Question Three a) A wire 3m long and 2mm in diameter when stretched by weight of 10kg has its length increased by 0.28mm. Find the stress, strain and Young Modulus of the material of the wire. (g = 9.81m/s²) b) A steel column is 3.5m long and 0.4m diameter. It carries a load of 50MN. Given that the modulus of elasticity is 200GPa, calculate the compressive stress and strain, and determine how much the column is compressed.

Question Three a) A wire 3m long and 2mm in diameter when stretched by weight of 10kg has its length increased by 0.28mm. Find the stress, strain and Young Modulus of the material of the wire. (g = 9.81m/s²) b) A steel column is 3.5m long and 0.4m diameter. It carries a load of 50MN. Given that the modulus of elasticity is 200GPa, calculate the compressive stress and strain, and determine how much the column is compressed.

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: A steel bar with length of 4.5 m is subjected to forces as shown in the figure: 1. Determine the…

Q: A torsion circular bar made of aluminum in Figure 1 is loaded by its weight and P kNm torsion (P =…

A: GivenT=P=10 kNm=10×103 Nmd1=0.5md2=0.3mγ=27 kN/m3=27 ×103×N/m3ν=0.3G=25GPA=25×109N/m2

Q: A picture is taken of a pole vaulter, and the minimum radius of curvature of the pole is estimated…

A: Solution.

Q: Consider the same truss again here as shown below. Suppose that the cross-sectional area of the…

A: Given Data Cross-sectional area of first element is : A1=200 mm2 Young's modulus is : E1=55…

Q: A steel (E = 200 GPa) rod ABC is applied by the axial load as shown in Figure Q2(c). The diameter of…

Q: D A 10kN 28kN + → 60KN 44KN + 120cm 80cm Ост 40cm Figure 1 a) Draw a Free Body Diagram for each…

Q: At a temperature of 15˚C, a steel bar just fits between two rigid supports. Its length is L = 5 m,…

Q: You are holding a thin and weightless bar on your head (see figure 2.1). On the extremity A, the bar…

A: Given:k=50 N/m

Q: Q2 Figure Q2 shows a shaft consists of Rods AB, BC and CD which made of Aluminium. Brass and Steel,…

Q: c) A solid homogeneous truss tie-rod has a diameter of 9.52 mm and an original length of 1.75 m…

A: Given Data The daimeter of truss tie rod is:d=9.52 mm The length is:l=1.75 m The stress experienced…

Q: Find the breaking point along the fishing rod assuming that the base of the rod is in a fixed…

A: Given: Diameters of the rods are: a = 9.93 mm b = 7.13 mm c = 5.1 mm Total length of the rod is 2 m.…

Q: A copper wire of length (400+R) cm , diameter of (4+R) mm and mass of (5000 + R) g, if Young's…

Q: Find the longitudinal strain Change in length=0.45 mm Initial length=1000 mm

A: Given data : Initial length=L Change in length=∆L To find : Strain

Q: A rectangular steel block is 3 inches long in the x direction, 2 inches long in the y direction, and…

Q: If a force of 300 kN is applied to the top of a circular steel bar with a diameter of 150mm and a…

A: Given: Now, Tensile force:

Q: Find the strain energy of a steel rod, of diameter 20 mm and length 400 mm, when it is subjected to…

A: Given:d=20 mmlength, l=400 mmP=40 KNE=200 GPa

Q: 4. The shear stress-strain diagram for screws used in plating is the standard technique for treating…

Q: A cylindrical bar of L meters deforms by I cm. The strain in bar is 1. t 2. 일 3. 0.011 4. 뿌

A: Given, Length of the cylinder = L meters Change in length of the cylinder = Deformation = l cm =…

Q: Question 1 D A 10kN 28kN + + 60kN 44kN + 120cm 80cm Ocm 40cm Figure 1 a) Draw a Free Body Diagram…

Q: A steel bar 250 mm long, 40 mm wide and 30 mm thick subjected to a pull of 200 kN in the direction…

