Mechanics of Materials
11th Edition
ISBN: 9780137605460
Author: Russell C. Hibbeler
Publisher: Pearson Education (US)
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Chapter 13.5, Problem 59P
To determine
The load supported by the column without failure.
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The rigid beam is supported by a pin at C and an A-36 steel guy wire AB.
Part A
If the wire has a diameter of 0.2 in., determine the distributed load w if the end B is displaced 0.25 in. downward.
Express your answer to three significant figures.
ΠΑΣΦ
W =
vec
?
kip
ft
W
-10 ft
30°
B
A steel column has a length of 5 m and is free at one end and fixed at the other end. If the cross-sectional area has the dimensions shown, determine the critical load Est = 200 GPa, sY = 360 MPa.
The outer is constructed from a 34 mm steel spring and measures 240 mm in diameter with 10 active coils. The smaller of the two concentric helical springs is constructed from a steel spring with a diameter of 20 mm and an outside diameter of 90 mm. It contains 12 active coils. The outer spring is 30 mm longer than the inner spring prior to the application of the load. G = 85 Gpa is used. When this nest of springs is subjected to an 80 kN load. Determine each spring's spring rate. (Draw the diagram)
Chapter 13 Solutions
Mechanics of Materials
Ch. 13.3 - A 50-in long steel rod has a diameter of 1 in....Ch. 13.3 - A 12-ft wooden rectangular column has the...Ch. 13.3 - The A992 steel column can be considered pinned at...Ch. 13.3 - A steel pipe is fixed supported at its ends. If it...Ch. 13.3 - Determine the maximum force P that can be...Ch. 13.3 - The A992 steel rod BC has a diameter of 50 mm and...Ch. 13.3 - Determine the critical buckling load for the...Ch. 13.3 - The 10-ft wooden rectangular column has the...Ch. 13.3 - The 10-fl wooden column has the dimensions shown....Ch. 13.3 - Determine the maximum force P that can be applied...
Ch. 13.3 - Prob. 34PCh. 13.3 - Prob. 35PCh. 13.3 - The members of the truss are assumed to be pin...Ch. 13.3 - Solve Prob. 1336 for member AB, which has a radius...Ch. 13.3 - Prob. 40PCh. 13.3 - The ideal column has a weight w (force/length) and...Ch. 13.3 - The ideal column is subjected to the force F at...Ch. 13.3 - The column with constant El has the end...Ch. 13.3 - Consider an ideal column as in Fig.13-10 c, having...Ch. 13.3 - Consider an ideal column as in Fig. 13-10d, having...Ch. 13.5 - The aluminium column is fixed at the bottom and...Ch. 13.5 - Prob. 50PCh. 13.5 - Prob. 51PCh. 13.5 - The aluminum rod is fixed at its base and free and...Ch. 13.5 - Assume that the wood column is pin connected at...Ch. 13.5 - Prob. 54PCh. 13.5 - Prob. 59PCh. 13.5 - The wood column is pinned at its base and top. If...Ch. 13.5 - The brass rod is fixed at one end and free at the...Ch. 13.5 - The brass rod is fixed at one end and free at the...Ch. 13.5 - Prob. 65PCh. 13.5 - The W14 53 structural A992 steel column is fixed...Ch. 13.5 - The W14 53 column is fixed at its base and free...Ch. 13.5 - The stress-strain diagram for the material of a...Ch. 13.5 - Construct the buckling curve, P/A versus L/ r, for...Ch. 13.5 - The stress-strain diagram of the material can be...Ch. 13.5 - The stress-strain diagram of the material can be...Ch. 13.6 - Using the AISC equations, select from AppendixB...Ch. 13.6 - Take Y = 50 ksi.Ch. 13.6 - Using the AISC equations, select from AppendixB...Ch. 13.6 - Prob. 83PCh. 13.6 - Using the AISC equations, select from AppendixB...Ch. 13.6 - Prob. 97PCh. 13.6 - Prob. 98PCh. 13.6 - The tube is 0.25 in. thick, is made of 2014-T6...Ch. 13.6 - Prob. 100PCh. 13.6 - A rectangular wooden column has the cross section...Ch. 13.6 - Prob. 102PCh. 13.7 - The W8 15 wide-flange A-36 steel column is...Ch. 13.7 - Prob. 110PCh. 13.7 - A 20-ft-long column is made of aluminum alloy...Ch. 13.7 - A 20-ft-long column is made of aluminum alloy...Ch. 13.7 - The 2014-T6 aluminum hollow column is fixed at its...Ch. 13.7 - The 2014-T6 aluminum hollow column is fixed at its...Ch. 13 - The wood column has a thickness of 4 in. and a...Ch. 13 - The wood column has a thickness of 4 in. and a...Ch. 13 - A steel column has a length of 5 m and is free at...Ch. 13 - The square structural A992 steel tubing has outer...Ch. 13 - If the A-36 steel solid circular rod BD has a...Ch. 13 - If P = 15 kip, determine the required minimum...Ch. 13 - The steel pipe is fixed supported at its ends. If...Ch. 13 - The W200 46 wide-flange A992-steel column can be...Ch. 13 - The wide-flange A992 steel column has the cross...Ch. 13 - The wide-flange A992 steel column has the cross...
