Mechanics of Materials (10th Edition)
10th Edition
ISBN: 9780134319650
Author: Russell C. Hibbeler
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 12.5, Problem 12.93P
The rod is pinned at its end A and attached to a torsional spring having a stiffness k, which measures the torque per radian of rotation of the spring. If a force P is always applied perpendicular to the end of the rod, determine the displacement of the force. EI is constant.
Prob. 12–93
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
y(0)=1,
Using Laplace transforms solve the following differential
equations :
11) y"-4y+4y=0,
12) y+2y+2y=0,
y(0)=2.1,
y'(0) = 3.9
y'(0)=-3.
13) y+7y+12y=21e",
y(0)=3.5,
y'(0)=-10.
14) +9y=10e.
y(0)=0,
y'(0) = 0.
15) y+3y+2.25y=91³ +64,
y(0)=1,
y'(0) = 31.5
16) -6y+5y= 29 cos(21),
y(0)=3.2,
y'(0)=6.2
17) "+2y+2y=0,
y(0)=0,
y'(0)=1.
18) +2y+17y=0,
y(0)=0,
y'(0)=12.
19) y-4y+5y=0,
y(0)=1,
y'(0) = 2.
20) 9y-6y+y=0,
y(0)=3,
y'(0)=1.
21) -2y+10y=0,
y(0)=3,
y'(0)=3.
4. Consider the rectangulan
2535
Let
16
a
and
section discussed
977b
+
class.
in
ie make a
M
thin"
rectangle, Can you
you show that
Q = Go {a² = x² } .
Imax =
2 Ga
ты
J =
1. Consider a
circular shaft in torsion
that
of radius r=b
has a key way
as shown,
circle of
radius a
Let us try the solution
x₁
(5,0) = k (6² = r²) (1- 2 awso
1.1 Does this solve the problem for the
stres rer
1,2 Solve for
is and 23.
Chapter 12 Solutions
Mechanics of Materials (10th Edition)
Ch. 12.2 - In each case, determine the internal bending...Ch. 12.2 - Determine the slope and deflection of end A of the...Ch. 12.2 - Determine the slope and deflection of end A of the...Ch. 12.2 - Determine the slope of end A of the cantilevered...Ch. 12.2 - Determine the maximum deflection of the simply...Ch. 12.2 - Determine the maximum deflection of the simply...Ch. 12.2 - Determine the slope of the simply supported beam...Ch. 12.2 - An L2 steel strap having a thickness of 0.125 in....Ch. 12.2 - The L2 steel blade of the band saw wraps around...Ch. 12.2 - A picture is taken of a man performing a pole...
Ch. 12.2 - El is constant. Prob. 124Ch. 12.2 - Determine the deflection of end C of the...Ch. 12.2 - Determine the elastic curve for the cantilevered...Ch. 12.2 - The A-36 steel beam has a depth of 10 in. and is...Ch. 12.2 - Determine the equations of the elastic curve using...Ch. 12.2 - Determine the equations of the elastic curve for...Ch. 12.2 - Determine the equations of the elastic curve using...Ch. 12.2 - Determine the equations of the elastic curve using...Ch. 12.2 - Draw the bending-moment diagram for the shaft and...Ch. 12.2 - Determine the maximum deflection of the beam and...Ch. 12.2 - The simply supported shaft has a moment of inertia...Ch. 12.2 - A torque wrench is used to tighten the nut on a...Ch. 12.2 - The pipe can be assumed roller supported at its...Ch. 12.2 - Determine the equations of the elastic curve for...Ch. 12.2 - The bar is supported by a roller constraint at B,...Ch. 12.2 - Determine the deflection at B of the bar in Prob....Ch. 12.2 - Determine the equations of the elastic curve using...Ch. 12.2 - Determine the maximum deflection of the solid...Ch. 12.2 - Determine the elastic curve for the cantilevered...Ch. 12.2 - Determine the equations of the elastic curve using...Ch. 12.2 - Determine the equations of the elastic curve using...Ch. 12.2 - The floor beam of the airplane is subjected to the...Ch. 12.2 - Determine the maximum deflection of the simply...Ch. 12.2 - The beam is made of a material having a specific...Ch. 12.2 - Determine the slope at end B and the maximum...Ch. 12.2 - Determine the equation of the elastic curve using...Ch. 12.2 - Determine the equations of the elastic curve using...Ch. 12.3 - The shaft is supported at A by a journal bearing...Ch. 