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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Textbook Question
Chapter 18, Problem 18.5P
Plot a curve showing the relationship of feversus L/r for steel columns. Draw the curve for slenderness ratios that vary from 0 to 200. Assume the proportional limit = 235 MPa.
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Give the following problem a try. If you get stuck, here is one way to work it: Essential Solution Video.
If load P = 23.5 kips, determine the normal force in bar (1).
A
6 ft
49.9 kips
39.2 kips
41.5 kips
31.9 kips
23.7 kips
D
B
(1)
4 ft
P
A solid truncated cone is subject to an axial force P as shown.
The exact elongation is d = PL/ (2pc²E). Replace the cone by
n equal thickness circular cylinders and derive the
expression as a function of n, P, L, C, E. draw a graph
showing variation in elongation d with respect to n values.
Take n from 1 to 100. Given that the P = 1 kip, L = 12
inch, C= 4 inch, E = 30x10° psi.
B
2c
The figure below shows the stress-strain behavior of a mild steel (the insert shows part of the same plot, but with
different scale). This steel is used to make a rod that is 6 mm in diameter and 400 mm long. The rod is loaded in
tension until an elongation of 1.2 mm is reached.
A. Estimate the Yield Stress for the Steel.
B. Estimate the Ultimate Tensile Stress for the Steel.
C. Estimate the Elastic Modulus for the Steel.
D. Estimate the %Elongation for the Steel.
E. Estimate the Force acting on the rod necessary to achieve an elongation of 1.2mm.
F. After an elongation of 1.2mm the load on the rod is removed. Estimate the length of the rod after the load is
released.
600
500
400
500
400
300
300
200
200
100
100
0.000
0.002
0.004
0.006
Strain
0.00
0.04
0.08
0.12
0.16
0.20
Strain
Stress (MPa)
Stress (MPa)
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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- Calculate the change in dimensions in the bar.F = 12000 N; h= 0.01 m; w= 0.03 m; L = 0.8 m; E = 60 GPa; v = 0.3arrow_forwardIn Figure 1, with its dimensions, loading status and material properties, different full circle cross-section rod has been given. The AB part of the rod is steel, 100 mm in diameter; BC part is copper and its diameter It is 80 mm. (a) Draw the normal force diagram of the bar. (b) Calculate the normal stresses to occur in parts AB and BC. (c) Calculate the total length change of the rod. çelik=steel , bakır=copper L4(cm)=230 , L5(cm)=240 , P1(kN)=124 , P2(kN)=58arrow_forwardIn Figure 1, with its dimensions, loading status and material properties, different full circle cross-section rod has been given. The AB part of the rod is steel, 100 mm in diameter; BC part is copper and its diameter It is 80 mm. (a) Draw the normal force diagram of the bar. (b) Calculate the normal stresses to occur in parts AB and BC. (c) Calculate the total length change of the rod. çelik=steel , bakır=copper , şekil 1 = figure 1 L4(cm)=230 , L5(cm)=240 , P1(kN)=124 , P2(kN)=58arrow_forward
- For a circular column having its ends hinged, the slenderness ratio is 160. The L/ d ratio of the column isarrow_forwardUsing the relationship θ = TL / IpG in the above problem, again determine the diameter that is necessary to satisfy the requirement of rigidity (remembering to convert θ from degrees to radians). Considering the strength and rigidity requirements, which diameter should we choosearrow_forwardA stepped bar is subjected to an axial tensile force of 40000 lb.Compute the increase in stress due to stress concentration in the bar with D =12.00 in., d = 4.00 in., and r = 0.4 inarrow_forward
- A mild steel rod having a stress of 50 Mpa and having a diameter of 20 mm What is the force applied on it.arrow_forwardFor the following structure, represent Mohr's Circle at point K of the structure and pointSection P, demonstrating the following steps:Calculation of shear stress. - what would be the value of V in the formula to calculate the shear stress.T=VxQ/Ixt ?arrow_forwardYou are required to size member FI of the truss shown at right using Western lumber with the following properties:• Yield stress in compression: 2100 psi• Yield stress in tension: 1300 psi• Modulus of elasticity 1700 ksi.Use a factor of safety of 2.0. For the selected section:c. Calculate the stress and the strain in member FId. Calculate the deflection of member FI; specify if elongation or shortening.arrow_forward
- 1. A Rectangular bar as shown in Figure 1 is made of structural steel and subjected to a tension of 50kN. Calculate the von Mises stress and directional displacement along the tensile loading direction. Use a mesh size of 1, 2, 3 mm and tabulate the directional displacement value corresponding to the mesh size. 5 mm 100 30 Figure 1: Tensile bar with a length of 100mm, width 30mm, thickness 5 mm and fillet radius 5 mm.arrow_forwardCompute for the force in each member of the truss shown in FIGURE 1 if the members are made of structural steel with a Modulus of Elasticity of 200 GPa and a Coefficient of Thermal Expansion of 12x10^-6. Indicate in your solutions if the force is in tension or in compression.arrow_forwardm = 18kg and L = 1.28 marrow_forward
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