
Mechanics of Materials
9th Edition
ISBN: 9780133254426
Author: Russell C. Hibbeler
Publisher: Prentice Hall
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 13.6, Problem 13.87P
To determine
The smallest diameter of the aluminum rod.
Expert Solution & Answer

Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Thermodynamics: Mass and Energy Analysis Of Control Volumes
A 50-L electrical radiator containing heating oil is placed in a 50-m3 room. Both the room and the oil in theradiator are initially at 5◦C. The radiator with a rating of 3 kW is now turned on. At the same time, heatis lost from the room at an average rate of 0.3 kJ/s. After some time, the average temperature is measuredto be 20◦C for the air in the room, and 60◦C for the oil in the radiator. Taking the density and the specificheat of the oil to be 950 kg/m3 and 2.2 kJ/(kg◦C), respectively, determine how long the heater is kept on.Assume the room is well-sealed so that there are no air leaks.
Problem 3
For the beam and loading shown, consider section n-n and determine (a) the largest
shearing stress in that section, (b) the shearing stress at point a.
1ft
15 kips 20 kips 15 kips
AITT
in
1
0.6 in.
-10 in.
1 in.
0.375 in.-
2 ft
2ft
2 ft 2ft
10 in.
1
0.6 in.
practice problems want detailed break down
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 - 13-1. Determine the critical buckling load for the...Ch. 13.3 - The column consists of a rigid member that is...Ch. 13.3 - The aircraft link is made from an A992 steel rod....Ch. 13.3 - Rigid bars AB and BC are pin connected at B. If...
Ch. 13.3 - 13-5. A rod made from polyurethane has a...Ch. 13.3 - 13–6. A rod made from polyurethane has a...Ch. 13.3 - Prob. 13.7PCh. 13.3 - Prob. 13.8PCh. 13.3 - Prob. 13.9PCh. 13.3 - Prob. 13.10PCh. 13.3 - The A992 steel angle has a cross-sectional area of...Ch. 13.3 - *13–12. The control linkage for a machine consists...Ch. 13.3 - 13–13. An A992 steel column has a length of 5 m...Ch. 13.3 - Prob. 13.14PCh. 13.3 - Prob. 13.15PCh. 13.3 - Prob. 13.16PCh. 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. 13.20PCh. 13.3 - 13-21. The A992 steel tube has the cross-sectional...Ch. 13.3 - Prob. 13.22PCh. 13.3 - 13-23. The linkage is made using two A992 steel...Ch. 13.3 - *13–24. An L-2 tool steel link in a forging...Ch. 13.3 - The W14 30 A992 steel column is assumed pinned at...Ch. 13.3 - The A992 steel bar AB has a square cross section....Ch. 13.3 - Prob. 13.27PCh. 13.3 - *13–28. The strongback is made of an A992 steel...Ch. 13.3 - Prob. 13.29PCh. 13.3 - Prob. 13.30PCh. 13.3 - The steel bar AB has a rectangular cross section....Ch. 13.3 - Prob. 13.32PCh. 13.3 - 13–33. Determine the greatest load P the frame...Ch. 13.3 - Prob. 13.34PCh. 13.3 - Prob. 13.35PCh. 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 - The truss is made from A992 steel bars, each of...Ch. 13.3 - The truss is made from A992 steel bars, each of...Ch. 13.3 - Prob. 13.40PCh. 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 wood column is fixed at its base and free at...Ch. 13.5 - Prob. 13.47PCh. 13.5 - Prob. 13.48PCh. 13.5 - Prob. 13.49PCh. 13.5 - Prob. 13.50PCh. 13.5 - Assume that the wood column is pin connected at...Ch. 13.5 - Prob. 13.52PCh. 13.5 - Prob. 13.53PCh. 13.5 - A W14 30 structural A-36 steel column is pin...Ch. 13.5 - The wood column is pinned at its base and top. If...Ch. 13.5 - Prob. 13.56PCh. 13.5 - The 6061-T6 aluminum alloy solid shaft is fixed at...Ch. 13.5 - The 6061-T6 aluminum alloy solid shaft is fixed at...Ch. 13.5 - Prob. 13.59PCh. 13.5 - The wood column is pinned at its base and top. If...Ch. 13.5 - Prob. 13.61PCh. 13.5 - Prob. 13.62PCh. 13.5 - Prob. 13.63PCh. 13.5 - Prob. 13.64PCh. 13.5 - Prob. 13.65PCh. 13.5 - Prob. 13.66PCh. 13.5 - Prob. 13.67PCh. 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 - Prob. 13.70PCh. 13.5 - Prob. 13.71PCh. 13.5 - The aluminum rod is fixed at its base and free and...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. 