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 Problem7.4Can the system in Fig. (a) be in static equilibrium in the position shown? Theuniform bar AB weighs 500 lb, and the weight of block C is 300 lb. Friction at Ais negligible, and the coefficient of static friction is 0.4 at the other two contactL.surfaces.10 ftSolutionB3050°Because it is not known whether motion impends, we identify this as a Type Iproblem. Note that the FBDS of the bar and the block, Figs. (b) and (c), containfive unknowns: NA, NB, FB, Nc, and Fc.(a)Assume EquilibriumUnder this assumption, there are five equilibrium equations: three for the barAB and two for the block C. The unknowns may be computed by the followingprocedure.ft40°5 ftFBD of AB [Fig. (b)]30500 lbFBEMB = 0 3 NẠ sin 40° (10 cos 30°) + Na cos 40°(10 sin 30°)Ng-500(5 cos 30°) = 0(b)NA = 230.4 lbΣF, 0+ FB - NA cOs 40° = 0Ng300 lbFB = 230.4 cos 40° = 176.50 lbEF, = 0 1 Ng + NA sin 40° – 500 = 0NB = -230.4 sin 40° + 500 = 351.9 lbNeFBD of Block C [Fig. (c)](c)EF, = 0 1 Nc – Ng – 300 = 0Nc = 351.9 + 300 = 651.9 lbEF, = 0 +> Fc – FB = 0Fc = FB = 176.50 lbCheckTo check the assumption of equilibrium, we must compare each of the frictionforces against its maximum static value.(FB)max = 0.4Ng = 0.4(351.9) = 140.76 lb < Fg = 176.50 lbAnswer(Fc)max = 0.4Nc = 0.4(651.9) = 260.8 lb > Fc = 176.50 lbWe conclude that the system cannot be in equilibrium. Although there is sufficientfriction beneath B, the friction force under C exceeds its limiting value.

Consider the given figure For equilibrium net moment on rod should be zero So, Consider moment on…

Can the system in Fig. (a) be in static equilibrium in the position shown? The uniform bar AB weighs 500 lb, and the weight of block C is 300 lb. Friction at A is negligible, and the coefficient of static friction is 0.4 at the other two contact surfaces. 10 ft Solution 30° Regause it ie not knoun uhether motion impende we identifu thie oe o Tvne I 50°

Can the system in Fig. (a) be in static equilibrium in the position shown? The uniform bar AB weighs 500 lb, and the weight of block C is 300 lb. Friction at A is negligible, and the coefficient of static friction is 0.4 at the other two contact surfaces. 10 ft Solution 30° Regause it ie not knoun uhether motion impende we identifu thie oe o Tvne I 50°

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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