SHIGLEY'S MECH.ENGINEERING DESIGN-EBK>I
10th Edition
ISBN: 9781259489563
Author: BUDYNAS
Publisher: INTER MCG
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Chapter 4, Problem 55P
To determine
Whether the maximum deflection for a uniform-cross-section beam with simple supports at the ends lies in the range of
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Chapter 4 Solutions
SHIGLEY'S MECH.ENGINEERING DESIGN-EBK>I
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...
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- Draw the Shear Force Diagram (SFD) and Bending Moment Diagram (BMD) for a loaded simply supported beam shown below. 1KN 4KNarrow_forwardFind the maximum deflection in inches for the followingsimple beams of A992 steel with uniformly distributed load. Find the values using (1) the equation for deflection of a uniformly distributed load and (2) the curves in Figure 9.11. A. W 10 × 33, span = 18 ft, total service load = 1.67 kips/ftB. W 16 × 36, span = 20 ft, total service load = 2.5 kips/ftC. W 18 × 46, span = 24 ft, total service load = 2.29 kips/ftD. W 21 × 57, span = 27 ft, total service load = 2.5 kips/ftarrow_forwardA transverse force applied to a cantilever beam develops bending. Stress is within the elastic range but is too high. Which of the following statements best describes the optimal solution to reduce stress? A. Increase the length B. Increase the axial moment of inertia C. Reduce the cross-sectional area. D. Change to a stronger material (without changing the dimensions). E. Reduce the height of the beam.arrow_forward
- cross-section width w = 20 mm, cross-section hight h = 93 mm, length of the beam L =3 m , beam material’s Young’s modulus Q =226 GPa, applied bending moment MB = 11 kN.m The value of the deflection at Point B caused by MB ( Part I) can be calculated as 138.91mmarrow_forwardUsing Castigliano’s theorem, determine horizontal and vertical components of deflection at point C. Given: P=1000 N EA= 2*10^6 Narrow_forwardThe beam safely supports shear forces and bending moments of 2kN and 6.5 kN-m respectively. Based on this criterion, can it be safely subjected to the loads F = 1kN and C = 1.6 kN-m?arrow_forward
- Calculate first the formula and then the value of the angle of rotation and deflection of the beam with a length of 3m at the point C. L = 2.1m , A= 0.9m E=210GPa I=119x106mm4arrow_forwardIf the beam has a rectangular cross-section, then the shear-stress distribution will be parabolic. True or False?arrow_forwardA simple wooden beam, 150 mm wide by 250 mm deep and 7.5 long has a maximum deflection of 102 mm under a uniform load. If a third support is placed midway between the two supports to make the deflection equal to zero, E = 12411 MPa.1. What is the maximum bending stress? a. 6.75 MPab. 7.53 MPac. 8.34 MPad. 8.87 MPa2. What is the maximum shear stress? a. 0.45 MPab. 0.33 MPac. 0.56 MPad. 0.28 MPaarrow_forward
- A solid circular cross-section beam with length, L is subjected to a pure torsion T = 0.5 F(Nm) and a tensile load P = 5F N. Find the maximum value of F that can be applied to thebeam with a safety factor of 2.5 using;i) Maximum shear stress theoryii) Shear/distortion energy theory(Beam is made of steel with a diameter of 50 mm, L= 1.5 m, E = 200 GPa, Y = 250 MPa, v =0.29)arrow_forwardONLY SOLVE PART B Find the deflection y(x) differential equations where: a)The beam is embedded at x = L and a free end at x = 0. The applied load is w = w0*(1+Sin(πx/L)), wo is the maximum intensity of the load. B)Repeat part (a) for both embedded ends boundary conditions.arrow_forwardFor the beam and loading shown below, determine the beam deflection at point H. Assume that EI = 5.7 × 104 kN·m2 is constant for the beam; w = 8.1 kN/m, LHA = 2.7 m, LAB = 5.4 m.arrow_forward
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Solids: Lesson 53 - Slope and Deflection of Beams Intro; Author: Jeff Hanson;https://www.youtube.com/watch?v=I7lTq68JRmY;License: Standard YouTube License, CC-BY