Statics and Mechanics of Materials (5th Edition)
5th Edition
ISBN: 9780134382593
Author: Russell C. Hibbeler
Publisher: PEARSON
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Chapter 16.2, Problem 3FP
To determine
Find the slope of end A of the cantilever beam
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Determine the slope u at point B of the steel beam as shown. Take E = 200 GPa, I = 60(106) mm4.
Determine the magnitude of the moment MC for the cantilever beam, where P = 20 kips and M = 60 kip-ft
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 16 Solutions
Statics and Mechanics of Materials (5th Edition)
Ch. 16.2 - In each ease, determine the internal bending...Ch. 16.2 - Prob. 1FPCh. 16.2 - Determine the slope and deflection of end A of the...Ch. 16.2 - Prob. 3FPCh. 16.2 - Prob. 4FPCh. 16.2 - Determine the maximum deflection of the simply...Ch. 16.2 - Prob. 6FPCh. 16.2 - An L2 steel strap having a thickness of 0.125 in....Ch. 16.2 - The L2 steel blade of the band saw wraps around...Ch. 16.2 - A picture is taken of a man performing a pole...
Ch. 16.2 - Determine the equation of the elastic curve for...Ch. 16.2 - Determine the deflection of end C of the...Ch. 16.2 - Prob. 6PCh. 16.2 - The A-36 steel beam has a depth of 10 in. and is...Ch. 16.2 - Prob. 8PCh. 16.2 - Determine the equations of the elastic curve for...Ch. 16.2 - Determine the equations of the elastic curve using...Ch. 16.2 - Determine the equations of the elastic curve using...Ch. 16.2 - Prob. 12PCh. 16.2 - Determine the maximum deflection of the beam and...Ch. 16.2 - The simply supported shaft has a moment of inertia...Ch. 16.2 - A torque wrench is used to tighten the nut on a...Ch. 16.2 - The pipe can be assumed roller supported at its...Ch. 16.2 - Determine the equations of the elastic curve for...Ch. 16.2 - The bar is supported by a roller constraint at B,...Ch. 16.2 - The bar is supported by a roller constraint at B,...Ch. 16.2 - Determine the equations of the elastic curve using...Ch. 16.2 - Prob. 21PCh. 16.2 - Determine the elastic curve for the cantilevered...Ch. 16.2 - Prob. 23PCh. 16.2 - Prob. 24PCh. 16.2 - The floor beam of the airplane is subjected to the...Ch. 16.2 - Determine the maximum deflection of the simply...Ch. 16.2 - The beam is made of a material having a specific...Ch. 16.2 - Determine the slope at end B and the maximum...Ch. 16.2 - Prob. 29PCh. 16.2 - Determine the equations of the elastic curve using...Ch. 16.3 - The shaft is supported at A by a journal bearing...Ch. 16.3 - The shaft supports the two pulley loads shown....Ch. 16.3 - Prob. 33PCh. 16.3 - Prob. 34PCh. 16.3 - The beam is subjected to the load shown. Determine...Ch. 16.3 - Prob. 36PCh. 16.3 - Determine the equation of the elastic curve and...Ch. 16.3 - Prob. 38PCh. 16.3 - Prob. 39PCh. 16.3 - Determine the slope at A and the deflection of end...Ch. 16.3 - Determine the maximum deflection in region AB of...Ch. 16.3 - Prob. 42PCh. 16.3 - Prob. 43PCh. 16.3 - Prob. 44PCh. 16.4 - The W10 15 cantilevered beam is made of A-36...Ch. 16.4 - The W10 15 cantilevered beam is made of A-36...Ch. 16.4 - The W14 43 simply supported beam is made of A992...Ch. 16.4 - The W14 43 simply supported beam is made of A992...Ch. 16.4 - The W14 43 simply supported beam is made of A-36...Ch. 16.4 - The W14 43 simply supported beam is made of A-36...Ch. 16.4 - The W8 48 cantilevered beam is made of A-36 steel...Ch. 16.4 - The beam supports the loading shown. Code...Ch. 16.4 - Prob. 53PCh. 16.4 - The W8 48 cantilevered beam is made of A-36 steel...Ch. 16.4 - Prob. 55PCh. 16.4 - Prob. 56PCh. 16.4 - Prob. 57PCh. 16.4 - The assembly consists of a cantilevered beam CB...Ch. 16.4 - Prob. 59PCh. 16.4 - Prob. 60PCh. 16.5 - Determine the reactions at the fixed support A and...Ch. 16.5 - Prob. 8FPCh. 16.5 - Determine the reactions at the fixed support A and...Ch. 16.5 - Prob. 10FPCh. 16.5 - Prob. 11FPCh. 16.5 - Prob. 12FPCh. 16.5 - Prob. 61PCh. 16.5 - Determine the reactions at the supports, then draw...Ch. 16.5 - Determine the reactions at the supports, then draw...Ch. 16.5 - Prob. 64PCh. 16.5 - The beam is used to support the 20-kip load....Ch. 16.5 - Prob. 66PCh. 16.5 - Determine the reactions at the supports A and B....Ch. 16.5 - Before the uniform distributed load is applied to...Ch. 16.5 - Prob. 69PCh. 16.5 - Prob. 70PCh. 16.5 - The beam is supported by the bolted supports at...Ch. 16.5 - Prob. 72PCh. 16.5 - Prob. 73PCh. 16 - Prob. 1RPCh. 16 - Draw the bending-moment diagram for the shaft and...Ch. 16 - Prob. 3RPCh. 16 - Determine the equations of the elastic curve for...Ch. 16 - Determine the maximum deflection between the...Ch. 16 - Prob. 6RPCh. 16 - The framework consists of two A-36 steel...Ch. 16 - Prob. 8RPCh. 16 - 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_forwardDetermine the slope at points B and C of the beam shown. Take E = 29(103) ksi and I = 600 in4.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_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_forward3. 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_forward
- Determine the magnitude of the moment MA for the cantilever beam, where w = 7 kN/m, M = 12 kN-m, and L = 7 m.arrow_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_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