Mechanics of Materials
11th Edition
ISBN: 9780137605460
Author: Russell C. Hibbeler
Publisher: Pearson Education (US)
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Textbook Question
Chapter 14.7, Problem 121P
Determine the vertical displacement of the ring at point B. El is constant.
Prob. 14–121
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Determine the shape factor of the cross section.
The rod has a circular cross section. If it is made of an elastic perfectly plastic material, determine the shape factor for the rod.
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O A) 2.5 mm
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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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- 9-21. Determine the slope and displacement at point C. Use the principle of virtual work. El is constant. 9-22. Solve Prob. 9-21 using Castigliano's theorem. A 6 kN/m 3 m C 15 kN Probs. 9-21/22 3 m Barrow_forward10-136* For the shaded composite area shown in Fig. P10- 136, determine The mixed second moment Iy for the area. 60 mm 240 mm 60 mm 180 mm 60 mm Fig. P10-136arrow_forwardThe rod has a circular cross section. If it is made of an elastic perfectly plastic material, determine the shape factor.arrow_forward
- PE-5. Stelch the bending stres distribution over cach crOSS NOclion. Marrow_forward9-1. The A992 steel rod is subjected to the kading shown. If the cross-sectional area of the rod is 80 mm.determine the displacement of 8 and A. Neglect the size of the couplings at 8 and C. 1.30m EN 6 KN 5 kN 5 kN "10 KNarrow_forward*17-16. The two steel channels are to be laced together to form a 9-m-long bridge column assumed to be pin connected at its ends. Each channel has a cross-sectional area of A = 1950 mm and moments of inertia l; = 21.60(10) mm“, ly = 0.15(10) mm'. The centroid C of its area is located in the figure. Determine the proper distance d between the centroids of the channels so that buckling occurs about the x-x and y' - y' axes due to the same load. What is the value of this critical load? Neglect the effect of the lacing. Est = 200 GPa, oy = 350 MPa. 6.5 mm 30 mm d-arrow_forward
- F10-7. Determine the moment of inertia of the cross-sectional area of the channel with respect to the y axis. 50 mm 50 mm 300 mm 50 mm -200 mm- Prob. F10-7 -Xarrow_forwardDetermine the distance H from the upper surface of the symmetric double-T beam cross section to the location of the centroid. 350 15 +70 260 15 Dimensions in millimeters Answer: H = i mmarrow_forwardThe assembly consists of a cantilevered beam CB and a simply supported beam AB. If each beam is made of A-36 steel and has a moment of inertia about its principal axis of Ix = 118 in4, determine the displacement at the center D of beam BA.arrow_forward
- explain how to find the resultant internal loading acting on the cross section at point A. Draw all necessary free-body diagrams, and indicate the relevant equations of equilibrium. Do not calculate values The lettered dimensions, angles, and loads are assumed to be known. P7-1. вarrow_forwardDetermine the distance from the upper surface of the symmetric double-T beam cross section to the location of the centroid. 255 55. IT 11 Answer: H= 190 Dimensions in millimeters = i H mmarrow_forwardDetermine the distance H from the upper surface of the symmetric double-T beam cross section to the location of the centroid. 255 18 -60 - H 130 k18 Dimensions in millimeters Answer: H = i mmarrow_forward
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