Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)
10th Edition
ISBN: 9780073398204
Author: Richard G Budynas, Keith J Nisbett
Publisher: McGraw-Hill Education
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 4, Problem 44P
A flat-bed trailer is to be designed with a curvature such that when loaded to capacity the trailer bed is flat. The load capacity is to be 3000 lbf/ft between the axles, which are 25 ft apart, and the second-area moment of the steel structure of the bed is I = 485 in4. Determine the equation for the curvature of the unloaded bed and the maximum height of the bed relative to the axles.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
A cable with supports at the same elevation has a
span of 400 m. The cable supports a uniformly distributed
load of 6 kN/m along the horizontal. The maximum ten-
sion in the cable is 5000 kN. Determine
The angle between the cable and the horizontal at a
support.
An aluminum pole for a street light weighs4600 N and supports an arm that weighs 660 N (seefigure). The center of gravity of the arm is 1.2 m from theaxis of the pole. A wind force of 300 N also acts in the (-y)direction at 9 m above the base. The outside diameter ofthe pole (at its base) is 225 mm, and its thickness is 18 mm.
Determine the maximum tensile and compressivestresses σt and σc, respectively, in the pole (at its base)due to the weights and the wind force.
4 m
B
4m 8
0.4 m
AB X-Section
0.2 mIO
(a) Determine to that results in the gap (8) being closed.
(b) If w=628 kN/m, determine the internal force in member BC?
BC X-Section
For the bar shown above, a uniformly distributed axial load wo (force per unit length)
is applied between A and B. The diameter of the cross sections AB and BC are also
indicated. The material properties of the bar are: E= 20 GPa and 0.3. If the gap
61 mm, then answer the following questions (you can take a 3.14):
Chapter 4 Solutions
Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)
Ch. 4 - The figure shows a torsion bar OA fixed at O,...Ch. 4 - For Prob. 41, if the simple support at point A...Ch. 4 - A torsion-bar spring consists of a prismatic bar,...Ch. 4 - An engineer is forced by geometric considerations...Ch. 4 - A bar in tension has a circular cross section and...Ch. 4 - Prob. 6PCh. 4 - Prob. 7PCh. 4 - Derive the equations given for beam 2 in Table A9...Ch. 4 - Derive the equations given for beam 5 in Table A9...Ch. 4 - The figure shows a cantilever consisting of steel...
Ch. 4 - A simply supported beam loaded by two forces is...Ch. 4 - Using superposition, find the deflection of the...Ch. 4 - A rectangular steel bar supports the two...Ch. 4 - An aluminum tube with outside diameter of 2 in and...Ch. 4 - The cantilever shown in the figure consists of two...Ch. 4 - Using superposition for the bar shown, determine...Ch. 4 - A simply supported beam has a concentrated moment...Ch. 4 - Prob. 18PCh. 4 - Using the results of Prob. 418, use superposition...Ch. 4 - Prob. 20PCh. 4 - Consider the uniformly loaded simply supported...Ch. 4 - Prob. 22PCh. 4 - Prob. 23PCh. 4 - Prob. 24PCh. 4 - Prob. 25PCh. 4 - Prob. 26PCh. 4 - Prob. 27PCh. 4 - Prob. 28PCh. 4 - 429 to 434 For the steel countershaft specified in...Ch. 4 - Prob. 30PCh. 4 - Prob. 31PCh. 4 - Prob. 32PCh. 4 - For the steel countershaft specified in the table,...Ch. 4 - For the steel countershaft specified in the table,...Ch. 4 - Prob. 35PCh. 4 - Prob. 36PCh. 4 - Prob. 37PCh. 4 - Prob. 38PCh. 4 - Prob. 39PCh. 4 - Prob. 40PCh. 4 - The cantilevered handle in the figure