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 3, Problem 3.13P
To determine
Find the volume of the soil removed from the borrow pit.
Find the amount of water would be added to the soil from the borrow pit.
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Factor of Safety
Activity
The lap joint is connected by three 20-mm diameter rivets. Assuming
that the applied allowable load, P=50kN is distributed equally among
the three rivets and a factor of safety of 1.5, find:
(a) the failure shear stress in a rivet, and
(b) failure bearing stress between the plate and rivet
25 mm
25 mm
Draw the shear and moment diagrams of the beam CDE showing all calculations. Assume the support at A is a roller and B is a pin. There are fixed connected joints at D and E. Assume P equals 9.6 and w equals 0.36
Find the length of the diagonal on
the x-z plane (square root of
square of sides).
Find angle between the vector F
and its projection on x-z (the
diagonal defined above).
Find Horizontal Projection of F on
x-z plane, Fh, and vertical
component, FY.
Find projections of Fh, to define
in-plane components Fx and Fz.
Show that results match those of
Problem 2(a) above.
(2,0,4)
F₂
100 N
(5, 1, 1)
Chapter 3 Solutions
Fundamentals of Geotechnical Engineering (MindTap Course List)
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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.arrow_forwardA 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.arrow_forwardYou 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?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. [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
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