Mechanics of Materials
11th Edition
ISBN: 9780137605460
Author: Russell C. Hibbeler
Publisher: Pearson Education (US)
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Textbook Question
Chapter 12.2, Problem 3FP
Determine the slope of end A of the cantilevered beam. E = 200 GPa and I = 65.0(106) mm4.
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Students have asked these similar questions
Determine the magnitude of the moment MC for the cantilever beam, where P = 20 kips and M = 60 kip-ft
Determine the slope u at point B of the steel beam as shown. Take E = 200 GPa, I = 60(106) mm4.
Q:
Determine the internal normal force and shear
F kip
force, and the bending moment in the beam at
point D. Assume the support at B is a roller.
40 kip-ft
Section A: Take F = 10 kip
Section B: Take F = 4 kip
D
B
8 ft
8 ft
8 ft
Chapter 12 Solutions
Mechanics of Materials
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Ch. 12.2 - The pipe can be assumed roller supported at its...Ch. 12.2 - Determine the equations of the elastic curve for...Ch. 12.2 - Determine the equations of the elastic curve using...Ch. 12.2 - Determine the maximum deflection of the solid...Ch. 12.2 - Determine the equation of the elastic curve using...Ch. 12.2 - Determine the equations of the elastic curve using...Ch. 12.3 - The shaft supports the two pulley loads shown....Ch. 12.3 - Determine the equation of the elastic curve, the...Ch. 12.3 - Determine the equation of the elastic curve and...Ch. 12.3 - Determine the maximum deflection of the...Ch. 12.3 - Prob. 45PCh. 12.3 - Prob. 46PCh. 12.3 - Prob. 47PCh. 12.3 - Prob. 48PCh. 12.4 - Determine the slope and deflection of end A of the...Ch. 12.4 - Determine the slope and deflection of end A of the...Ch. 12.4 - Determine the slope and deflection of end A of the...Ch. 12.4 - Determine the slope and deflection at A of the...Ch. 12.4 - Prob. 11FPCh. 12.4 - Determine the maximum deflection of the simply...Ch. 12.4 - Determine the slope and deflection at C. El is...Ch. 12.4 - Prob. 54PCh. 12.4 - The composite simply supported steel shaft is...Ch. 12.4 - Determine the maximum deflection of the...Ch. 12.4 - Prob. 60PCh. 12.4 - Determine the slope at A and the maximum...Ch. 12.4 - Determine the displacement of the 20-mm-diameter...Ch. 12.4 - The two force components act on the tire of the...Ch. 12.4 - Determine the slope at B and deflection at C. El...Ch. 12.4 - Prob. 79PCh. 12.5 - The W10 15 cantilevered beam is made of A-36...Ch. 12.5 - The W14 43 simply supported beam is made of A992...Ch. 12.5 - The W14 43 simply supported beam is made of A992...Ch. 12.5 - The W14 43 simply supported beam is made of A-36...Ch. 12.7 - Determine the reactions at the supports A and B,...Ch. 12.7 - Determine the reactions at the supports A, B, and...Ch. 12.7 - Determine the reactions at the supports A and B,...Ch. 12.7 - The beam has a constant E1I1 and is supported by...Ch. 12.8 - Determine the reaction at the supports, then draw...Ch. 12.9 - Determine the reactions at the fixed support A and...Ch. 12.9 - Determine the reactions at the fixed support A and...Ch. 12.9 - Determine the reactions at the fixed support A and...Ch. 12.9 - Determine the reaction at the roller B. EI is...Ch. 12.9 - Determine the reaction at the roller B. EI is...Ch. 12.9 - Determine the reaction at the roller support B if...Ch. 12.9 - Determine the reactions at the journal bearing...Ch. 12.9 - Determine the reactions at the supports, then draw...Ch. 12.9 - Determine the reactions at the supports, then draw...Ch. 12.9 - The rim on the flywheel has a thickness t, width...Ch. 12.9 - Determine the moment developed in each corner....Ch. 12 - Determine the equation of the elastic curve. Use...Ch. 12 - Draw the bending-moment diagram for the shaft and...Ch. 12 - Determine the moment reactions at the supports A...Ch. 12 - Specify the slope at A and the maximum deflection....Ch. 12 - Determine the maximum deflection between the...Ch. 12 - Determine the slope at B and the deflection at C....Ch. 12 - Determine the reactions, then draw the shear and...Ch. 12 - El is constant.Ch. 12 - Using the method of superposition, determine the...
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- Determine the magnitude of the moment MC for the cantilever beam, where P = 37 kips, w = 7 kips/ft, L1 = 3ft and L2 = 7ft.arrow_forwardIf the beam is made from a material having an allowable tensile and compressive stress of (Callow), = 125 MPa and (Callow)c = 150 MPa, respectively, determine the maximum allowable internal moment M that can be applied to the beam.arrow_forwardDetermine the slope at points B and C of the beam shown. Take E = 29(103) ksi and I = 600 in4.arrow_forward
- The beam is made of southern pine for which Ep = 13 GPa. Determine the displacement at A.arrow_forwardDetermine the magnitude of the moment Mc for the cantilever beam, where P = 14 kips and M = 65 kip-ft. M 3.5 ft 6.5 ft O 94 kips O 75 kips 48 kips 81 kips 63 kipsarrow_forwardUsing Moment-Area Method, determine the slope at A and B and the deflection at point B of the loaded beam shown. Use E = 150 GPa and I = 110x106 mm4. (Please show moment diagrams by parts)arrow_forward
- 3. Set up necessary equations to solve for the beam reactions. Due to poor construction, roller support B settles by 12 mm. If E=200 GPa and I=80(10)6 mm4 24KN/m C 4m 4m Aarrow_forwardDetermine the magnitude of the moment MA for the cantilever beam, where w = 7 kN/m, M = 12 kN-m, and L = 7 m.arrow_forwardThis laboratory focusses on the bending of a simply-supported beam, as shown in the following schematic (Figure 1). W/2 Z a 6.4mm X W/2 23mm Figure 1 the loading scheme of a beam It can be shown that for this loading case, the bending moment for a ≤ x ≤ L-a is constant and equal to Wa/2. In this experiments, a = 350 mm and L = 835 mm. Loading the beam in this way, rather than loading the beam at just one point, has two main advantages: (i) it allows a strain gauge to be placed at the top of the beam and (ii) the constant bending moment area that it creates gives better strain gauge performance when stretched or compressed. 6.4mm W/2 8mm a 38.1mm W/2 indicates strain gauge 38.1mm Figure 2 the dimensions of the cross section of the beam and the position of the strain gaugesarrow_forward
- Determine the support reactions for the beam on the left if w=250N/m and L=6m don’t short cut stepsarrow_forwardDetermine the internal shear force in the beam at point C. Assume the support at B is a roller. Point C is located just to the right of the point load F. Set F = 6.2 kips and P = 45 kip. ft. 8 ft F 8 ft D 8 ft B P Iarrow_forwardIf the allowable tensile and compressive stress for the beam are (sallow)t = 2 ksi and (sallow)c = 3 ksi, respectively, determine the maximum moment M that can be applied on the cross section.arrow_forward
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Solids: Lesson 53 - Slope and Deflection of Beams Intro; Author: Jeff Hanson;https://www.youtube.com/watch?v=I7lTq68JRmY;License: Standard YouTube License, CC-BY