is made from...Ch. 4 - Prob. 42PCh. 4 - The cantilevered handle in Prob. 384, p. 154, is...Ch. 4 - A flat-bed trailer is to be designed with a...Ch. 4 - The designer of a shaft usually has a slope...Ch. 4 - Prob. 46PCh. 4 - If the diameter of the steel beam shown is 1.25...Ch. 4 - For the beam of Prob. 4-47, plot the magnitude of...Ch. 4 - Prob. 49PCh. 4 - 4-50 and 4-51 The figure shows a rectangular...Ch. 4 - and 451 the ground at one end and supported by a...Ch. 4 - The figure illustrates a stepped torsion-bar...Ch. 4 - Consider the simply supported beam 5 with a center...Ch. 4 - Prob. 54PCh. 4 - Prob. 55PCh. 4 - Solve Prob. 410 using singularity functions. Use...Ch. 4 - Prob. 57PCh. 4 - Prob. 58PCh. 4 - Prob. 59PCh. 4 - Solve Prob. 413 using singularity functions. Since...Ch. 4 - Prob. 61PCh. 4 - Solve Prob. 419 using singularity functions to...Ch. 4 - Using singularity functions, write the deflection...Ch. 4 - Determine the deflection equation for the...Ch. 4 - Use Castiglianos theorem to verify the maximum...Ch. 4 - Use Castiglianos theorem to verify the maximum...Ch. 4 - Solve Prob. 415 using Castiglianos theorem.Ch. 4 - Solve Prob. 452 using Castiglianos theoremCh. 4 - Determine the deflection at midspan for the beam...Ch. 4 - Using Castiglianos theorem, determine the...Ch. 4 - Solve Prob. 441 using Castiglianos theorem. Since...Ch. 4 - Solve Prob. 442 using Castiglianos theorem.Ch. 4 - The cantilevered handle in Prob. 384 is made from...Ch. 4 - Solve Prob. 450 using Castiglianos theorem.Ch. 4 - Solve Prob. 451 using Castiglianos theorem.Ch. 4 - The steel curved bar shown has a rectangular cross...Ch. 4 - Repeat Prob. 476 to find the vertical deflection...Ch. 4 - For the curved steel beam shown. F = 6.7 kips....Ch. 4 - A steel piston ring has a mean diameter of 70 mm....Ch. 4 - For the steel wire form shown, use Castiglianos...Ch. 4 - 4-81 and 4-82 The part shown is formed from a...Ch. 4 - 4-81 and 4-82 The part shown is formed from a...Ch. 4 - Repeat Prob. 481 for the vertical deflection at...Ch. 4 - Repeat Prob. 482 for the vertical deflection at...Ch. 4 - A hook is formed from a 2-mm-diameter steel wire...Ch. 4 - The figure shows a rectangular member OB, made...Ch. 4 - Prob. 87PCh. 4 - For the wire form shown, determine the deflection...Ch. 4 - Prob. 89PCh. 4 - Prob. 90PCh. 4 - Prob. 91PCh. 4 - Prob. 92PCh. 4 - Solve Prob. 492 using Castiglianos method and...Ch. 4 - An aluminum step bar is loaded as shown. (a)...Ch. 4 - The steel shaft shown in the figure is subjected...Ch. 4 - Repeat Prob. 495 with the diameters of section OA...Ch. 4 - The figure shows a 12- by 1-in rectangular steel...Ch. 4 - For the beam shown, determine the support...Ch. 4 - Solve Prob. 498 using Castiglianos theorem and...Ch. 4 - Consider beam 13 in Table A9, but with flexible...Ch. 4 - Prob. 101PCh. 4 - The steel beam ABCD shown is simply supported at C...Ch. 4 - Prob. 103PCh. 4 - A round tubular column has outside and inside...Ch. 4 - For the conditions of Prob. 4104, show that...Ch. 4 - Link 2, shown in the figure, is 25 mm wide, has...Ch. 4 - Link 3, shown schematically in the figure, acts as...Ch. 4 - The hydraulic cylinder shown in the figure has a...Ch. 4 - The figure shows a schematic drawing of a...Ch. 4 - If drawn, a figure for this problem would resemble...Ch. 4 - Design link CD of the hand-operated toggle press...Ch. 4 - Find the maximum values of the spring force and...Ch. 4 - As shown in the figure, the weight W1 strikes W2...Ch. 4 - Part a of the figure shows a weight W mounted...
