Mechanics of Materials
11th Edition
ISBN: 9780137605460
Author: Russell C. Hibbeler
Publisher: Pearson Education (US)
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Chapter 12.4, Problem 78P
Determine the slope at B and deflection at C. El is constant.
Prob. 12–78
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I need handwritten solution with sketches for each
Given answers to be: i) 14.65 kN; 6.16 kN; 8.46 kN ii) 8.63 kN; 9.88 kN iii) Bearing 6315 for B1 & B2, or Bearing 6215 for B1
(b)
A steel 'hot rolled structural hollow section' column of length 5.75 m, has
the cross-section shown in Figure Q.5(b) and supports a load of 750 kN.
During service, it is subjected to axial compression loading where one end
of the column is effectively restrained in position and direction (fixed) and
the other is effectively held in position but not in direction (pinned).
i)
Given that the steel has a design strength of 275 MN/m², determine
the load factor for the structural member based upon the BS5950
design approach using Datasheet Q.5(b).
[11]
ii)
Determine the axial load that can be supported by the column
using the Rankine-Gordon formula, given that the yield strength of
the material is 280 MN/m² and the constant *a* is 1/30000.
[6]
300
600
2-300 mm
wide x 5 mm
thick plates.
Figure Q.5(b)
L=5.75m
Pinned
Fixed
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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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