respectively. [w = 4.5 in., b = 0.25 in., t = 5 in., h = 17 in.] B Determine the maximum horizontal shear stress in the plywood webs. Determine the average shear stress in the bolts. Determine the maximum bending stress in the lumber flanges.arrow_forwardA cantilever flexural member is fabricated by bolting two identical C- section steel shapes back to back as shown in the figure. The beam has a span of L = 1300 mm and supports a concentrated load of P = 800 N. The cross-sectional dimensions of the built- up shape are shown in the figure. Assume the section has a constant thickness of t = 2.5 mm. Bolts of 3.5 mm diameter are installed at intervals of s = 65 mm.[b = 100 mm, a = 25 mm] b T Determine the shear flow in the sections connected by the fasteners. Calculate the shear force in each bolt. Calculate the shear stress in the bolts.arrow_forward
- Five wood boards are bolted together to form the built-up beam shown in the figure. The beam is subjected to a shear force of V = 14 kips. Each bolt has a shear strength of V bolt = 6 kips. [h₁4 in., t₁ = 0.75 in., h₂ = 6.5 in., t₂ = 1.25 in.] hi/2 h/2 h2 h:/2 hi/2 + h2 Determine the moment of inertia of the section. Determine the shear flow in the section connected by fasteners. Determine the maximum allowable spacing of the bolts.arrow_forwardTwo built-up beams shown in the figure below have the same dimensions and are connected by the same types of nails with the same spacing. Which beam could carry more shear force if the controlling factor is the shear flow in the fasteners? Nails Beam (1) Z Beam (2) Beam (2) Beam (1) Both are the same Cannot answer without knowing the shear diagram Cannot answer without knowing the modulus of rigidity Nailsarrow_forwardTwo built-up beams shown in the figure below have the same dimensions and are connected by the same types of nails with the same spacing. Which beam could carry more shear force if the controlling factor is the shear flow in the fasteners? Nails Beam (1) Beam (2) Cannot answer without knowing the shear diagram Beam (1) Cannot answer without knowing the modulus of Nailsarrow_forward
- 8-51. Determine the horizontal displacement at C. Take E = 29(10³) ksi, I = 150 in for each member. Use the method of virtual work. 8ft 10 ft Barrow_forward5. Problem 8-46 on Page 374. 8-46. The L-shaped frame is made from two fixed-connected segments. Determine the vertical displacement of the end C. Use the method of virtual work. El is constant. -9 ft- 2 k/ft 12 ftarrow_forwardHOMEWORK (1) For the plan and section of the wall shown below, calculate the following: - 1. the length of footing excavation 2, the length of bricks work under D.P.C for each step by using: a) Centre line method b) Long wall-short wall method عرف الحق Im D.P.C 1.00 m Section 0.24 m 0.36 m 0.48 m 15 m r N 8 m 5 m Plan Farrow_forward
- following: 1. the length of footing excavation 2. the length of bricks work under D.P.C for each step by using: a) Centre line method b) Long wall-short wall method D.P.C 1.00 m 0.24 m 0.36 m y0.48 m 15 m Section. N A k W 8 m 5 m زف الحو 不 Z Plan ate the Larrow_forwardPage 3 3.5) Using the Method of Components, determine the magnitude, the direction, and the sense of the resultant for the coplanar concurrent force system shown below. Y 76 lbs 10 kips 4 3 0 Y 12 kips 5 12 > x 60 lbsarrow_forwardREINFORCED CONCRETE DESIGNFLEXURAL ANALYSIS OF BEAMS (CRACKED SECTION)Solution must be completeUse ballpen/inkpenAnswer in two decimal placesBox your final answerarrow_forward
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