Mechanics of Materials
11th Edition
ISBN: 9780137605514
Author: Russell C. Hibbeler
Publisher: Pearson Education (US)
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Chapter 14.4, Problem 44P
To determine
The speed v of the 50-Mg mass when it is just over the top of the steel post.
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Chapter 14 Solutions
Mechanics of Materials
Ch. 14.2 - A material is subjected to a general state of...Ch. 14.2 - The strain-energy density for plane stress must be...Ch. 14.2 - The A-36 steel bar consists of two segments, one...Ch. 14.2 - If P = 10 kip, determine the total strain energy...Ch. 14.2 - Determine the maximum force P and the...Ch. 14.2 - Consider the thin-walled tube of Fig.5-26 . Use...Ch. 14.2 - Determine the bending strain energy in the 2-in...Ch. 14.2 - Determine the bending strain energy in the...Ch. 14.2 - Determine the bending strain energy in the simply...Ch. 14.3 - Determine the horizontal displacement of joint A....
Ch. 14.3 - Determine the vertical displacement of point S on...Ch. 14.3 - Prob. 40PCh. 14.3 - Determine the vertical displacement of end B of...Ch. 14.4 - A bar is 4 m long and has a diameter of 30 mm....Ch. 14.4 - Determine the diameter of a red brass C83400 bar...Ch. 14.4 - Prob. 44PCh. 14.4 - The collar has a weight of 50 lb and falls down...Ch. 14.4 - Prob. 52PCh. 14.4 - The composite aluminum 2014T6 bar is made from two...Ch. 14.4 - The composite aluminum 2014-T6 bar is made from...Ch. 14.4 - If the beam is a W1015, determine the maximum...Ch. 14.4 - If the maximum allowable bending stress for the...Ch. 14.4 - A 40-lb weight is dropped from a height of h = 2...Ch. 14.4 - The car bumper is made of...Ch. 14.6 - Determine the vertical displacement of joint A....Ch. 14.6 - Determine the vertical displacement of joint E....Ch. 14.6 - Determine the horizontal displacement of joint B...Ch. 14.6 - Determine the vertical displacement of joint C of...Ch. 14.7 - Determine the displacement at point C. El is...Ch. 14.7 - The beam is made of southern pine for which Ep =...Ch. 14.7 - Determine the displacement at point C. El is...Ch. 14.7 - Determine the slope at point C. El is constant....Ch. 14.7 - Determine the slope at point A. El is constant....Ch. 14.7 - Determine the displacement of point C of the beam...Ch. 14.7 - Determine the slope at B of the beam made from...Ch. 14.7 - The beam is made of Douglas fir. Determine the...Ch. 14.7 - Determine the displacement at pulley B. The A992...Ch. 14.7 - Determine the displacement at point C of the...Ch. 14.7 - Determine the slope at A of the shaft. El is...Ch. 14.7 - Determine the slope at A of the 2014T6 aluminum...Ch. 14.7 - Prob. 104PCh. 14.7 - Prob. 105PCh. 14.7 - Determine the displacement at point C of the W14 ...Ch. 14.7 - Determine the slope at A of the W14 26 beam made...Ch. 14.7 - Determine the slope at C of the overhang white...Ch. 14.7 - Determine the displacement at point D of the...Ch. 14.7 - Determine the maximum deflection of the beam...Ch. 14.7 - The beam is made of oak, for which Eo = 11 GPa....Ch. 14.7 - Determine the slope of the shaft at the bearing...Ch. 14.7 - The L-shaped frame is made from two segments, each...Ch. 14.7 - Determine the vertical displacement of the ring at...Ch. 14.7 - Determine the horizontal displacement at the...Ch. 14.9 - Solve Prob. 1473 using Castiglianos theorem. 1473....Ch. 14.9 - Solve Prob. 1474 using Castiglianos theorem. 1474....Ch. 14.9 - Prob. 125PCh. 14.9 - Prob. 126PCh. 14.9 - Prob. 127PCh. 14.9 - Solve Prob. 1478 using Castiglianos theorem. 1478....Ch. 14.9 - Solve Prob. 1481 using Castiglianos theorem. 1481....Ch. 14.9 - Solve Prob. 1482 using Castiglianos theorem. 1482....Ch. 14.9 - Solve Prob. 1485 using Castiglianos theorem. 1485....Ch. 14.9 - Solve Prob. 1486 using Castiglianos theorem. 1486....Ch. 14.10 - Solve Prob. 1490 using Castiglianos theorem. 1490....Ch. 14.10 - Solve Prob. 1491 using Castiglianos theorem. 