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 6P
To determine
Find the elastic curve for the cantilever beam
Find the maximum slope of the beam
Find the maximum deflection of the beam
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Find the value of the maximum deflection of each beam.
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Determine the equation of the deflection for the cantilever beam shown. Then, calculate
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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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- Use double integration method to determine the equations of the elastic curve for the beam shown below and calculate the slope at A and deflection at C. EI is constant. -1.5 m- 6 kN -3 m- -3 m Barrow_forwardGiven the 200mm x 400mm beam with the loading shown, determine: a. the amount of load P applied on the beam if the deflection on the midspan is 5 mm downward. b. by this same load P, what is the deflection and slope on the beam at point D? Set the parameters as a = 3m, L = 9m , E = 200 GPa. EI is constant.arrow_forwardUsing the double-integration method, find the deflection C and the slope at B. Assume that EI is constant for the beam.arrow_forward
- Determine the maximum deflection of the beam and the slope at A. Use Macaulay's brackets in your derivation, setting the origin at A, to find a single expression for the slope and deflection over the entire length of the beam. El is constant. Mo Mo Barrow_forwardconsider the beam shown in. EI is constant. assume that EI is in kip * ft2. determine the expression for the elastic curve using the coordinate x1 for 0 < x1 < 20 ft, where x1 is in feet. v1 in ft answer in terms of the variables x1, E and I. determine the expression for the elastic curve using the coordinate x2 for 0 < x2 < 10 ft where x2 is in feet. v2 in ft. answer in terms of the variables x2, E and I. specify the deflection of the beam at C. vc in ft. answer in terms of E and I. specify the slope at A, measured counterclockwise from the positive x1 axis. Theta A in rad. answer in terms of E and I.arrow_forward3. Determine the maximum deflection of the beam loaded as shown. Let Mo = 75 kN.m and L = 3 m. El is constantarrow_forward
- Using 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_forwardDetermine the deflection at A and C and the slope at B of the beam loaded as shown. Let q. = 25 kN/m and L= 4 m. EI is %3D %3D constant MA P 90 A L/2 C L/2 B/ RBarrow_forwardconsider the beam shown in . EI is constant. determine the maximum deflection of the beam. determine the slope of the beam as A, measured counterclockwise from the positive x axis.arrow_forward
- Determine the equations of the elastic curve for the beam using the x1 and x2 coordinates. Specify the slope at A and the maximum deflection. Use the method of integration. EI is constant.arrow_forwarddetermine the deflection at B in mm using Conjugate Beam Method. Consider 150 mm x 200 (b x h) mm section and E=80 GPa. Enter the absolute value only and round off your answer to 3 decimal places Answer asap. I ratearrow_forwardconsider the beam shown in. EI is constant. assume that EI is in kip * ft2. specify the deflection of the beam at C. specify the slope at A, measured counterclockwise from the positive x1 axis.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