Read and Analyze the sample problems given. Give a thorough analysis stating what type of situation the author dealt, how the problem was solved, the assumptions that the author considered in solving the problem, and why where these assumptions made. Sample Problem 7.1The 100-lb block in Fig. (a) is initially at rest on a horizontal plane. Determine thefriction force between the block and the surface after P was gradually increasedW = 100 lbfrom 0 to 30 lb.Solution4, = 0,5H = 0.2From the problem statement we conclude that this is a Type I problem (impendingmotion is not specified). Furthermore, we do not know if the block will evenremain at rest in static equilibrium when P = 30 lb.(a)Assume Equilibrium100 lbOnce we have assumed that the body remains at rest, the equilibrium equationsfor the free-body diagram in Fig. (b) can be used to calculate the two unknowns(N and F), as follows.P = 30 lbEF, = 0 1N – 100 = 0N = 100 lbINEF, = 0 + P - F = 0(b)F = P = 30 lbBefore we can accept this solution, the assumption of equilibrium must bechecked.CheckThe maximum static friction force isFmax = 4,N = 0.5(100) = 50 lbBecause F < Fmax, we conclude that the block is in static equilibrium, and thecorrect value of the friction force isF = 30 lbAnswerCommentIf the coefficient of static friction had been 0.25, instead of 0.5, the block wouldnot be in equilibrium. The 30-lb friction force required for equilibrium would begreater than Fmax = 0.25(100) = 25 lb; therefore, the friction force would beF = FR = µ&N = 0.2(100) = 20 lband the block would be sliding to the right.

Sample Problem 7.1 The 100-lb block in Fig. (a) is initially at rest on a horizontal plane. Determine the friction force between the block and the surface after P was gradually increased W = 100 lb from 0 to 30 lb.

Sample Problem 7.1 The 100-lb block in Fig. (a) is initially at rest on a horizontal plane. Determine the friction force between the block and the surface after P was gradually increased W = 100 lb from 0 to 30 lb.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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