A: Given data: The length of the steel bar is l=250 mm The width of the steel bar is w=40 mm The…

Q: 1. A rod consists of three bars of unequal diameters with their diameters and lengths are shown in…

A: Given data:For Rod 1:For Rod 2:For Rod 3:Modulus of elasticity = E = 200 GPa = 200,000 MPaTo…

Q: A steel rod is subjected to a gradually applied load (F) which gave a rise to a maximum stress of…

Q: given material has a modulus of elasticity E=250 GPa and shear modulus G= 83.5 GPa, what is the…

A: Given data :Modulus of elasticity or Young's modulus : Shear Modulus or modulus of rigidity : To…

Q: A rigid beam is supported by a pin at A and two metallic wires at B and C. Determine the force P…

Q: Find the longitudinal strain Change in length=0.45 mm Initial length=1000 mm

A: Given : change in length , δL = 0.45 mm initial length, L = 1000 mm To find : longitudinal strain…

Q: A steel bar with the dimensions and cross section shown is suspended vertically. Three concentric…

A: The change in length due to 22250 N force is ∆L1=PLAE=22250×1+0.65+0.356.5×10-4×210×109=3.26×10-4 m…

Q: A rigid beam is supported by a pin at A and two metallic wires at B and C. Determine the force P…

Q: A rigid rod AB is pinned at A and attached at B to cable BD supporting the loads shown in Figure 1.…

A: Given data: Yield tensile stress of cable, σ = 207 MPa. Diameter of pin D, d = 15 mm. Draw a…

Q: Prove that : 2 strain Energy= %3D 2GJ -x Volume 4G

A: Strain energy due to axial load PU=12P×δLSimilarlyStrain energy due to torsion TU=12×T×θ ......1Now…

Q: Same problem is considered here again using three equal length elements. Suppose that the Young's…

Q: А + 10kN 28kN 60kN 44kN 120cm 80cm Ocm 40cm Figure 1 a) Draw a Free Body Diagram for each section of…

A: Using lami's theorem TAsin1350=TCsin126.860=mgsin98.1300 TA=420.428 NTC=475.722 N Stress in each…

Q: A В 3 m Figure Q3(a)

A: (a) To plot the stress strain diagram for elastic-perfectly plastic material. (b) To find P = ?

Q: The diameter (d) of a solid rod (i.e., with a circular cross-section) is 16 mm and is made from a…

A: Given, Diameter of the rod , d= 16 mm Length of the rod , L =1.75 m Youngs modulus , E =250 GPa…

Q: The structure below is made from stock (same stock for A-B-C and B-D) that is 5 mm thick (into the…

A: Given: The structure is made up of stock (same stock for A-B-C and B-D). 5 mm thick. b mm wide.…

Q: Bars (1) are made of steel [E = 30,000 ksi], and bar (2) is made of an aluminum alloy [E = 10,000…

Concept explainers

Conduction and Convection

When energy travels from one object to another it is said to have undergone heat transfer. Heat transfer is nothing but the transfer of thermal energy or internal energy from one thing to another, like e.g., when a vessel with water, kept on top of a burner, heats up because of the flame underneath it.

Question

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

Step 2

Step 3

Step 4

Trending now

This is a popular solution!

