Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
5th Edition
ISBN: 9781305084766
Author: Saeed Moaveni
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Question
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.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Please show the solutions. thanks
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
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
Knowledge Booster
Similar questions
- 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?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
- Don't copyarrow_forwardIn the accompanying diagram, spring A is a linear spring and spring B is a hard spring, with characteristics that are described by the relationship F = kxn . Determine the stiffness coefficient k for each spring. What is the exponent n for the hard spring? In your own words, also explain the relationship between the spring force and the deflection for the hard spring and how it differs from the behavior of the linear spring.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
- Please solve it correctly with diagram. [Handwritten]arrow_forwardSuppose 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_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_forward
- Question 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_forwardSubject: Mechanics of Fluids Please include complete units of measurement. Show complete solutions. Write legibly Choose the answer below.arrow_forwardFor the cantilever beam relationship given in Problem 6.21, if the units of y, w, E, x , and L are expressed in in., lbf⁄in, lbf⁄in2 , in., and in., respectively, what are the appropriate units for I ?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Engineering Fundamentals: An Introduction to Engi...Civil EngineeringISBN:9781305084766Author:Saeed MoaveniPublisher:Cengage Learning
Engineering Fundamentals: An Introduction to Engi...
Civil Engineering
ISBN:9781305084766
Author:Saeed Moaveni
Publisher:Cengage Learning