Applied Statics and Strength of Materials (6th Edition)
6th Edition
ISBN: 9780133840544
Author: George F. Limbrunner, Craig D'Allaird, Leonard Spiegel
Publisher: PEARSON
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Chapter 18, Problem 18.34SP
Calculate the Euler buckling load for a pin-connected axially loaded steel rod having a diameter of 25 mm. The length of the rod is
a. 1m
b. 2m
c. 4m
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To calculate the maximum axial loads for a column based on yielding and buckling
about both axes, and allowing for factors of safety.
The critical load P for buckling of a column depends on the vertical distance between
supports and how the column is connected to those supports. The length L in the
T'EI
formula Per
=-
is the distance between points of zero moment. For a pin-
L2
supported column, this is the full height of the column.
For a column that is not pinned at both ends, the points of zero moment are not at the
supports. The equation for the critical load can be modified to use an effective length
Le = KL, where K depends on the support conditions. For a column fixed at both
ends, K = 0.5. For a column fixed at one end and pinned at the other, K = 0.7
(Figure 1). The equation for the critical load then becomes
’EI
Pa
(KL)²
Two helical coil springs are made from a steel bar radius of 20 mm. One spring has an outer and inner diameter of 10 cm and 6 cm respectively while the other one has a coil diameter of 12 cm. The springs have 20 turns each. What is the equivalent stiffness of the assembly if:
a. the spring with the smaller coil diameter is placed inside the spring with the larger coil diameter;
b. the spring with the smaller coil diameter is placed on top of the spring with the larger coil diameter.
c. the spring rate equivalent at (a) is parallel with the spring rate equivalent at (b)
d. the spring rate equivalent at (a) is in series with the spring rate equivalent at (b)
e. the derived spring rate equivalent equation at (c)
f. the derived spring rate equivalent equation at (d)
Chapter 18 Solutions
Applied Statics and Strength of Materials (6th Edition)
Ch. 18 - Calculate the Euler buckling load for an axially...Ch. 18 - Calculate the Euler buckling load for a...Ch. 18 - A pin-connected axially loaded compression member...Ch. 18 - Prob. 18.4PCh. 18 - Plot a curve showing the relationship of feversus...Ch. 18 - A W1222 structural steel wide-flange section is...Ch. 18 - Prob. 18.7PCh. 18 - Calculate the allowable axial compressive load for...Ch. 18 - A W20059 structural steel wide-flange section is...Ch. 18 - Use Euler’s formula and a factor of safety of 2.5...
Ch. 18 - For Problems 18.11 through 18.17, unless otherwise...Ch. 18 - For Problems 18.11 through 18.17, unless otherwise...Ch. 18 - For Problems 18.11 through 18.17, unless otherwise...Ch. 18 - For Problems 18.11 through 18.17, unless otherwise...Ch. 18 - For Problems 18.11 through 18.17, unless otherwise...Ch. 18 - For Problems 18.11 through 18.17, unless otherwise...Ch. 18 - Prob. 18.17PCh. 18 - For Problems 18.18 through 18.21, use the...Ch. 18 - For Problems 18.18 through 18.21, use the...Ch. 18 - For Problems 18.18 through 18.21, use the...Ch. 18 - For Problems 18.18 through 18.21, use the...Ch. 18 - For Problems 18.22 through 18.26, assume normal...Ch. 18 - For Problems 18.22 through 18.26, assume normal...Ch. 18 - For Problems 18.22 through 18.26 assume normal...Ch. 18 - For Problems 18.22 through 18.26, assume normal...Ch. 18 - For Problems 18.22 through 18.26, assume normal...Ch. 18 - For the following computer problems, any...Ch. 18 - For the following computer problems, any...Ch. 18 - Calculate the Euler buckling load for an axially...Ch. 18 - 18.32 Calculate the Euler buckling load for an...Ch. 18 - 18.33 A structural steel shape of ASTM A992 steel...Ch. 18 - Calculate the Euler buckling load for a...Ch. 18 - 18.35 Rework Problem 18.34 assuming that the...Ch. 18 - 18.36 A built-up steel column is made by welding a...Ch. 18 - A 2-in-diameter standard-weight steel pipe is used...Ch. 18 - A structural steel column is 30 ft long and must...Ch. 18 - 18.39 Compute the allowable axial compressive load...Ch. 18 - 18.40 Determine the allowable axial compressive...Ch. 18 - 18.41 Using the AISC column approach, compute the...Ch. 18 - Using the AISC column equations, select the...Ch. 18 - Select the lightest extrastrong steel pipe section...Ch. 18 - 18.44 Compute the required diameter of a steel...Ch. 18 - 18.45 A 19-mm-diameter steel rod is 350 mm in...Ch. 18 - 18.46 A pin-connected linkage bar is 16 in. long...Ch. 18 - Prob. 18.47SPCh. 18 - Prob. 18.48SPCh. 18 - Prob. 18.49SPCh. 18 - Prob. 18.50SPCh. 18 - Prob. 18.51SP
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