13.5 - Prob. 13.77PCh. 13.6 - Determine the largest length of a W10 12...Ch. 13.6 - Using the AISC equations, select from AppendixB...Ch. 13.6 - Take Y = 50 ksi.Ch. 13.6 - Determine the longest length of a W8 31...Ch. 13.6 - Using the AISC equations, select from AppendixB...Ch. 13.6 - Prob. 13.83PCh. 13.6 - Using the AISC equations, select from AppendixB...Ch. 13.6 - Prob. 13.85PCh. 13.6 - Prob. 13.86PCh. 13.6 - Prob. 13.87PCh. 13.6 - Prob. 13.88PCh. 13.6 - Using the AISC equations, check if a column having...Ch. 13.6 - Prob. 13.90PCh. 13.6 - Prob. 13.91PCh. 13.6 - Prob. 13.92PCh. 13.6 - Prob. 13.93PCh. 13.6 - Prob. 13.94PCh. 13.6 - Prob. 13.95PCh. 13.6 - Prob. 13.96PCh. 13.6 - Prob. 13.97PCh. 13.6 - Prob. 13.98PCh. 13.6 - The tube is 0.25 in. thick, is made of 2014-T6...Ch. 13.6 - Prob. 13.100PCh. 13.6 - A rectangular wooden column has the cross section...Ch. 13.6 - Prob. 13.102PCh. 13.6 - Prob. 13.103PCh. 13.6 - The bar is made of aluminum alloy 2014-T6....Ch. 13.6 - Prob. 13.105PCh. 13.6 - Prob. 13.106PCh. 13.7 - Prob. 13.107PCh. 13.7 - Prob. 13.108PCh. 13.7 - Prob. 13.109PCh. 13.7 - Prob. 13.110PCh. 13.7 - The W8 15 wide-flange A992 steel column is fixed...Ch. 13.7 - The W8 15 wide-flange A992 steel column is fixed...Ch. 13.7 - Prob. 13.113PCh. 13.7 - Prob. 13.114PCh. 13.7 - Prob. 13.115PCh. 13.7 - Prob. 13.116PCh. 13.7 - Prob. 13.117PCh. 13.7 - Prob. 13.118PCh. 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. 13.7 - Prob. 13.121PCh. 13.7 - Prob. 13.122PCh. 13.7 - Prob. 13.123PCh. 13.7 - Prob. 13.124PCh. 13.7 - The 10-in.-diameter utility pole supports the...Ch. 13.7 - Using the NFPA equations of Sec 13.6. and Eq....Ch. 13.7 - Prob. 13.127PCh. 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...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- 6.105. Determine force P on the cable if the spring is compressed 0.025 m when the mechanism is in the position shown. The spring has a stiffness of k = 6 kN/m. E P 150 mm D T 30° 200 mm 200 mm 200 mm B 800 mmarrow_forward6.71. Determine the reactions at the supports A, C, and E of the compound beam. 3 kN/m 12 kN A B CD E -3 m 4 m 6 m 3 m 2 marrow_forwardA countershaft carrying two V-belt pullets is shown in the figure. Pulley A receives power from a motor through a belt with the belt tensions shown. The power is transmitted through the shaft and delivered to the belt on pulley B. Assume the belt tension on the loose side (T1) at B is 30% of the tension on the tight side (T2). (a) Determine the tension (i.e., T₂ and T₁) in the belt on pulley B, assuming the shaft is running at a constant speed. (b) Find the magnitudes of the bearing reaction forces, assuming the bearings act as simple supports. (c) Draw shear-force and bending moment diagrams for the shaft (in XZ and XY plane if needed). (d) Calculate the maximum moments at points A and B respectively and find the point of maximum bending moment (A or B). (e) Find maximum stresses (tensile, compressive, and shear stresses) at the identified point of maximum moment (hint: principal and max shear stresses) 8 dia. 9 400lbf 50lbf 45° 1.5 dia. T₂ B Units in inches T₁ 10 dia.arrow_forward
- The cantilevered bar in the figure is made from a ductile material and is statically loaded with F,, = 200 lbf and Fx = F₂ = 0. Analyze the stress situation in rod AB by obtaining the following information. Note that the stress concentration factors are neglected in the following questions (Kt and Kts=1). (a) Determine the precise location of the critical stress element. (b) Sketch the critical stress element and determine magnitudes and direction for all stresses acting on it. (Transverse shear may only be neglected if you can justify this decision.) (c) For the critical stress element, determine the principal stresses and maximum shear stress. 