Mechanics of Materials
11th Edition
ISBN: 9780137605514
Author: Russell C. Hibbeler
Publisher: Pearson Education (US)
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Question
Chapter 14.10, Problem 135P
To determine
The displacement at point C of the beam made from A992 steel.
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The A992 steel beam has a moment of inertia of I = 125(106) mm4. Determine the displacement at point D.
Determine the slope at B of the beam made from A992 steel and having a moment of inertia of I = 53.8 in4.
The A992 steel beam has a moment of inertia of I = 125(106) mm4. Determine the slope at A.
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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- Which of the following moments of inertia should be used in calculating the largest force P that the beam can carry? L = 1.0 m; σem = 140 MPa; τem = 70 MPaarrow_forwardThe framework consists of one 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 1x = 65(106) mmª determine the deflection at the Point D at the centre of beam AB. 67 KN A C 4 m B D 2 m 2 marrow_forwardDetermine the smallest moment of inertia ? required for the beam, so that its max. deflectiondoes not exceed the limit of 1/240 of the span length (i.e., Δ ≤L/240). Use the moment-areamethod.arrow_forward
- The 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_forwardThe A992 steel angle has a cross-sectional area of A = 2.48 in2 and a radius of gyration about the x axis of rx = 1.26 in. and about the y axis of ry = 0.879 in. The smallest radius of gyration occurs about the a–a axis and is ra = 0.644 in. If the angle is to be used as a pin-connected 10-ft-long column, determine the largest axial load that can be applied through its centroid C without causing it to buckle.arrow_forwardConsider the asymmetric I-Beam where a = 0.8 in, b 0.8 in, b = 8 in, and c = 4 in. Determine the moment of inertia of the cross-sectional area shown with respect to the o Pasan Yo centroidal axes. af Iza Lyo = b 208.11 = 80.31573 C Yo b in 4 int a Ifa Xo 7 yarrow_forward
- O15-2. Consider a simple supported beam subjected to the load shown. The bearm has a solid square cross section with edge "a", and made of steel alloy having a yielding tensile and compressive strength of oy 600 MPa. Determine its minimum required edge "a" for a factor of safety against yielding FS = 1.5. The area moment of inertia of that section about its neutral axis N.A. Is lA = b.h/12. 3 kN 2 kN/m C D 3 6 marrow_forward545 10.4 MOMENTS OF INERTIA FOR COMPOSITE AREAS 10-34. Determine the moment of inertia of the beam's cross-sectional area about the y axis. 10-35. Determine y, which locates the centroidal axis x' for the cross-sectional area of the T-beam, and then find the moment of inertia about the x' axis. 150 mm 150 mm 50 mm 250 mm 25 mm 25 mm Probs. 10-34/35arrow_forward9-21. 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_forward
- Determine the displacement at point C of the W14 * 26 beam made from A992 steel.arrow_forwardDetermine the smallest moment of inertia I required for the beam shown, so that its maximum deflec- tion does not exceed the limit of 1/360 of the span length (i.e., Amax < L/360). Use the method of virtual work. 50 kN 100 kN 400 C kN . mA В 6 m 6 m -L = 12 m El = constant E = 200 GPa %3Darrow_forward10-133* Determine the second moments I, Iy, and Iy for the composite area shown in Fig. P10-133. 2 in. 5 in 3 in. 5 in. 7 in. 10 in. Fig. P10-133arrow_forward
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