Statics and Mechanics of Materials (5th Edition)
5th Edition
ISBN: 9780134382593
Author: Russell C. Hibbeler
Publisher: PEARSON
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Textbook Question
Chapter 16, Problem 4RP
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.
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Students have asked these similar questions
Determine the equations of the elastic curve usingthe x1 and x2 coordinates, and specify the slope at A and thedeflection at C. EI is constant.
Given 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.
consider 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.
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 elastic Curve for the cantilevered beam, which is subjected to the couple moment ?0. Also compute the maximum slope and maximum deflection of the beam. EI is constant.arrow_forwardFor the beam shown, determine in terms of W, L, E, and I: The equation of the elastic curve The rotations at points A and B Deflection of point C The maximum deflection of the beam Check the results of parts b and c using the Area Moment Methodarrow_forwardNonearrow_forward
- 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_forwardA concentrated load F is applied at the midspan L/2 of this indeterminate beam. Determine the reaction forces. Also using singularity functions determine the deflection in terms of EI at the redudant support shown at L/4.arrow_forwardThe wooden beam is subjected to the loading shown. Determine the equation of the elastic curve, then calculate the deflection at end C. 9 ft- 0.8 kip/ft B 9 ft 1.5 kip 12 in. C 6 in.arrow_forward
- Draw the bending-moment diagram for the shaft and then, from this diagram, sketch the deflection or elastic curve for the shaft’s centerline. Determine the equations of the elastic curve using the coordinates x1 and x2. EI is constantarrow_forwardDetermine the equations of the elastic curve using the x1 and x2 coordinates. What is the slope at A and the displacement at C? El is constant. Use the Method of Integration. B 8 kip 20 kip-ft x2 X1 20 ft 10 ft-arrow_forwardDetermine 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_forward
- Using moment-area method, determine the angle of rotation and deflection 10 ft from “A”. EI is constantarrow_forwardDetermine the position and magnitude of the maximum deflection in the beam P -2a- A -X- Rc RAarrow_forwardA 30 2 B For the beam as shown determine the equation of the elastic curve using the x coordinate that is valid for 0 ≤ L/2. Specify the slope at A and vmax for the beam. El is constant.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