Mechanics of Materials
11th Edition
ISBN: 9780137605460
Author: Russell C. Hibbeler
Publisher: Pearson Education (US)
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Textbook Question
Chapter 14, Problem 7RP
The truss is made from A992 steel rods each having a diameter of 1 in.
R14–7/8
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Using the Method of Sections, determine the force in members BD and CD of the truss
shown below. You must indicate the location in the truss where you made the "cut," and show a free
body diagram of the isolated section.
36 kips 36 kips
D
F
vils
E
-4 panels at 10 ft=40 ft-
B
H
7.5 ft
The horizontal link BC is made of 2014-T6 aluminum, if P = 10 kips, determine its new length
Determine the vertical displacement of joint D. The truss is made from A992 steel rods having a diameter of 30 mm.
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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- Determine the radius of the round strut so that the round and square struts have the same cross-sectional area, and compute the critical load for each. Use E=200 GPa.arrow_forward400 mm A 992 steel 800 mm 50 mm 2014-T6 aluminum alloy Section a-a The 2014-T6 aluminium rod AC is reinforced with the firmly bonded A992 steel tube BC. The assembly fits snugly between the rigid supports so that there is no gap at C. An axial force of P=445 kN is applied. The assembly is attached at D. Determine the support reaction at CC. Express your answer to three significant figures and include appropriate units.arrow_forwardProblem – Determine the force in each member of the truss shown below C F= 100 kips 1S' 15' 15 D E - 20- 20arrow_forward
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- Determine the force in member BE of the loaded truss. The force is positive if in tension, negative if in compression. 10' 12' 10 20 F 20 E 13 \13 L 2L 49 A 49 Answer: BE = Larrow_forwardThe rods AB and CD are made of steel. Determine their smallest diameter so that they can support the dead loads shown. The beam is assumed to be pin connected at A and C. Use the LRFD method, where the resistance factorfor steel in tension is f = 0.9, and the dead load factor is gD = 1.4. The failure stress is sfail = 345 MPa.arrow_forwardThe rigid beam is supported by a pin at C and an A-36 steel guy wire AB. Part A If the wire has a diameter of 0.2 in., determine the distributed load w if the end B is displaced 0.25 in. downward. Express your answer to three significant figures. ΠΑΣΦ W = vec ? kip ft W -10 ft 30° Barrow_forward
- Determine the shape factor for the member having the tubular cross section.arrow_forward4/15 A drawbridge is being raised by a cable EI The four joint loadings shɔwn resuit from the weight of the roadway. Determine the ferces in members EF, DE, DF, CD, and FG. 10 -10'- F 50 E 10- G 2 kips A 20° 4 klps 4 kips 2 kipsarrow_forwardDetermine the largest length of a W10 * 12 structural A992 steel section if it is pin supported and is subjected to an axial load of 28 kip. Use the AISC equations.arrow_forward
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