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.

Structural Analysis
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Chapter2: Loads On Structures
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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 7.2
The 100-lb block in Fig. (a) is at rest on a rough horizontal plane before the force P
is applied. Determine the magnitude of P that would cause impending sliding to
the right.
W = 100 lb
Solution
4, = 0.5
HE = 0.2
The problem statement clearly specifies that sliding impends. Because we know
where it impends (there is only one friction surface), we conclude that this is a
Type II problem.
The free-body diagram of the block is shown in Fig. (b), where the friction
force is shown acting to the left, opposite the direction of impending sliding. There
are three unknowns in this FBD: P, N, and F. There are also three independent
equations: two equilibrium equations and Coulomb's law for impending sliding.
From the FBD we see that the equilibrium equations give N = 100 lb and
P = F. Coulomb's law then yields
(a)
100 lb
P = F = Fmax = M,N = 0.5(100) = 50 lb
Answer
F
IN
This completes the solution. Because there were no assumptions, no checks are
(b)
necessary.
Comment
Note that Fig. (a) in both Sample Problems 7.1 and 7.2 is identical. The differ-
ences are revealed only in the problem statements. This shows that you must read
each problem statement very carefully, because it determines the problem type.
A problem statement can imply impending sliding. For example, the following
are equivalent to the original statement of this problem: They both imply that Pis
to be calculated for impending sliding.
1. Determine the largest force P that can be applied without causing the block to
slide to the right.
2. Determine the smallest force P that will cause the block to slide to the right.
Transcribed Image Text:Sample Problem 7.2 The 100-lb block in Fig. (a) is at rest on a rough horizontal plane before the force P is applied. Determine the magnitude of P that would cause impending sliding to the right. W = 100 lb Solution 4, = 0.5 HE = 0.2 The problem statement clearly specifies that sliding impends. Because we know where it impends (there is only one friction surface), we conclude that this is a Type II problem. The free-body diagram of the block is shown in Fig. (b), where the friction force is shown acting to the left, opposite the direction of impending sliding. There are three unknowns in this FBD: P, N, and F. There are also three independent equations: two equilibrium equations and Coulomb's law for impending sliding. From the FBD we see that the equilibrium equations give N = 100 lb and P = F. Coulomb's law then yields (a) 100 lb P = F = Fmax = M,N = 0.5(100) = 50 lb Answer F IN This completes the solution. Because there were no assumptions, no checks are (b) necessary. Comment Note that Fig. (a) in both Sample Problems 7.1 and 7.2 is identical. The differ- ences are revealed only in the problem statements. This shows that you must read each problem statement very carefully, because it determines the problem type. A problem statement can imply impending sliding. For example, the following are equivalent to the original statement of this problem: They both imply that Pis to be calculated for impending sliding. 1. Determine the largest force P that can be applied without causing the block to slide to the right. 2. Determine the smallest force P that will cause the block to slide to the right.
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