Step by step

Solved in 4 steps

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

An axial load P is applied to a 150"-long continuous bar with the cross-sectional areas (4) shown in the figure below. The stress-strain relation of the material used to make this bar obtained during a tension test can be expressed as follows: P € = A = 1 in² -50"- O 16000 where o is the normal stress in ksi. a) Determine the axial elongation (in inches) and strain (in %) of the bar when P = 5 kips. b) Find the permanent elongation (in inches) and strain (in %) of the bar after removal of P in a). + (165)³ A = ¹in² 100"- P Note: You can assume that the elastic modulus (E) of material of the bar is equal, at all times, to the slope of the stress-strain curve at the origin.
1. The stress-strain diagram for a bar of steel alloy is shown. Determine: a) The modulus of Elasticity for the material b) The proportional limit c) The ultimate stress d) The modulus of resilience e) If the bar has a circular cross section with an initial diameter of 10-mm and is loaded to 260-Mpa, what will be the decrease in diameter under this load? Use v= 0.25 (MPa) Show complete solution.
A solid circular rod 200 mm long and 20 mm in diameter has an axial force of P. are exposed. P force and elongation of the rod when this force is applied is below the elasticity of the material, taking as the values given opposite your names in the table presented Calculate the modulus E and the shear modulus G. Take the Poisson's ratio () 0.3. P (N) δ(mm) :500 1,6
A) A circular rod with a gage length of 3.6 mm and a diameter of 2.3 cm is subjected to an axial load of 51 kN . If the modulus of elasticity is 200 GPa , what is the change in length? B)A circular rod with a length of 4 mm and a diameter of 2.4 cm is subjected to an axial load of 61 kN . If the resulting change in length is 3.34 mm , what is the modulus of elasticity? C)A circular rod with a length of 3.7 mm and a diameter of 2.7 cm is subjected to an axial load and increases in length by 3.26 mm . The initial portion of the stress-strain curve of the material is given. What is the applied load?
a) Calculate the principal strains, given that the state of plane strain for an element is: E = 25microns E, = 100microns Yy =-45microns b) An axial load of 3 kN is applied to the solid tubular member as shown in Figure 1. The length of the tube is 2.5 metres, the radius is 15 mm. The modulus of elasticity is 200 GPa. Calculate the elongation due to the loading, giving the answer in microns. Length of tube: 2.5m 8 Load: 3 kN Radius of tube: 15mm Figure 1
Question 2 Consider the bar in figure 2, it has cross sectional area A 1.10-4m², modulus of elasticity E = = 200GPa, and length 1.5 m. The bar is fixed to a wall on its left hand side, and has a constant loading of 1(x) = −10 kN/m applied along its length. x=0.0 |(x) = -10 kN/m 1.5 m X x=1.5 Figure 2: diagram of bar subject to applied force along its length a) The displacement of the bar u(x) is governed by the equation ə du(x) AE dx dx +1(x) 0 x = [0, 1.5], state the two boundary conditions for this bar problem, and give a short reasoning for your answer (maximum 2 sentences for each boundary condition).
A single ply of a certain graphite-epoxy composite with fiber oriented at 60° is in a planer state of stress. The strains in the xy coordinates are {e} = {0.012 0.002 0.0013. Find out if the lamina will fail according to maximum stress theory. The [Q] matrix for the lamina is [Q] = 120 3 0 3 10 0 0 07 Allowable stresses are OLU- 1950 MPa. OT-50 MPa, o'LU-1400 MPa, O TU 200 MPa TLTU=90 MPa.
2. A core made of stainless steel (material 1, E, = 28 Msi) is fully bonded to an inner shell of brass (material 2, E, = 15 Msi), which is fully bonded to an outer shell of aluminum (material 3, Ea = 10 Msi). The rod is subjected to a compressive load, P = 50 kips. Determine: a) the normal stress in the brass and b) the deflection of the composite rod. Dimensions: L = 10 in, dı = 1 in, d2 = 2 in, d3 = 3 in. Recall that Msi =10° psi. Ans: ob = 7.76 ksi (C), ô = 5.176 x 10-³ in (shorter) 3 2 1 d, d d, - P
Figure 2 shows a bar with a length L fixed at the left end. Question 2 The uniformly distributed force f (unit: N/m) is applied along the axis of the bar, and a concentrated force P (unit: N) is applied at the free end of the bar. The bar has a constant Young's modulus E and cross-section area A. Find the stretch of the bar: (a). at the free end of the bar; (b). at the center of the bar. (Expressing all the resulta with E, A, L, f, and P). E, A L Fig. 2. The kft end of the bar is fd, ad the froe ed of the bar is applied with a force P. The uniformly distribatod kece f is applied akong the ais of the bar.