Mechanics of Materials, Student Value Edition Plus Mastering Engineering with Pearson eText -- Access Card Package (10th Edition)
10th Edition
ISBN: 9780134326054
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 14.9, Problem 14.130P
Solve Prob. 14–82 using Castigliano’s theorem.
14–82. Determine the vertical displacement of joint D. Each A-36 steel member has a cross-sectional area of 400 mm2.
Probs. 14–81/82
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CORRECT ANSWER AND COMPLETE FBD ONLY. I PREFER HANDWRITTEN BUT ITS OKAY IF NOT. I WILL UPVOTE
2. The space truss shown is supported by ball-and-socket joints at A, B and C. Factored loads P1 and P2 areacting on joints D and E, respectively, towards the negative y-direction.
1. Calculate the stress of member CE, indicate tension or compression. Answer: 23.61 MPa Tension2. Calculate the stress of member AD, indicate tension or compression. Answer: 21.01 MPa Compression3. Calculate the stress of member CD, indicate tension or compression. Answer: 11.03 MPa Tension
CORRECT ANSWER AND COMPLETE FBD ONLY. I PREFER HANDWRITTEN BUT ITS OKAY IF NOT. I WILL UPVOTE
3. The frame has pin supports at A and E, subject to a wind load. Treat joint C to be an internal hinge.
Given:Dimensions, H1 = 3.0 m; H2 = 4.5 m; L = 10.0 mWind loads, wWL (AB) = 4.8 kN/m; wWL (BC) = 3.9 kN/m; wWL (CD) = 1.5 kN/m; wWL (DE) = 1.2 kN/mMembers are made of A36 steel Wide Flange Section with the following properties:Area, A = 64000 mm2Depth, d = 762 mmFlange width, bf = 371 mmThickness of web, tw = 32 mmThickness of flange, tf = 57.9 mmMoment of inertia about x-axis, Ix = 6080 x 106 mm4The wide flange is oriented so that the bending is about the x-axis1. Calculate the stress in member AB, due to the axial load it carries, indicate if tension or compression.Answer: 0.0476 MPa Tension2. Calculate the stress in member DE, due to the axial load it carries, indicate if tension or compression.Answer: 0.2351 MPa Compression3. Calculate the maximum bending stress at B. Answer: 4.282 MPa
32 mm
32 mm
b'
c'
C
32 mm
32 mm
b
PROBLEM 6.41
a
The extruded beam shown has a uniform wall thickness of 3 mm. Knowing that
the vertical shear in the beam is 9 kN, determine the shearing stress at each of the
five points indicated.
Chapter 14 Solutions
Mechanics of Materials, Student Value Edition Plus Mastering Engineering with Pearson eText -- Access Card Package (10th Edition)
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 - Determine the torsional strain energy in the A992...Ch. 14.2 - Using bolts of the same material and...Ch. 14.2 - If P = 60 kN, determine the total strain energy...Ch. 14.2 - Determine the maximum force P and the...Ch. 14.2 - Determine the torsional strain energy in the A992...Ch. 14.2 - Determine the torsional strain energy in the A-36...Ch. 14.2 - The shaft assembly is fixed at C. The hollow...
