Elementary Surveying: An Introduction To Geomatics (15th Edition)
15th Edition
ISBN: 9780134604657
Author: Charles D. Ghilani
Publisher: PEARSON
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Chapter 1, Problem 1.5P
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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)
For the control system Draw Nyquist Plot with
Solution
G(S)= 63.625 (S+1)(S+3)
S(S+2)(5+65+18) (5+5)
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Elementary Surveying: An Introduction To Geomatics (15th Edition)
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- Q3: Find the support reactions at A: y mm A P=last 2 student's ID#+100 (N) 124N last 3 student's ID# (mm) 724mm 20 mm D B C X last 3 student's ID#+20 mm 744mm 40 mm 60 mmarrow_forwardA hoist trolley is subjected to the three forces shown. Knowing that α = 40°, determine (a) the required magnitude of the force P if the resultant of the three forces is to be vertical, (b) the corresponding magnißide of the resultant. α 724lb last 3 student's ID# lb α last 2 student's ID#+100 lb 124lb Parrow_forwardFive 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_forward
- 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.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_forwardFive 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_forward
- 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.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_forwardFive 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_forward
- Two 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_forward8-51. 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_forward
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