A solid circular composite bar (made of aluminum in segment AB, steel in segment BC and Brass in Segment CD) is fixed to two rigid walls without any initial internal stresses. If two axial loads FB= 200 kN and Fc=100 kN are applied to the bar at locations B and C, respectively, as shown in the figure, determine the normal stress developed in the axial direction of each segment of the bar. Note: the length (L), cross sectional area (A) and Young's modulus (E) of the three segments are

A solid circular composite bar (made of aluminum in segment AB, steel in segment BC and Brass in Segment CD) is fixed to two rigid walls without any initial internal stresses. If two axial loads FB= 200 kN and Fc=100 kN are applied to the bar at locations B and C, respectively, as shown in the figure, determine the normal stress developed in the axial direction of each segment of the bar. Note: the length (L), cross sectional area (A) and Young's modulus (E) of the three segments are

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: Links (1) and (2) support rigid bar ABCD shown in the figure. Link (1) is bronze [E = 15,200 ksi]…

Q: Q1) (A) Two solid circular cross-section bar as shown in the Figure. If the stress in left portion…

A: Given figure A)given data left portion = 150 MN/m² total elongation of the bar = 0.2mm. Young's…

Q: The three-member frame has original dimensions as shown in the figure. Elements F-D-B and A-B-E are…

A: givenElement FDB and ABE are rigid. so axial and flexure deeflection is zero.Area of CD…

Q: The steel tie-bar shown in the figure has been designed to carry a tension force of 103 kN when…

A: The maximum bearing stress at A: 110.0 MPa.

Q: 100 kN Stiff loading plate 10 cm 10 cm 10 cm 25 cm E= 200 GPa E = 200 GPa E= 70 GPa

Q: The rigid beam BC shown in the figure is supported by rods (1) and (2) that have cross-sectional…

A: Given:A1=175 mm2A2=300 mm2w=16 KN/mL=2.8 ma=1.7 m

Concept explainers

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

Question

Problem B-1 [Statically Indeterminant Problem – Axial Loading]
A solid circular composite bar (made of
aluminum in segment AB, steel in segment BC
and Brass in Segment CD) is fixed to two rigid
walls without any initial internal stresses. If two
axial loads FB = 200 kN and Fc=100 kN are
applied to the bar at locations B and C,
respectively, as shown in the figure, determine
the normal stress developed in the axial
direction of each segment of the bar.
C
A
В
Aluminum
Steel
Brass
FB= 200 kN
Fc=100 kN
LẠI = 250 mm
AA= 400 mm²
EA = 60 GPa
Ls = 200 mm
Ast = 600 mm²
Est = 200 GPa
LBr = 200 mm
Авг 2000 mm?
EBr = 80 GPa
Note: the length (L), cross sectional area (A) and
Young's modulus (E) of the three segments are
given in the figure, respectively.
Upload
Choose a File

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 3 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, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

A rectangular bar having width w = 6.50 in. and thickness t = 1.25 in. is subjected to a tension load P, as shown in the figure. The %3D magnitudes of the normal and shear stresses on plane AB must not exceed 16 ksi and 7 ksi, respectively. Determine the maximum load P that can be applied without exceeding either stress limit. Assume a = 3 and b = 4. A P a b B Answer: P = i kips %3D
(1) In the figure below, the cross section areas of rods AB and BC are A1, A2, and the Young's moduli are E1 and E2, respectively. For loads P1 and P2 applied as shown in the figure, (a) determine the normal stresses in rods AB and BC; (b) determine the deformation at C. D L1/2 A B C P1 P2 Li L2 A1, E1 A2, E2
2. A compressed bar having a square cross of width b must support a load P = 37kN. The two parts of the bar are connected by a glued joint along plane p-q, which is at an angle a = 40° to the vertical. The bar is constructed of a structural plastic for which the allowable stresses in compression and shear are 7.6 MPa and 4.1 MPa, respectively. In addition, the allowable stresses in the glued joint are 5.2 MPa in compression and 3.4 MPa in shear. 9 b Determine: a) compressive stress (MPa) in the glued joint b) shear stress (MPa) in the glued joint c) compressive stress (MPa) in the plastic bar d) max. shear stress (MPa) in the plastic bar e) the minimum width b (cm) of the bar based on shear in the glued joint as the failure mode ~2~
provide a clear and detailed answer
The figure shown below
14. A prismatic bar having cross-sectional area A=1200 mm² is compressed by an axial load P = 90kN (see figure (a)). (1) Determine the stresses acting on an inclined section p-q cut through the bar at an angle = 25°. (2) Determine the complete state of stress for 0=25° and show the stresses on a properly oriented stress element. -x P x1 0=25° P=90 kN x 9
I am struggling with this question
I am struggling with this question
A horizontal load P is applied to an assembly consisting of two inclined bars, as shown in the figure. The cross-sectional area of bar (1) is 1.30 in.2, and the cross-sectional area of bar (2) is 1.75 in.2. The normal stress in either bar may not exceed 24 ksi. Determine the maximum load P that may be applied to this assembly. Assume dimensions of a=14.5 ft, b=9.0 ft, and c=14.5 ft. Determine the allowable force F1 in member (1) and the allowable force F2 in member (2).
Determined the maximum normal stress experience by the entire axial member and determine the section, which maximum stress occurs(ie AB or BC or CD)
Axial loads are applied with rigid bearing plates to the solid cylindrical rods shown in the figure. One load of P=33P=33 kipskips is applied to the assembly at A, two loads of Q=30Q=30 kipskips are applied at B, and two loads of R=35R=35 kipskips are applied at C. The normal stress magnitude in aluminum rod (1) must be limited to 1717 ksiksi. The normal stress magnitude in steel rod (2) must be limited to 3030 ksiksi. The normal stress magnitude in brass rod (3) must be limited to 2121 ksiksi. Determine the minimum diameter required for each of the three rods.
The pins at B and D in the figure apply an axial load to diagonal bracing member BD. If BD has a rectangular cross-section measuring 0.50 in. X 2.00 in., what is the axial stress in member BD when the load is w0=220 lb/ft?