P-30 kNQ1/ Two solid cylindrical rods are joined at B and loaded as shown. Rod AB ismade of steel (E-200 GPa) and rod BC of brass (E =105 GPa). Determine (a) the-30 min250 antotal deformation of the composite rod ABC, (b) the deflection of point B.40 kN300 n-50mil

Answered: Image /qna-images/answer/b284cbfe-6604-4b8b-b1e3-98ade3ba5ea5.jpg

P-30 IN Q1/ Two solid cylindrical rods are joined at B and loaded as shown. Rod AB is made of steel (E=200 GPa) and rod BC of brass (E =105 GPa). Determine (a) the 250 total deformation of the composite rod ABC, (b) the deflection of point B. 40 kN 300 m -50 mm

P-30 IN Q1/ Two solid cylindrical rods are joined at B and loaded as shown. Rod AB is made of steel (E=200 GPa) and rod BC of brass (E =105 GPa). Determine (a) the 250 total deformation of the composite rod ABC, (b) the deflection of point B. 40 kN 300 m -50 mm

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter8: Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings)

Section: Chapter Questions

Problem 8.5.30P: A mountain bike rider going uphill applies a force P = 65 N to each end of the handlebars AB CD,...

See similar textbooks

Related questions

Q: 2- Determine the total deformation between points A and D of a stepped steel bar subjected to the…

Q: Determine the downward displacement δ of the lower end of the copper bar with respect to the base…

A: Find deflection of lower point of copper and maximum force

Q: n the figure shown, the cutaway view shows a solid aluminum alloy of L= 600mm, A= 707mm^2 and E=…

Q: In the figure shown, each of the four vertical links connecting the two rigid horizontal members is…

Q: Rigid bar ABC is supported by bronze rod (1) and aluminum rod (2), as shown. A concentrated load P…

Q: 1. A vertical column with pinned ends is subjected to an end load P. The column has a radius of…

A: Given that, Radius of gyration of column, k=150 mm,Cross-section area, A=0.02 m2Modulus of…

Q: Load and shape of the below knee prostheses can be modelled as two cylindrical members. Determine…

Q: Determine the total elongation of the bar shown in figure below. Materials E (GPa) Bronze 83…

Q: The rod ABCD is made of an aluminum for which E= 70 GPa. Take P= 90 kN. NOTE: This is a multi-part…

A: Given:E=70 GPaP=90 kN

Q: A circular rod of hot-rolled 4340 steel (4340-HR steel - 4mm diameter, 1.35m long) is subjected to a…

A: Given Data:- 4340 Steel Diameter=4mm Length=1.35m Modulus of Elasticity=207Gpa Yield-Strength…

Q: The push rods on the suspension of the Pitt Formula SAE race car are Chome-moly steel (E = 29,000…

A: The elastic modulus is .The yield stress is .The length of rod is .The outside diameter is .The wall…

Q: A tensile load of 190 kN is applied to a round metal bar with a diameter of 16 mm and a gage length…

Q: Solid rod AB is made of steel with G = 80 GN/m2 connected to a BC rod made of hollow aluminum with G…

A: Consider the diagram as shown below for the given shaft system.

Q: Axial loads are applied with rigid bearing plates to the solid cylindrical rods shown. The normal…

Q: 2.) Calculate the torsion constant for the following open and closed sections, which all have a…

Q: Each of the rods BD and CE is made of brass (E= 105 GPa) and has a cross-s area of 200 mm2.…

Q: A composite axial structure consists of two rods joined at flange B. Rods (1) and (2) are attached…

A: Find the force and stresses each members and deflection of point B A1=780mm^2 A2=1100mm^2 E1=40Gpa…

Q: Required information Two solid steel shafts (G= 77.2 GPa) are connected to a coupling disk B and to…

A: if you have any doubts please comment

Q: A hollow circular column of 200 mm external and 160 mm internal diameter is subject to an axial…

A: given data; external diameter(d1)=200mminternal diameter(d2)=160mmcompressive load…

Concept explainers

Buckling of columns

The column is described as a vertical member of the structure that carries an axial compressive load, and buckling is a lateral deformation of the column under the application of load.

