ENGINEERING FUNDAMENTALS
6th Edition
ISBN: 9781337705011
Author: MOAVENI
Publisher: CENGAGE L
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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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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? (in mm^4) write the answer in ordinary notation
the relation between the spring force (f) and its deflection(x) is given in the table. using the engineering paper below, plot the force against the deflection. determine the spring constant(k), using the equation f=kx
deflection (x)
0,5,10,15,20
spring force f(N)
0,10,20,30,40
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
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_forwardGiven 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
- Consider 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_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(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
- 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
- A system of forces is acting on a rectangular plate, as shown in the figure below. The direction of the resultant force * with x-axis is j100 N A 50 N 3 m 40 N D 5 m 70 N 86.6 degrees 273.4 degrees 68.8 degrees none of the abovearrow_forward3) Nails are used to connect three boards to form a beam as shown in the figure. Each nail has a shear strength of 40ON. The beam is subjected to a vertical shear. Geometrical details are given in the figure. Calculate the allowable shear force for this beam. (Suggested time for solution is 25 mimutes) 75mm 75mm 75mim 60 mm 120mm, 60 mm 60 mm 200 mmarrow_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_forward
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