6 in 1-in dia. B +1- in in 2 in 5 inarrow_forwardA laminated thick-walled hydraulic cylinder was fabricated by shrink-fitting jacket having an outside diameter of 300mm onto a SS 304 steel tube having an inside diameter of 100mm and an outside diameter of 200mm as shown in the figure. The interference (8) was 0.15mm. When the Young's modulus for both SS304 and 1020 steel is the same as 200GPa, and the Poisson's ratio is also the same as 0.3 for both materials, find the followings. Initially 100 mm Initially 200 mm Initially 300 mm SS 304 1020 steel (a) P; (interfacial contact stress) (b) The maximum stresses (σ, and σ+) in the laminated steel cylinder resulting from the shrink fit.arrow_forwardAuto Controls Design a proportional derivitivecontroller for a plant orsystemthat satisfies the following specifications : 1. is steady-state error is less than 2 % for a ramp input. 2.) Damping ratio (zeta) is greater than 0.7have determined the 3. Once youvalue of kp and kd, then plotthe response of the compensated(with controller) and uncompensated( without the controller, only the plantsystem using MATLAB.arrow_forward
- Auto Controls (a) Refer to the above figure .What kind of controller is it ? (b) simplify the block diagramto derive the closed loop transfer function of the system. (C) What are the assumptions thatare needed to make to findthe controller gain ? What arethe value of Kp , Ti and Td ?arrow_forwardAuto Controls Design a PID controller for thefollowing system so that the modified system satisfies the followingspecifications : 1. settling time ,ts = 1.96 s and % Overshoot Mp = 70.7 % Assume a non-dominant pole at s = -15 to solve the problem The plot the compensated andThen plot the uncompensated system in MATLAB. what can you see from the plot ? what is your observation ?arrow_forwardFourth year Monthly exam\3 2024-2025 Power plant Time: 1 Hr Q1. A gas turbine power plant operates on a modified Brayton cycle consisting of two-stage compression with intercooling to the initial temperature between stages, two-stage expansion with reheating to the maximum cycle temperature, and two regenerative heat exchangers. The following data is given: Inlet air temperature: 300 K Maximum cycle temperature: 1400 K Pressure ratio across each compressor stage: 4 Pressure ratio across each turbine stage: 4 Isentropic efficiency of compressors and turbines: 85% Effectiveness of each regenerator: 80% a) Draw a schematic and T-s diagram of the cycle. b) Determine the thermal efficiency of the cycle. c) Calculate the net specific work output (in kJ/kg). d) Discuss the impact of regenerators on the cycle performance. Examiner Prof. Dr. Adil Al-Kumaitarrow_forward
- Auto Controls The figure is a schematic diagram of an aircraft elevator control system. The input to the systemin the deflection angle of the control lever , and the output is the elevator angle phi.show that for each angle theta of the control lever ,there is a corresponding elevator angle phi. Then find Y(s)/theta(s) and simplify the resulting transfer function . Also note from the diagram that y and phi is relatedarrow_forwardLiquid hexane flows through a counter flow heat exchanger at 5 m3/h as shown in Figure E5.5.The hexane enters the heat exchanger at 90°C. Water, flowing at 5 m3/h, is used to cool the hexane.The water enters the heat exchanger at 15°C. The UA product of the heat exchanger is found to be2.7 kW/K. Determine the outlet temperatures of the hot and cold fluids and the heat transfer ratebetween them using LMTD method.arrow_forwardDetermine the fluid outlet temperatures and the heat transfer rate for the counter flow heatexchanger described in Problem 3 using the ε-NTU model. Assume that the properties can beevaluated at the given fluid inlet temperatures.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning

Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
EVERYTHING on Axial Loading Normal Stress in 10 MINUTES - Mechanics of Materials; Author: Less Boring Lectures;https://www.youtube.com/watch?v=jQ-fNqZWrNg;License: Standard YouTube License, CC-BY