MECHANICS OF MATERIALS
11th Edition
ISBN: 9780137605521
Author: HIBBELER
Publisher: RENT PEARS
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Textbook Question
Chapter 12, Problem 4RP
Specify the slope at A and the maximum deflection. Use the method of integration. El is constant.
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Q1: Using the double-integration method, find the deflection C and the slope at B. Assume
that El is constant for the beam.
3L
2- Determine the slope and deflection at x = 3 m. (EI constant).
2 m
10 kNm
2 m
2 kN/m
2 m
2 m
5 KN
2 m
Given the beam, set-up the SLOPE and DEFLECTION equation using double integration method
Chapter 12 Solutions
MECHANICS OF MATERIALS
Ch. 12.2 - Determine the slope and deflection of end A of the...Ch. 12.2 - Determine the slope and deflection of end A of the...Ch. 12.2 - Determine the slope of end A of the cantilevered...Ch. 12.2 - Determine the maximum deflection of the simply...Ch. 12.2 - Determine the maximum deflection of the simply...Ch. 12.2 - Determine the slope of the simply supported beam...Ch. 12.2 - An L2 steel strap having a thickness of 0.125 in....Ch. 12.2 - The L2 steel blade of the band saw wraps around...Ch. 12.2 - A picture is taken of a man performing a pole...Ch. 12.2 - A torque wrench is used to tighten the nut on a...
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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Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- Using either Virtual Method or Castigliano Theorem, compute the slope and deflection at point B of the steel beam. Use E = 200 GPa & I = 60 x 106 mm4. Support C is fixed-supported and A is free-end. 3 kN В C A -5 m- -5 marrow_forwardQuestion 2 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 Moarrow_forwardDetermine the position and magnitude of the maximum deflection in the beam P -2a- A -X- Rc RAarrow_forward
- Using moment-area method, determine the angle of rotation and deflection 10 ft from “A”. EI is constantarrow_forwardUse 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_forwardDetermine the slope at point A and the deflection at point C. (E = 200 Gpa)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_forwardFind the value of the maximum deflection of each beam.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 Ely value under each concentrated load and at midspan of the beams showr. Determine also the location of the maximum deflection and the maximum EIY value by the double integration method. 55 KN 75 KN 45 KN 1.8 4m 1.6m 1.4m 25KN/m 55 KN 75 KN 45 KN 1.8 4m 1.6m 1.4m 35KN/m 15KN/m Aarrow_forwardDetermine the equations of the elastic curve usingthe x1 and x2 coordinates, and specify the slope at A and thedeflection at C. EI is constant.arrow_forwardDetermine the deflection and slope at point C byusing singularity function method.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