Ch. 14.2 - Determine the total axial and bending strain...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 A992...Ch. 14.2 - Determine the bending strain energy in the beam....Ch. 14.2 - Prob. 14.17PCh. 14.2 - Prob. 14.18PCh. 14.2 - Determine the bending strain energy in the 2-in...Ch. 14.2 - Determine the total strain energy in the steel...Ch. 14.2 - Determine the bending strain energy in the beam....Ch. 14.2 - The bolt has a diameter of 10 mm, and the arm AB...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 vertical displacement of joint D. AE...Ch. 14.3 - Determine the horizontal displacement of joint C....Ch. 14.3 - Determine the horizontal displacement of joint A....Ch. 14.3 - AE is constant. Prob. 1428Ch. 14.3 - Determine the vertical displacement of point C of...Ch. 14.3 - Determine the vertical displacement of end B of...Ch. 14.3 - Determine the vertical displacement of point S on...Ch. 14.3 - EI is constant. Prob. 1432Ch. 14.3 - The A992 steel bars are pin connected at C and D....Ch. 14.3 - The A992 steel bars are pin connected at C. If...Ch. 14.3 - Determine the slope of the beam at the pin support...Ch. 14.3 - The cantilevered beam has a rectangular...Ch. 14.3 - The rod has a circular cross section with a moment...Ch. 14.3 - The rod has a circular cross section with a moment...Ch. 14.3 - Determine the vertical displacement of point B on...Ch. 14.3 - Prob. 14.40PCh. 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. 14.44PCh. 14.4 - The collar has a weight of 50 lb and falls down...Ch. 14.4 - The collar has a weight of 50 lb and falls down...Ch. 14.4 - Prob. 14.47PCh. 14.4 - Prob. 14.48PCh. 14.4 - Prob. 14.49PCh. 14.4 - Prob. 14.50PCh. 14.4 - The A-36 steel bolt is required to absorb the...Ch. 14.4 - Prob. 14.52PCh. 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 - When the 100-lb block is at h = 3 ft above the...Ch. 14.4 - If the bar has a diameter of 20 mm, determine the...Ch. 14.4 - The collar has a mass of 5 kg and falls dawn the...Ch. 14.4 - The tugboat has a weight of 120 000 lb and is...Ch. 14.4 - The W10 12 beam is made from A-36 steel and is...Ch. 14.4 - The weight of 175 lb is dropped from a height of 4...Ch. 14.4 - The weight of 175 lb, is dropped from a height of...Ch. 14.4 - Determine the maximum height h from which an 80-lb...Ch. 14.4 - The 80-lb weight is dropped from rest at a height...Ch. 14.4 - The 75-lb block has a downward velocity of 2 ft/s...Ch. 14.4 - The 75-lb block has a downward velocity of 2 ft/s...Ch. 14.4 - Prob. 14.66PCh. 14.4 - The overhang beam is made of 2014T6 aluminum....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 horizontal displacement of joint B....Ch. 14.6 - Determine the vertical displacement of joint B....Ch. 14.6 - Determine the vertical displacement of joint B....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 B....Ch. 14.6 - Determine the horizontal displacement of joint B...Ch. 14.6 - Determine the vertical displacement of joint C of...Ch. 14.6 - Determine the horizontal displacement of joint C....Ch. 14.6 - Determine the vertical displacement of joint D....Ch. 14.6 - Determine the vertical displacement of joint A....Ch. 14.6 - The truss is made from A992 steel rods having a...Ch. 14.6 - Determine the horizontal displacement of joint D....Ch. 14.6 - Determine the horizontal displacement of joint E....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 - The A992 steel beam has a moment of inertia of I =...Ch. 14.7 - The A992 steel beam has a moment of inertia of I =...Ch. 14.7 - The A992 structural steel beam has a moment of...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 of end C of the overhang beam....Ch. 14.7 - Determine the displacement of point D of the...Ch. 14.7 - Determine the slope at A of the 2014T6 aluminum...Ch. 14.7 - Prob. 14.104PCh. 14.7 - Prob. 14.105PCh. 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 A. El is constant. Prob....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 - Determine the horizontal and vertical...Ch. 14.7 - Beam AB has a square cross section of 100 mm by...Ch. 14.7 - Beam AB has a square cross section of 100 mm by...Ch. 14.7 - Bar ABC has a rectangular cross section of 300 mm...Ch. 14.7 - Bar ABC has a rectangular cross section of 300 mm...Ch. 14.7 - The L-shaped frame is made from two segments, each...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. 14.125PCh. 14.9 - Prob. 14.126PCh. 14.9 - Prob. 14.127PCh. 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. 14.135PCh. 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. 14.139PCh. 14.10 - Prob. 14.140PCh. 14.10 - Prob. 14.141PCh. 14.10 - Solve Prob. 14119 using Castiglianos theorem....Ch. 14.10 - Prob. 14.143PCh. 14.10 - Solve Prob. 14105 using Castiglianos theorem....Ch. 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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