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
- Use the method of SECTIONS to find the true magnitude and direction in bar HG of the truss shown below in Fig 3.5 -500lb -100lb A 45° -200lb H -100lb 2 B -200lb -200lb MAGNITUDE AND DIRECTION OF SUPPORTS -500lb H -100lb 45° 2¹ C2D 2¹ Fig 3.5. -200lb -100lb LI 2 B 2₁ 2₁ D 2₁ Earrow_forwardThe rod BD is made of material with G1= 33 GPa has a diameter 46 mm is bonded to the tube CA at point B, the tube made of material with G2=56 GPa has an outer diameter 97 mm and wall thickness of 8 mm. If T1=1268 N.m and T2=2282 N.m, answer the following questions: The polar moment of inertia of the rod BD is The polar moment of inertia of the tube CA is The maximum shear stress of the rod BD is The maximum shear stress of the tube CA is The maximum shear stress of the assembly is The angle of twist between D and B is The angle of twist between C and A is The angle of twist at D is The angle of twist between C and B is The reaction at point A isarrow_forwardThe uniform 44 kN bar BC is supported by a pin at C and the aluminum wire AB. The cross-sectional area of the wire is 178.5 mm2. Assuming bar BC to be rigid, find the vertical displacement of B due to the weight of the bar. Use E = 71 GPa for aluminum. Anwer must be in mm.arrow_forward
- The structure in the sketch below consists of the two members ABC and CDE which are pin- connected at point C. The complete structure is supported by a weightless link at B and a fixed support at E. The link is perpendicular to part BCDE and pin-connected to the support at the bottom. The distributed loading acts perpendicular to the inclined part AB. The figure is not to scale. 600 N/ m A 900N 0.5m E C -1.3т- * 1m - 1m 1.2m Calculate the support reactions that develop on the frame at points B and E. Interpret your final answers on a separate complete free-body diagram of the structure ABCDE. B,arrow_forwardAs shown, an L-shaped bar is supported by a pin at joint A. The bar's dimensions are aaa = 620 mmmm and bbb = 400 mmmm , and the bar is subjected to a force with magnitude FFF = 5.05 kNkN at joint B. Ignoring the bar's weight, find the actual orientation of the applied force. What is the value of the angle θθtheta?arrow_forwardThe triangular block below is subjected to the Loads P=1200 lb and 400 lb. If AB=8 in, and BC is 6in., resolve each load into components normal and tangential to AC.arrow_forward
- The length of the smooth circular shaft with a solid cross-sectional area of 315nm2 is 1 meter. Instead of this shaft, it is desired to use an evacuated circular-section shaft with a wall thickness of 3 mm with the same length and weight. For these two cases, compare the angles of rotation that would occur if a moment M = 600 (N.m) was applied to the end of the shaft made of material G-80 GPa.arrow_forwardA flat steel plate is of trapezoidal form and uniform thickness of 10mm. The plate tapers uniformly from a width of 150mm to 100 mm over a length of 500mm. Determine the elongation of the plate under an axial pull of 100 KN. Take E= 200 KN/mm² B₁ 100 KN I -x-8x 100 mm 500 mm- 150 mm B₂ 100KNarrow_forwardThe system shown is subjected to three axial forces P₁ = 250 kN, P₂ = 400 KN and P3 = 275 kN. What is the total change in length due to the loading? (E = 70 GPa). Answers: (a) 0.062 mm. (b) 0.045 mm. (c) 0.073 mm. (d) 0.014 mm. 1 m P1 T 0.6 m A P2 B 1.2 m P3 C D Rigid plate Rigid plate Rigid plate 0.25 m² 2 0.35 m² 0.5 m²arrow_forward
- The object (W = 1000 lb) is moving between positions G and H back and forth repeatedly. The bar AD is made of steel with assumed property Sy = 80 ksi, Sn= 20 ksi. Determine the required diameter of the bar based on Soderberg criterion and N = 2. 3 ft l' -2 ft 3 ft- DGB 4 ft W 444 Harrow_forward3. The rigid bar AB is supported by two rods made of the same material. If the bar is horizontal before the load P is applied, find the distance x that locates the position where P must act if the bar is to remain horizontal. Neglect the weight of bar AB. L = 3 ft A = 0.2 in.2 L = 2 ft A = 0.4 in.2 х X B 10 ftarrow_forwardThe cantilevered rack is used to support each end of a smooth pipe that has a total weight of 460 lblb as shown in (Figure 1). Determine the magnitude of the normal force that acts in the arm at its fixed support A� along a vertical section. Determine the magnitude of the shear force that acts in the arm at its fixed support A� along a vertical section. Determine the magnitude of the moment that acts in the arm at its fixed support A� along a vertical section.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
Engineering Basics - Statics & Forces in Equilibrium; Author: Solid Solutions - Professional Design Solutions;https://www.youtube.com/watch?v=dQBvQ2hJZFg;License: Standard YouTube License, CC-BY