12.3 - The shaft supports the two pulley loads shown....Ch. 12.3 - The beam is made of a ceramic material. If it is...Ch. 12.3 - Determine the equation of the elastic curve, the...Ch. 12.3 - The beam is subjected to the load shown. Determine...Ch. 12.3 - Determine the equation of the elastic curve, the...Ch. 12.3 - Determine the equation of the elastic curve and...Ch. 12.3 - The shaft supports the two pulley loads. Determine...Ch. 12.3 - Determine the maximum deflection of the...Ch. 12.3 - Determine the slope at A and the deflection of end...Ch. 12.3 - Determine the maximum deflection in region AB of...Ch. 12.3 - Prob. 12.42PCh. 12.3 - Prob. 12.43PCh. 12.3 - Prob. 12.44PCh. 12.3 - Prob. 12.45PCh. 12.3 - Prob. 12.46PCh. 12.3 - Prob. 12.47PCh. 12.3 - Determine the value of a so that the displacement...Ch. 12.3 - Determine the displacement at C and the slope at...Ch. 12.3 - Determine the equations of the slope and elastic...Ch. 12.4 - Determine the slope and deflection of end A of the...Ch. 12.4 - Determine the slope and deflection of end A of the...Ch. 12.4 - Determine the slope and deflection of end A of the...Ch. 12.4 - Determine the slope and deflection at A of the...Ch. 12.4 - Prob. 12.11FPCh. 12.4 - Determine the maximum deflection of the simply...Ch. 12.4 - Determine the slope and deflection at C. El is...Ch. 12.4 - Determine the slope and deflection at C. El is...Ch. 12.4 - Determine the deflection of end B of the...Ch. 12.4 - Prob. 12.54PCh. 12.4 - The composite simply supported steel shaft is...Ch. 12.4 - Prob. 12.56PCh. 12.4 - Prob. 12.57PCh. 12.4 - Determine the deflection at C and the slope of the...Ch. 12.4 - Determine the maximum deflection of the...Ch. 12.4 - Prob. 12.60PCh. 12.4 - Determine the position a of the roller support B...Ch. 12.4 - Prob. 12.62PCh. 12.4 - Determine the slope and the deflection of end B of...Ch. 12.4 - The two A-36 steel bars have a thickness of 1 in....Ch. 12.4 - Determine the slope at A and the displacement at...Ch. 12.4 - Determine the deflection at C and the slopes at...Ch. 12.4 - Determine the maximum deflection within region AB....Ch. 12.4 - Determine the slope at A and the maximum...Ch. 12.4 - Determine the slope at C and the deflection at B....Ch. 12.4 - Determine the slope at A and the maximum...Ch. 12.4 - Determine the displacement of the 20-mm-diameter...Ch. 12.4 - The two force components act on the tire of the...Ch. 12.4 - Prob. 12.73PCh. 12.4 - The rod is constructed from two shafts for which...Ch. 12.4 - Prob. 12.75PCh. 12.4 - Determine the slope at point A and the maximum...Ch. 12.4 - Determine the position a of roller support B in...Ch. 12.4 - Determine the slope at B and deflection at C. El...Ch. 12.4 - Prob. 12.79PCh. 12.4 - Prob. 12.80PCh. 12.4 - Prob. 12.81PCh. 12.4 - Determine the maximum deflection of the beam. El...Ch. 12.5 - The W10 15 cantilevered beam is made of A-36...Ch. 12.5 - The W10 15 cantilevered beam is made of A-36...Ch. 12.5 - The W14 43 simply supported beam is made of A992...Ch. 12.5 - The W14 43 simply supported beam is made of A992...Ch. 12.5 - The W14 43 simply supported beam is made of A-36...Ch. 12.5 - The W14 43 simply supported beam is made of A-36...Ch. 12.5 - The W8 48 cantilevered beam is made of A-36 steel...Ch. 12.5 - The beam supports the loading shown. Code...Ch. 12.5 - The W24 104 A-36 steel beam is used to support...Ch. 12.5 - The W8 48 cantilevered beam is made of A-36 steel...Ch. 12.5 - The rod is pinned at its end A and attached to a...Ch. 12.5 - Prob. 12.94PCh. 12.5 - The pipe assembly consists of three equal-sized...Ch. 12.5 - The assembly consists of a cantilevered beam CS...Ch. 12.5 - Determine the smallest force F required to attract...Ch. 12.5 - Prob. 12.98PCh. 12.7 - Determine the reactions at the supports A and B,...Ch. 12.7 - Determine the reactions at the supports, then draw...Ch. 12.7 - Determine the reactions at the supports A, B, and...Ch. 12.7 - Determine the reactions at the supports A and B,...Ch. 12.7 - Determine the reactions at the supports A and B,...Ch. 12.7 - Determine the moment reactions at the supports A...Ch. 12.7 - Determine the reactions at the supports A and B,...Ch. 12.7 - Determine the reactions at the support A and B. EI...Ch. 12.7 - Determine the reactions at roller support A and...Ch. 12.7 - Determine the moment reactions at the supports A...Ch. 12.7 - The beam has a constant E1I1 and is supported by...Ch. 12.7 - The beam is supported by a pin at A, a roller at...Ch. 12.8 - Determine the moment reactions at the supports A...Ch. 12.8 - Determine the reaction at the supports, then draw...Ch. 12.8 - Determine the vertical reaction at the journal...Ch. 12.8 - Determine the reactions at the supports A and B,...Ch. 12.8 - Determine the reactions at the supports. EI is...Ch. 12.8 - Determine the vertical reaction at the journal...Ch. 12.9 - Determine the reactions at the fixed support A and...Ch. 12.9 - Determine the reactions at the fixed support A and...Ch. 12.9 - Determine the reactions at the fixed support A and...Ch. 12.9 - Determine the reaction at the roller B. EI is...Ch. 12.9 - Determine the reaction at the roller B. EI is...Ch. 12.9 - Determine the reaction at the roller support B if...Ch. 12.9 - Determine the reactions at the journal bearing...Ch. 12.9 - Determine the reactions at the supports, then draw...Ch. 12.9 - Determine the reactions at the supports, then draw...Ch. 12.9 - Determine the reactions at the supports A and B....Ch. 12.9 - The beam is used to support the 20-kip load....Ch. 12.9 - Determine the reactions at the supports A and B....Ch. 12.9 - Determine the reactions at the supports A and B....Ch. 12.9 - Before the uniform distributed load is applied to...Ch. 12.9 - The fixed supported beam AB is strengthened using...Ch. 12.9 - The beam has a constant E1I1, and is supported by...Ch. 12.9 - The beam is supported by the bolted supports at...Ch. 12.9 - Each of the two members is made from 6061-T6...Ch. 12.9 - The beam is made from a soft linear elastic...Ch. 12.9 - The beam AB has a moment of inertia I = 475 in4...Ch. 12.9 - The rim on the flywheel has a thickness t, width...Ch. 12.9 - Determine the moment developed in each corner....Ch. 12 - Determine the equation of the elastic curve. Use...Ch. 12 - Draw the bending-moment diagram for the shaft and...Ch. 12 - Determine the moment reactions at the supports A...Ch. 12 - Specify the slope at A and the maximum deflection....Ch. 12 - Determine the maximum deflection between the...Ch. 12 - Determine the slope at B and the deflection at C....Ch. 12 - Determine the reactions, then draw the shear and...Ch. 12 - El is constant.Ch. 12 - Using the method of superposition, determine the...
Additional Engineering Textbook Solutions
Find more solutions based on key concepts
A nozzle at A discharges water with an initial velocity of 36 ft/s at an angle with the horizontal. Determine ...
Vector Mechanics For Engineers
Why is the study of database technology important?
Database Concepts (8th Edition)
Assume a telephone signal travels through a cable at two-thirds the speed of light. How long does it take the s...
Electric Circuits. (11th Edition)
The job of the _____ is to fetch instructions, carry out the operations commanded by the instructions, and prod...
Starting Out With Visual Basic (8th Edition)
17–1C A high-speed aircraft is cruising in still air. How does the temperature of air at the nose of the aircra...
Thermodynamics: An Engineering Approach
How are relationships between tables expressed in a relational database?