1491....Ch. 14.10 - Prob. 135PCh. 14.10 - Solve Prob. 1493 using Castiglianos theorem. 1493....Ch. 14.10 - Solve Prob. 1495 using Castiglianos theorem. 1495....Ch. 14.10 - Solve Prob. 1496 using Castiglianos theorem. 1496....Ch. 14.10 - Prob. 139PCh. 14.10 - Prob. 140PCh. 14.10 - Prob. 141PCh. 14 - A = 2300 mm2, I = 9.5(106) mm4. R141Ch. 14 - If the spring at B has a stiffness k = 200 kN/m....Ch. 14 - The spring at B has a stiffness k = 200 kN/m....Ch. 14 - If they each have a diameter of 30 mm, determine...Ch. 14 - and a length of 10 in. It is struck by a hammer...Ch. 14 - Determine the total axial and bending strain...Ch. 14 - The truss is made from A992 steel rods each having...Ch. 14 - The truss is made from A992 steel rods each having...Ch. 14 - El is constant. Use the method of virtual work....Ch. 14 - using Castiglianos theorem. R149. The cantilevered...
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- 9-29. The bar has a cross-sectional area of 1800 mm', and E - 250 GPa. Determine the displacement of its end A when it is subjected to the distributed loading. w - 500x" Nim 1.5marrow_forwardThe assembly consists of a steel rod CB and an aluminum rod BA, each having a diameter of 15 mm. The rod is subjected to the axial loadings at A and at the coupling B. If after applying the load coupling B displaced 1.1 mm to the right, determine the change in the dimension of the cross section of steel rod CB. The unstretched length of each segment is shown in the figure. Neglect the size of the connections at B and C, and assume that they are rigid. Est = 200 GPa Vst = 0.32 %3D В A 20 kN 7 kN 3 m - 2 m·arrow_forwardThe shaft is supported by a smooth thrust bearing at A and a smooth journal bearing at B. Determine the resultant internal loadings acting on the cross-section at C.arrow_forward
- The rod has a circular cross section. If it is made of an elastic perfectly plastic material, determine the shape factor for the rod.arrow_forward9-15. The steel bar has the original dimensions shown in the figure. If it is subjected to an axial load of 50 kN. determine the change in its length and its new cross-sectional dimensions at section aa. E-200 GPa,-029. 50 AN SOLN -20 mm mm s50 mm 50 mm 50 kN 200 mmarrow_forwardEach member of the truss has a cross-sectional area of 1850 mm2 and is made of A-36 steel (E=233 GPa). If P = 20 kN, determine the horizontal displacement of joint A.arrow_forward
- The force P is applied to the bar, which is made from an elastic perfectly plastic material. Construct a graph to show how the force in each section AB and BC (vertical axis) varies as P (horizontal axis) is increased. The bar has cross-sectional areas of 1 in2 in region AB and 4 in2 in region BC. Take sY = 30 ksi.arrow_forwardThe rod has a circular cross section. If it is made of an elastic perfectly plastic material, determine the shape factor.arrow_forwardA surveillance camera weighing 3 kg is mounted on a tubular frame as shown.shows in the following image. There is an external disturbance ?(?) = 30 cos(50?) ? actingabout the camera. Determine the cross section of the aluminum structure if it is the maximumamplitude is limited to 2 mmarrow_forward
- 46. The bar has a cross-sectional area of 3 in?, and E = 35(10³) ksi. Determine the displacement of its end A when it is subjected to the distributed loading. w = 500x/ lb/in. -4 ftarrow_forwardThe truss is made of three A-36 steel members, each having a cross-sectional area of 400 mm2. Determine the horizontal displacement of the roller at C when P = 8 kN.arrow_forwardThe aluminum block has a rectangular cross section and is subjected to an axial compressive force of 8 kip. If the 1.5-in. side changes its length to 1.500132 in., determine Poisson's ratio and the new length of the 2-in. side. Eal = 10,000 ksi. 1.5 in. 8 kip 2 in. 8 kip 3 in.arrow_forward
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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