Evaluate stress induced in rod, Mechanical Engineering

Assignment Help:

Evaluate stress induced in rod:

The two copper rods and one steel rod lie in vertical plane and support load of 50kN together as shown in figure given below. Each rod is 25 mm in diameter, the length of steel rod is 3 m and the length of each copper rod is 2m. If modulus of elasticity of steel is double that of copper, make calculations for stress induced in each rod. It can be presumed that each rod deforms by same amount.
Sol.:
Each rod deforms by same amount and accordingly that is,

910_Evaluate stress induced in rod.png 
2028_Evaluate stress induced in rod1.png 
Division of load between steel and copper rods is given below:
total load = load carried by steel rod + rod carried by two copper rods
1274_Evaluate stress induced in rod2.png

  σC  = (50 × 103)/1633.78 = 30.60 N/mm2     .......ANS
σ
S  = 1.33   C  =1.33 × 30.60 = 40.7 N/mm2

  

Related Discussions:- Evaluate stress induced in rod

Backup purge, Backup Purge Backup purge gas can also be used to prot...

Backup Purge Backup purge gas can also be used to protect the under side of the weld and its adjacent base metal surfaces from oxidation on the time of welding . Uniformity

Determine moment of the force about the origin, (a) What do you understand ...

(a) What do you understand by couple moment. Is it a free vector ? (b) A force F = 10i + 6j - 6k N performs at a position (10, 3, 4) m relative to a coordinates system. Determin

Calculate the vertices for a translated triangle, A triangle PQR with verti...

A triangle PQR with vertices P(2,1), Q(4,4) , R(1,3) is to be translated by 2 units in x - direction and 4 units in y direction. Using the homogenous coordinate system, calculate t

Lami theorem - mechanics, Explain lami's theorem: Sol.: Lami's theore...

Explain lami's theorem: Sol.: Lami's theorem states that "If the three coplanar forces which are acting at a point be in equilibrium, then every force is proportional to sin

Batteries and alternative sources of energy, Illustrate six typical applica...

Illustrate six typical application of primary cells. (b) Illustrate six typical applications of secondary cells. (c) Illustrate the advantages of a fuel cell over a conventional

Truss, how can we modified truss to make sure it can support 20% more force...

how can we modified truss to make sure it can support 20% more forces than usual?

Equation for principal stresses and principal planes, Equation for principa...

Equation for principal stresses and principal planes: Derive equation for principal stresses and principal planes for the element subjected to compound stresses. Sol.:

Wave, What is wave? How many type of the waves?

What is wave? How many type of the waves?

Explain about the collapsible soils and subsidence, Collapsible Soils and S...

Collapsible Soils and Subsidence There are soils which are quite stable when dry and they show large volume changes on wetting under load. Examples of  these soils are loess (w

Compute the centroidal moment of inertia, Compute the centroidal moment of ...

Compute the centroidal moment of inertia: Compute the centroidal moment of inertia of a thin homogeneous bar AB of length l and having a mass of m kg Solution The mass

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd