Fundamentals of Geotechnical Engineering (MindTap Course List)
5th Edition
ISBN: 9781305635180
Author: Braja M. Das, Nagaratnam Sivakugan
Publisher: Cengage Learning
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Question
Chapter 15, Problem 15.25CTP
(a)
To determine
Check the stability with respect to sliding and overturning based on the active earth pressures using Coulomb’s earth pressure theory.
(b)
To determine
Check the stability with respect to sliding and overturning based on the active earth pressures using Rankine’s earth pressure theory.
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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.
A 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.
A 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.
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. [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
- A vertical parabolic curve has a back tangent of -5% and a forward tangent of +3% intersecting at station 1 + 240 at an elevation of 100m. If the stationing of PC is at 1 + 120, Evaluate the elevation at the third quarter point.arrow_forwardREINFORCED CONCRETE DESIGNFLEXURAL ANALYSIS OF BEAMS (CRACKED SECTION)Solution must be completeUse ballpen/inkpenAnswer in two decimal placesBox your final answerarrow_forwardWhat is the volume of the earth's mantle in cubic kilometers? (tute problem 4d) Note: enter the number without units. For large (or small) numbers, use E notation, e.g. three million is equivalent to 3*10^6 which is 3E6 in E notation.arrow_forward
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