Modern Database Management
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
- 3. - a For an elliptical cross that the tangent to section resultant shear can you s stress is show ellipse with the same 24 i ratio of eccentricity, in passes through to point alb that in question, it + Parrow_forward2. Consider the rod with an elliptical that strain 4 a Cross secton considered in class, Integrate the was displacement displacements, relations to obtain thearrow_forwardPlease answer Oxygen at 300 kPa and 90°C flowing at an average velocity of 3 m/s is expanded in an adiabatic nozzle. What is the maximum velocity of the oxygen at the outlet of this nozzle when the outlet pressure is 60 kPa? Use the table containing the ideal gas specific heats of various common gases. The maximum velocity of the oxygen at the outlet of this nozzle is 532.5 Numeric ResponseEdit Unavailable. 532.5 incorrect.m/s.arrow_forward
- A container filled with 70 kg of liquid water at 95°C is placed in a 90-m3 room that is initially at 12°C. Thermal equilibrium is established after a while as a result of heat transfer between the water and the air in the room. Assume the room is at the sea level, well sealed, and heavily insulated. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Determine the amount of heat transfer between the water and the air in the room. The amount of heat transfer between the water and the air in the room is kJ.arrow_forwardA strain gauge rosette that is attached to the surface of a stressed component gives 3 readings (ɛa = A, b = B, &c = C). If the strain gauge rosette is of the D° type (indicating the angle between each of the gauges), construct a Mohr's Strain Circle overleaf. You should assume that gauge A is aligned along the x-axis. Using the Mohr's Strain Circle calculate the: (i) principal strains (ε1, 2)? (ii) principal angles (1, 2)? You should measure these anticlockwise from the y-axis. (iii) maximum shear strain in the plane (ymax)?arrow_forwardQ1. If the yield stress (σy) of a material is 375MPa, determine whether yield is predicted for the stresses acting on both the elements shown below using: (a) Tresca Criterion (b) Von Mises Criterion P Element A R S Element B Note: your values for P (vertical load on Element A) should be negative (i.e. corresponding to a compressive vertical load).arrow_forward
- Q. After a puncture a driver is attempting to remove a wheel nut by applying a force of P KN to one end of a wheel brace as shown in Fig. 1. In cross-section the brace is a hollow steel tube (see section aa) of internal diameter r mm and external diameter q mm. wheel nut n Position S P m r q Section aa Fig, 1 (a) Calculate (i) the twisting moment, (ii) the bending moment, and (iii) the shear force in the brace at position S due to the applied load P. (b) Calculate (i) the shear stress due to twisting, and (ii) the bending stress at position S. Note that the shear force will not produce any shear stress at S. (c) Calculate the maximum shearing stress in the brace at position S using the Maximum Shear Stress Criterion. 2 Mechanics of Materials 2 Tutorials Portfolio: Exercise 5 (d) If the maximum permissible shear stress in the steel is 200 MPa, determine the maximum torque that can be applied by the brace without the risk of failure at S.arrow_forwardCalculate the first 5 Fourier series coefficients (A0-4 and B1-5 ) for the estimated R wave.arrow_forwardRefrigerant-134a is expanded isentropically from 600 kPa and 70°C at the inlet of a steady-flow turbine to 100 kPa at the outlet. The outlet area is 1 m2, and the inlet area is 0.5 m2. Calculate the inlet and outlet velocities when the mass flow rate is 0.65 kg/s. Use the tables for R-134a. The inlet velocity is m/s. The outlet velocity is m/s.arrow_forward
- A container filled with 70 kg of liquid water at 95°C is placed in a 90-m3 room that is initially at 12°C. Thermal equilibrium is established after a while as a result of heat transfer between the water and the air in the room. Assume the room is at the sea level, well sealed, and heavily insulated. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Determine the final equilibrium temperature. Use the table containing the ideal gas specific heats of various common gases. The final equilibrium temperature is °C.arrow_forwardSteam at 100 psia and 650°F is expanded adiabatically in a closed system to 10 psia. Determine the work produced, in Btu/lbm, and the final temperature of steam for an isentropic expansion efficiency of 80 percent. Use steam tables. The work produced is Btu/lbm. The final temperature of steam is °F.arrow_forwardComplet the solution : Vavg Ti Te Ts Q hexp Nuexp htheo Re Nutheo Error (m/s) (*C) (*C) (*C) (W) 2.11 18.8 21.3 45.8 2.61 18.5 20.8 46.3arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
International Edition---engineering Mechanics: St...Mechanical EngineeringISBN:9781305501607Author:Andrew Pytel And Jaan KiusalaasPublisher:CENGAGE L
International Edition---engineering Mechanics: St...
Mechanical Engineering
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:CENGAGE L
Everything About COMBINED LOADING in 10 Minutes! Mechanics of Materials; Author: Less Boring Lectures;https://www.youtube.com/watch?v=N-PlI900hSg;License: Standard youtube license