6. A 2-bar truss is as follows. AB= 4 m, BC=5 m, AC=3 m. The blackblock on C is a friction plate. When the friction coefficient is greaterthan u, the truss is stable. Determine the value of μ.APBHint: First, determine the internal force of AB and BC bar by Jointmethod at Joint B,Second determine Cx, Cy by Joint method at Joint C;then determine the value of µ.

Answered: Image /qna-images/answer/e2a8c765-499a-49a0-b8ec-8faa65cc935c.jpg

6. A 2-bar truss is as follows. AB= 4 m, BC=5 m, AC=3 m. The black block on C is a friction plate. When the friction coefficient is greater than µ, the truss is stable. Determine the value of u. A P B Hint: First, determine the internal force of AB and BC bar by Joint method at Joint B, Second determine Cx, Cy by Joint method at Joint C; then determine the value of µ.

6. A 2-bar truss is as follows. AB= 4 m, BC=5 m, AC=3 m. The black block on C is a friction plate. When the friction coefficient is greater than µ, the truss is stable. Determine the value of u. A P B Hint: First, determine the internal force of AB and BC bar by Joint method at Joint B, Second determine Cx, Cy by Joint method at Joint C; then determine the value of µ.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

The rigid bar AB of negligible weight is supported by a pin at O. When the two steel rods are attached to the ends of the bar, there is a gap A = 4 mm between the lower end of the left rod and its pin support at C. %3D Compute the stress in the left rod after its lower end is attached to the support. The cross-sectional areas are 300 mm2 for rod AC and 250 mm? for rod BD. Use E = 200 GPa for steel. A В 0.75 m 1.5 m > 2 m D
3. The rigid bar ABCD of negligible weight is initially horizontal, and the steel rods attached at A and C are stress free. 26 kips load is then applied and the temperature of the steel rods is changed by AT. Find AT for which the stresses in two steel rods will be equal. Use a = 6.5 x 10-6/°F and E = 29 x 106psi for steel. A = 0.6 sq. in 3 ft 5 ft 5 ft A C 3 ft 4 ft V 26 kips A = 0.8 sq. in B
The cross-sectional dimensions of a beam are shown. Assume b-2.5 in., t-tw-0.25 in. and d=4.25 in. (a) If the bending stress at point K is 2560 psi (T), determine the internal bending moment M₂ acting about the z centroidal axis of the beam. (b) Determine the bending stress o H K Answers: (a) M₂ = (b) σH = bf i i tw at point H (positive if tension, negative if compression). lb-ft. psi.
The steel bars AC and BC, each of cross-sectional area 120 mm^2, are joined at C with a pin. Determine the displacement of point C caused by the 15-kN load. Use E=200 GPa for steel. Include the ff:force on bar ABforce on bar BCwhat is the displacement of point C
A rigid bar AB is hinged at A and is supported by a rod CD at C. The rod is pin connected at D, as shown. Neglect deflections of the bar due to bending. Use E=200 GPa. Determine the tensile stress induced in rod CD by the load.
At a temperature of 53°F, a 0.1 in. gap exists between the ends of the two bars shown. Bar (1) is an aluminum alloy [a= 12.7 x 10-6/°F] and bar (2) is stainless steel [a= 10.4 x 10-6/°F]. The supports at A and C are rigid. Determine the lowest temperature at which the two bars contact each other. Assume L₁ = 40 in., L₂ = 57 in. (1) B A L₁ Answer: Final temperature = i bo L2 °F.
Rigid bar ABCD is loaded and supported as shown. Steel [E = 27800 ksi] bars (1) and (2) are unstressed before the load P is applied. Bar (1) has a cross-sectional area of 0.63 in.2 and bar (2) has a cross-sectional area of 0.39 in.2. After load P is applied, the strain in bar (1) is found to be 720 με. Assume L1=56 in., L2=89 in., a=30 in., b=37 in., and c=33 in. Determine: (a) the stresses in bars (1) and (2). (b) the vertical deflection vD of point D on the rigid bar. (c) the load P.
The beam below is subjected to a linearly distributed load, as shown infigure. This beam is supported by two wide supports BC and DE, which exert a uniformly distributeduniformly distributed force. Determine:(a) The value of WA such that WBC = WDE.(b) The values of WBC and WDE for (a)
Rigid bar ABCD is loaded and supported as shown. Steel [E = 29900 ksi] bars (1) and (2) are unstressed before the load P is applied. Bar (1) has a cross-sectional area of 0.73 in.² and bar (2) has a cross-sectional area of 0.47 in.². After load P is applied, the strain in bar (1) is found to be 800 με. Assume L₁-52 in., L₂=90 in., a-36 in., b-34 in., and c-23 in. Determine: (a) the stresses in bars (1) and (2). (b) the vertical deflection vp of point D on the rigid bar. (c) the load P. (2) (1) L₁ B C a Answers: (a) σ₁ = (b) VD = (c) P = i i L2 b C ksi, 0₂ = i in. kips. D P ksi.
The bars AB, CD and EF made of material with E=180 GPa and have a cross sectional area of 678 mm2. The beam ACE is subjected to the force P=163 N. Take L=1.6 m and d=519 mm. Answer the following questions The force in the barAB The force in the barCD The force in the barEF The stress in the bar AB The stress in the barEF The stress in the barCD The elongtion in the bar AB The elongtion in the bar EF
Linear Systems and Design Decisions Consider the structure in Figure 1. We will study the forces in the bars of this structure for various r. Develop the equations of static equilibrium and write them in matrix form. Take F2 N. The stiffness matrix A should be in terms of 2. Hint: The supporting structure at E is a pin and at D is a roller, the load on A is F and on B is. The length of member ED is 1m and of AD is 2m, variable z represents the length of member BD and CE. E in D 2m
Situation 4: The bar ABC consists of 2 cylindrical segments with different lengths and cross-sectional areas. Axial loads are applied as shown. Calculate the normal stress (ksi) in segment AB if the cross-sectional area of segment AB is 4.7 in². Use P₁ = 11 kips P₂ = 6 kips P₁ B C P₂ Consider the sign in your final answer. Use the sign convention (+) for tension and (-) for compression.