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- A 100-mm-long rod has a diameter of 15 mm. If an axial tensile load of 10 kN is applied to it, determine the change in its diameter. E = 70 GPa, n = 0.35.arrow_forwardThe rigid beam is supported by a pin at C and an A-36 steel guy wire AB. Part A If the wire has a diameter of 0.2 in., determine the distributed load w if the end B is displaced 0.25 in. downward. Express your answer to three significant figures. ΠΑΣΦΑ ↓↑ vec w = Submit Request Answer ? kip ft W 10 ft 30° Barrow_forwardThe solid steel beam has a square cross sectional profile and supports a load of 65.5 kN. The steel will yield at 250 MPa. Using a factor of safety of 1.5, determine the minimum thickness (t) in mm of the beam needed to support the load. F kNarrow_forward
- The distributed load is supported by two pin-connected columns, each having a solid circular cross- section. If AB is made up of aluminum and CD of steel, determine the required diameter of each column so that both will buckle at the same time. (Esteel = 200 GPa, Sy,steel = 250 MPa, Eal = 70 GPa and Sy,al = 100 MPa). 18 kN/m 3 m 0.75 m 0.75 marrow_forwardTwo metal bars are fastened together at the bolted flange connection shown. There are 4 total bolts connecting the two metal bars together and each bolt has diameter = 50° with dbolt 12.7 mm. The flange is oriented at angle respect to longitudinal axis of the metal bars. If an axial force F = 40 kN is applied as shown, determine the overall safety factor of the bolted connection. You may assume the bolts are made out of 1020HR steel and the strength of the bolt in shear is 50% of the tensile strength of the bolt material. = F SFO overall = Ө number (rtol=0.01, atol=1e-05) F ?arrow_forwardTwo metal bars are fastened together at the bolted flange connection shown. There are 2 total bolts connecting the two metal bars together and each bolt has diameter dbolt 12.7 mm. The flange is oriented at angle = 50° with respect to longitudinal axis of the metal bars. If an axial force F = 30 kN is applied as shown, determine the overall safety factor of the bolted connection. You may assume the bolts are made out of 1020HR steel and the strength of the bolt in shear is 50% of the tensile strength of the bolt material. F - SF overall = 0 number (rtol=0.01, at F ?arrow_forward
- Determine the diameter of a circular rod made of ductile material with a fatigue strength (complete stress reversal) σe = 280 MPa and a tensile yield strength of 350 MPa. The member is subjected to a varying axial load from 700 kN to – 300 kN. Assume Kt = 1.8 and F.S. = 2.arrow_forwardA-36 steel column has a length of 5 ft, is fixed at its bottom and pinned at its top. If the cross sectional area has the dimensions shown in Figure below, determine the critical load. Take E=29x10 3 ksi and oy-36 ksi 0.5 in. 0.5 in. 0.5 in. 1.5 in. 1.5 in. 1.5 in. 0.5 in.arrow_forwardA stepped circular bar having diameters of 20 mm, 15 mm, and 10 mm over axial lengths of 100 mm, 80 mm and 60 mm is subjected to an axial tensile force of 5 kN If E= 100 GPa and ν= 0.32 for the material of the bar determine: Total change in length. Change in each diameter.arrow_forward
- = A column is constructed from high strength concrete reinforced with 8 A992 steel rods. The column has diameter d₁ = 7.5 in. and the steel rods have diameter d2 0.75 in. If an axial load of P = 180 kip is applied, calculate the magnitude of the resulting average normal stress in the concrete and in the steel rods. Hint: The displacement of the concrete must be the same as that of the steel. d₁ d₂ ✓ 080 BY NO SA 2021 Cathy Zupke The magnitude of the average normal stress in the steel rods is a steel = The magnitude of the average normal stress in the concrete is o concrete = ksi. ksi.arrow_forward5. An A-36 (Fy= 250 MPa) steel column has a length of 5 m and is fixed at both ends. If the cross-sectional area has the dimensions shown, determine the critical load. 10 mm 1 - -10 mm 50 mm E100 mmHarrow_forwardAs shown below, the hydraulic cylinder at C is used to pull a bar from a pump, which is connected to a support ABC at A. The critical elements are the diameter dr of the bar and the diameter dp of the pin at B. For a factor of safety FS = 3.0, determine the required diameters if the maximum load on the bar suction for Pa = 15 kN. The failure voltages of the bar and pin are σe = 340 MPa and τe = 400 MPa, respectively.arrow_forward
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