Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
5th Edition
ISBN: 9781305084766
Author: Saeed Moaveni
Publisher: Cengage Learning
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Chapter 4, Problem 20P
To determine
Plot the graph for the given data by using engineering paper and incorporate the engineering problem solving format in the solution as discussed in chapter 4.
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Students have asked these similar questions
6.21 A cantilever beam shown in the accompanying
figure is used to support a load acting on a
balcony. The deflection of the centerline of
the beam is given by the equation:
- wx?
y=
-(x² – 4 Lx + 6L²)
24 EI
where
y = deflection at a given x location, (m)
w = distributed load
E = modulus of elasticity (N/m²)
I = second moment of area (m²)
x = distance from the support as shown (m)
L = length of the beam (m)
What is the appropriate unit for w if the
preceding equation is to be homogeneous in
units? Show all steps of your work.
Problem 6.21 A cantilever beam.
For the section shown in the figure below, determine the moment of inertia with respect to the Y-axis
300 mm
40 mm
40 mm
30°
200 mm
X'
tw = 40 mm
X
The cantilevered beam shown in the accompanying figure is used to support a load acting on a balcony. The deflection of the centerline of the beam is given by the following equation: y = deflection at a given x location (m)w = distributed load (N/m)E = modulus of elasticity (N⁄m2 )I = second moment of area (m4 )x = distance from the support as shown ( x )L = length of the beam (m) Using Excel, plot the deflection of a beam whose length is 5 m with themodulus of elasticity of E = 200 GPa and I = 99.1×106 mm4 . The beam is designed to carry a load of 10,000 N/m. What is the maximum deflection of the beam?
Chapter 4 Solutions
Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
Ch. 4.2 - Prob. 1BYGCh. 4.2 - Prob. 2BYGCh. 4.3 - Prob. 1BYGCh. 4.3 - Prob. 2BYGCh. 4.3 - Prob. 3BYGCh. 4.5 - Prob. 1BYGCh. 4.5 - Prob. 2BYGCh. 4 - Prob. 1PCh. 4 - Prob. 2PCh. 4 - Prob. 3P
Ch. 4 - Prob. 4PCh. 4 - Prob. 14PCh. 4 - Prob. 15PCh. 4 - Prob. 16PCh. 4 - Prob. 17PCh. 4 - Prob. 18PCh. 4 - Prob. 19PCh. 4 - Prob. 20PCh. 4 - Present Example 6.1 in Chapter 6 using the format...Ch. 4 - Present Example 6.3 in Chapter 6 using the format...Ch. 4 - Present Example 7.1 in Chapter 7 using the format...Ch. 4 - Present Example 7.4 in Chapter 7 using the format...Ch. 4 - Prob. 25PCh. 4 - Present Example 8.4 in Chapter 8 using the format...Ch. 4 - Prob. 27PCh. 4 - Present Example 9.4 in Chapter 9 using the format...Ch. 4 - Prob. 29PCh. 4 - Prob. 30PCh. 4 - Prob. 31PCh. 4 - Prob. 32PCh. 4 - Prob. 33PCh. 4 - Prob. 34PCh. 4 - Prob. 35P
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- A system of Forces is shown in the Figure. All length units are in meters. Determine the angle that the resultant force makes with the horizontal.arrow_forwardWe have used an experimental setup similar to Example 10.1 to determine the value of a spring constant. The deflection caused by the corresponding weights are given in the accompanying table. What is the value of the spring constant? Weight (lb) The Deflection of the Spring (in.) 5.0 0.48 10.0 1.00 15.0 1.90 20.0 2.95arrow_forwardSuppose we have a uniform beam that is 3.73 metres long has a flexural rigidity of 34301Nm. Find the deflection of the beam in millimetres if the beam is under a uniform load of 86N/m and is supported with simple supports at both ends. Fill out the table below with your answers. x�-coordinate Deflection (mm��) x=0.22 y(x)= x=1.38 y(x) = x=2.05 y(x) = x=2.98 y(x) = x=3.58 y(x) = Enter as many decimal places as your calculator allows (8 to 10). Your answer must be within ±0.0005±0.0005 of the correct answer to be considered correct.arrow_forward
- Given a cantilever beam with given loadings and cross-section as shown in the figures, what is the second moment of area ( moment of inertia) of the diamond cross-section? (in mm^2) write the answer in ordinary notationarrow_forward(Figure 1) Figure 30 mm 140 mm, 30 mm 30 mm 70 mm 30 mm 170 mm 1 of 1 Part A Determine the distance to the centroid C of the beam's cross-sectional area. Express your answer to three significant figures and include the appropriate units. X = Submit Part B Īy = Value μA Submit < Return to Request Answer Compute the moment of inertia Iy about the y' axis. Express your answer to three significant figures and include the appropriate units. Value Request Answer Units ignment Units ? Provide Feedback ?arrow_forwardConsider the T-beam shown in (Figure 1). Suppose that a = 80 mm, b=160 mm, c = 10 mm. Figure < 1 of 1 Determine y, which locates the centroidal axis x' for the cross-sectional area of the T-beam. Express your answer to three significant figures and include the appropriate units. y = Submit Part B IT' = Submit Part C Value Determine the moment of inertia I. Express your answer to three significant figures and include the appropriate units. Request Answer Iy' = Value Request Answer Units Value Units ? Determine the moment of inertia Iy'. Express your answer to three significant figures and include the appropriate units. Units ? ?arrow_forward
- Suppose we have a uniform beam that is 3.40metres long has a flexural rigidity of 31915N Find the deflection of the beam in millimetres if the beam is under a uniform load of 24Nmand is supported with simple supports at both ends. Fill out the table below with your answers. x�-coordinate Deflection (mm��) x=0.14 y(x)�(�) = x=1.12 y(x)�(�) = x=1.80 y(x)�(�) = x=2.65 y(x)�(�) = x=3.06 y(x)�(�) = Enter as many decimal places as your calculator allows (8 to 10). Your answer must be within ±0.0005±0.0005 of the correct answer to be considered correct.arrow_forwardQuestion 3: Open Ended The beam in the following diagram has the following numerical values in stiffness: 77 Stiffness in bending = 1 Stiffness in axial tension = 1 What would the new values of stiffness in bending and axial tension be if the Height of beam is doubled while the Width remains constant? What would the new values of stiffness in bending and axial tension be if the Width of beam is doubled while the Height remains constant?arrow_forwardThe figure shows a pellet about to be fired from a sling. The total unstretched length of the rubber band is 80mm. The rubber band elongates 1mm for every 15N force.Given: a=100mm b=40mm 1. As the pellet is about to be released, how much is the elongation on each leg (mm) of the rubber band? 2. What is the force (N) exerted on each leg of the rubber band? 3. What is the pulling force (N)?arrow_forward
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