area A2) iS Tixed a and free at end C (see figure). The modu honprismatic bar ABC made up of segments AB (length L1, cross-sectional area Aı) and BC (length L2, Cro elasticity of the bar is E. A small gap of dimension s exists between the end of the bar and an elastic spring of length L3 and spring constant k3. If bar ABC only (not the spring) is subjected te mperature increase AT determine the following. Temperature expansion coefficient is denoted as a. t end RA α, ΔΤ Rp A LEA LĻEA, C Laka B Write an expression for reaction force RA if the elongation of ABC exceeds gap length s. Write an expression for reaction force Rp if the elongation of ABC exceeds gap length s. Find an expression for the displacement of point B if the elongation of ABC exceeds gap length s. Find an expression for the displacement of point C if the elongation of ABC exceeds gap length s.

area A2) iS Tixed a and free at end C (see figure). The modu honprismatic bar ABC made up of segments AB (length L1, cross-sectional area Aı) and BC (length L2, Cro elasticity of the bar is E. A small gap of dimension s exists between the end of the bar and an elastic spring of length L3 and spring constant k3. If bar ABC only (not the spring) is subjected te mperature increase AT determine the following. Temperature expansion coefficient is denoted as a. t end RA α, ΔΤ Rp A LEA LĻEA, C Laka B Write an expression for reaction force RA if the elongation of ABC exceeds gap length s. Write an expression for reaction force Rp if the elongation of ABC exceeds gap length s. Find an expression for the displacement of point B if the elongation of ABC exceeds gap length s. Find an expression for the displacement of point C if the elongation of ABC exceeds gap length s.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: The pin-connected structure consists of a rigid bar ABCD and two axial members. Bar (1) is bronze [E…

A: Given data in question Load 88 kN Area 520 and 280 mm2 Elasticity modulus 110 and 67 GPa To find…

Q: The slender bar AB weighs 50 lb and moves in the vertical plane. The bar was initially held at rest…

Q: An aluminum alloy pipe AB [EAB = 12,000 ksi] with a cross-sectional area of AAB = 6.40 in.2 is…

A: To determine the normal stress in pipes AB and BC. Given, Modulus of elasticity of aluminum, EAB =…

Q: 3. Determine the force in each bar of the truss shown in the figure in terms of P. 30 60° 30° 45 45°

Q: The truss is subjected to the system of forces as shown in the following figure. The truss is…

A: Given p1=p2=4 KN degree of static inderminancy Ds=Dse+Dsi where Dse=degree of external…

Q: The rigid bar AC is supported by two axial bars (1) and (2). Both axial bars are made of bronze [E =…

A: Given: E=100 GPaα=18×10-6∆T=38°CTotal strain in bar 2=1240μ ε

Q: The brass bar AB and aluminum bar BC are joined at the collar B and fixed at their ends A and C. For…

A: A composite beam with a brass section and an aluminum section is given.Modulus of elasticityThermal…

Q: A pin-connected structure is supported as shown in the figure. Bar (1) is made of brass [E = 105…

Q: All bars in the truss have the same cross section and material properties. Find the total change in…

A: Cross sectional area, Modulus of elasticity, To find: (a) Change in length of the cord…

Q: Cylinder of height 2H. radius R. centroid at (0,0.H), axis e3 undergoes deformation x = o(z) = z +…

Q: The rope ABexerts a 46 - N force T on the collar at A Let rCA be the position vector from point C to…

Q: Part 2 * Your answer is incorrect. The z-component of momemt M will cause compression at A and B,…

Q: The two vertical steel [E = 200 GPa] rods that support rigid bar ABCD are initially free of stress.…

Concept explainers

Bars

In civil engineering, bars refer to steel reinforcement bars or rebars. These are structural members primarily used for reinforcement purposes in masonry works. A bar is characterized by its cross-sectional area, which is negligible compared to its length. Bars are usually manufactured by steel which is uniform throughout the length, or by meshing multiple steel wires. Other materials of the bar include carbon steel, glass fiber, carbon fiber, and basalt fiber. The reinforcing bars are coated with epoxy resins and other materials to enhance some of their properties including corrosion resistance.

Question

A nonprismatic bar ABC made up of segments AB (length Li , cross-sectional area A1) and BC (length L2, cross-sectional area A2) is fixed at end A and free at end C (see figure). The modulus
of elasticity of the bar is E. A small gap of dimension s exists between the end of the bar and an elastic spring of length L3 and spring constant k3. If bar ABC only (not the spring) is subjected to
temperature increase AT determine the following. Temperature expansion coefficient is denoted as a.
RA
α, ΔΤ
Rp
A
LEA2 C
L3ks
LEA
B
(a) Write an expression for reaction force RA if the elongation of ABC exceeds gap length s.
(b) Write an expression for reaction force Rp if the elongation of ABC exceeds gap length s.
(C) Find an expression for the displacement of point B if the elongation of ABC exceeds gap length s.
(d) Find an expression for the displacement of point C if the elongation of ABC exceeds gap length s.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1 Solution:-

Step 2 Solution:-

Step 3 Solution:-

Step 4 Solution:-

Step 5 Answer:-

Step by step

Solved in 5 steps with 13 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

The pin-connected structure consists of a rigid bar ABCD and two axial members. Bar (1) is bronze [E = 92 GPa] with a cross-sectional area of A₁ = 680 mm². Bar (2) is an aluminum alloy [E = 74 GPa] with a cross-sectional area of A₂ = 350 mm². A concentrated load of P = 56 kN acts on the structure at D. Assume L₁=900 mm., L2=600 mm., a=580 mm., b=310 mm., and c=1160 mm. Determine: (a) the normal stresses 01, 02 in both bars (1) and (2). (b) the downward deflection vp of point D on the rigid bar. b Answers: (a) o₁ = (b) VD= i i L₁ L2 (2) B C MPa, 0₂ = mm. i D MPa
The two vertical steel [E = 200 GPa] rods that support rigid bar ABCD are initially free of stress. Rod (1) has an area of A1 = 410 mm2 and a length of L1 = 3.2 m. Rod (2) has an area of A2 = 355 mm2 and a length of L2 = 1.3 m. Assume dimensions of a = 3.4 m, b = 1.2 m, and c = 1.5 m. After a load of P = 50 kN is applied to the rigid bar at D, determine: (a) the normal stresses in rods (1) and (2) (b) the magnitude of the downward deflection of the rigid bar at D. y,v (2) L2 a B C D x,u Rigid bar |(1) Answer: (a) o1 = i MPa 02 = i MPa (b) VD = i mm
10. The rigid bar below is supported by axial bar (1) and by a pin connection at C. Axial bar (1) has a cross-sectional area of A₁ = 275 mm², an elastic modulus of E = 200 GPa, and a coefficient of thermal expansion of a = 11.9x 106/°C. The pin at C has a diameter of 30 mm. After load P has been applied and the temperature of the entire assembly has been increased by 31°C, the total strain in bar (1) is measured as 975 μe (elongation). Determine: (a) the magnitude of load P. (b) the shear stress in pin C. 275 mm Connection detail (1) Rigid bar 540 mm 135 mm 260 mm
Both portions of the rod ABC are made of an aluminum for which E = 70 GPa. 0.4 m 0.5 m B 20-mm diameter 60-mm diameter 1. Determine the deformation at segment AB in millimeter if P = 58 kN and Q = 0.