Question

P-30 kN
Q1/ Two solid cylindrical rods are joined at B and loaded as shown. Rod AB is
made of steel (E-200 GPa) and rod BC of brass (E =105 GPa). Determine (a) the
-30 min
250 an
total deformation of the composite rod ABC, (b) the deflection of point B.
40 kN
300 n
-50mil

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

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 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

Required information The rod ABCD is made of an aluminum for which E=70 GPa. Take P= 90 kN. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. A 1.75 m Area = 800 mm2 P B 1.25 m Area = 500 mm? 75 kN 1.5 m D 50 kN For the loading shown, determine the deformation of point B. The deformation of point B is mm Į.
The horizontal bar ABC is supported by a pin at A and two rods with identical cross-sectional areas. The rod at B is steel and rod at C is aluminum. Use P = 45 kN, E for steel = 200 Gpa and aluminum = 70 Gpa, m = 1.00 m, n = 0.50 m Steel Aluminum A m m – P. A. Determine the deformation (in mm) of the steel rod B. Determine the deformation (in mm) of the aluminum rod C. Determine the vertical movement (in mm) of force P 4 decimal places
Three steel rods (E = 200 GPa) supports a 50 kNload P. Each of the rods AB and CD has a 300 mm2cross-sectional area and rod EF has a 600 mm2cross-sectional area.(a) State whether the structure isstatically determinate or indeterminate.Why?(b)Determine the force and thestress in each rod.(c) Determine the deformation of each rod.Note: The link BED is rigid, and BE = ED.
1- Calculate the axial deformation of point C and D? (D=36mm) A steel E-200G pa 50IN Bras E= 105 Gpa 2.5M XI
The member consists of the steel rod AB that is screwed into the end of the bronze rod Find the largest value of P that meets the following design criteria: (a) the overall length of the member is not to change by more than 3 mm; and (b) the stresses are not to exceed 140 MPa in steel and 120 MPa in bronze. The moduli of elasticity are 200 GPa for steel and 80 GPa for bronze.
The W250x22 cantilevered beam is made of A-36 steel and is subjected to the loading shown below. Suppose that P1-40kN and P2-12 kN. B P₁ 2 m- B A -2 m- a) Determine the displacement at B. Express answer to three significant figures and include appropriate units. Positive value if the deflection is upward and the negative value is if the deflection is downward. b) Determine the slope at B Express answer in radians to three significant figures. Positive value if the slope is counterclockwise and the negative value if the slope is clockwise.
A hydraulic cylinder with a bore radius of 100 mm and an outer radius of 200 mm has been designed to withstand a maximum internal pressure of 200 MPa in service. During operation, the pressure within the cylinder is retained by a freely sliding piston. The steel used in the manufacture has Young's modulus of 210 GNm-². Note: There is no axial stress generated in the cylinder wall in this application. 1. Elastic Stress Distributions in a Single Cylinder a) At an operating pressure of 200 MPa, calculate using Lame's equations the radial and circumferential stresses at the cylinder bore and the outer surface. b) For the same operating pressure, calculate the maximum shear stress values at the cylinder bore and the outer surface. Hint: For axisymmetric problems, there are no shear stresses generated on the faces of a radial element in the cylinder wall. Therefore, der, and oz are (also) the Principal stresses. (Please refer to Stress Transformation). c) Verify the values of the maximum…
Required information Members AB and BE of the truss shown consist of 25-mm-diameter steel rods (E= 200 GPa). It is given that P= 69 kN. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. | 150 kN A B 0.9 m D 1.2 m 2 m Determine the elongation of rod BE. The elongation of rod BE is mm
Engineering of materials need help
A cylindrical hollow shaft shown is subjected to a compressive load acting though its longitudinal axis. The outer diameter of the tube is 30 mm and the inner diameteris 25 mm. The tube is made of brass, and it has Young's Modulus E = 105 GPa and yieldstrength oys = 135 MPa.(a)Using Euler's formula, determine the critical buckling load (or maximum allowable compressive load) when the length of the tube is L = 2 m and it is pin-jointed at both ends.(b)Using Euler's formula, determine the critical buckling load (or maximum allowable compressive load) when the length of the tube is L = 2m and it is fixed at one end and pinned at another.(c)Verify the validity of Euler's formula in case (a).Assuming the tube is pin-jointed at both ends, calculate the minimum length of the tube below which Euler's formula is no longer valid.
A bronze bar is fastened between a steel bar and an aluminum bar.Axial loads are applied at the positions indicated and P = 30 kN.Find the total deformation on the composite bar. Assume that theassembly is suitably braced to prevent buckling.Use Est = 200 GPa, Eal = 70 GPa, and Ebr = 83 GPaAnswers: δtotal ___________________
HELP PLZ ASAP