9. A solid circular rod that is 600 mm long and 20 mm in diameter is subjected to an axial force of P=50 kN. The elongation of the rod is 8=1.40 mm, and its diameter becomes d'=19.9837 mm. Determine the modulus of elasticity and the modulus of rigidity of the material. Assume that the material does not yield P = 50 kN 600 mm 20 mm P = 50 kN

9. A solid circular rod that is 600 mm long and 20 mm in diameter is subjected to an axial force of P=50 kN. The elongation of the rod is 8=1.40 mm, and its diameter becomes d'=19.9837 mm. Determine the modulus of elasticity and the modulus of rigidity of the material. Assume that the material does not yield P = 50 kN 600 mm 20 mm P = 50 kN

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: Let's consider a rod subjected to the shown axial forces. If we consider a linear elastic behavior,…

Q: The pin-connected assembly consists of aluminum rods (1) and (2) and steel rod (3). The aluminum…

Q: For a given homogeneous, isotropic, linearly elastic material, E = 15e6 psi and v=0.3. Solve for the…

A: This question is based on the relation of shear modulus and Young's modulus.

Q: 8. A steel bar of 40mm x 40mm square cross-section is subjected to an axial compressive load of…

A: Answer: The elongation of the bar will be ◆ When 30mm × 30mm square section : 2.22 mm. ◆ When 40mm…

Q: Determine of the internal resistance force of each segment of the bar shown below, and the total…

A: Find the total elongation and force in each segment.

Q: A cylindrical bar of steel 10.4 mm (0.4094 in.) in diameter is to be deformed elastically by…

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

Q: Two hard rubber blocks [G = 367 kPa] are used in an antivibration mount to support a small machine,…

A: Given Data LOad =948 N a=20 mm b=50 mm c=80 mm Two shearing surface SHear area =2bc=2(20)(50)=2000

Q: If an isotropic material has a shear modulus of 11 Gpa and a Poisson's ratio of 0.34, calculate its…

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

A: I have attached my work below, correct option is option Cplease don't forget to upvote, thanks!!

Q: Knowing that the central portion of the BD bar has a uniform cross-sectional area of 800 mm^2…

A: for the solution refer below images.

Q: Let's consider a rod having a solid circular cross-section with diameter of 5 mm and it is made of a…

Q: A transmission shaft consists of two parts: 2 m long and 50 mm diameter aluminum shaft is to be…

A: Given data for the steel shaft.

Q: A solid circular rod 200 mm long and 20 mm in diameter has an axial force of P. are exposed. P = 300…

A: Given data: Length of the circular rod, L = 200 mm. The diameter of the rod, d = 20 mm. The…

Q: the contraction of the bar

A: Given ; A steel bar of; ⇒ 40mm2×40mm2cross-section is subjected to an axial compressive load,…

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

Q: At the proportional limit, a 20-mm-thick x 75-mm-wide bar elongates 7.1 mm under an axial load of…

A: Given Data- Area A=20mm*75mm Change in length =7.1mm Load P=465KN L=1.6m We have to find Modulus of…

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

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

Q: 1. The 30.0-mm-diameter steel rod whose E = 150.0 GPa is subjected to the axial forces shown in the…

Q: Q4/ Determine the total elongation of an initially straight bar of length 100 cm, with diameter is…

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: Determine the total deformation of the steel rod shown in figure under the given loads. Take the…

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

Q: hat are the main factors affecting on the impact test? And, How?

A: given:

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 steel [E = 200 GPa] bar (1) supports beam AB. The cross-sectional area of the bar is 700 mm2. If…

Q: A bar ABC length L consists of two parts of equal lengths but different diameters.Segment AB has…

A: Given: P=110 kN shortening of the bar = 0.8 mm (a)Maximum allowable diameter (b) distance b from…

Q: A thrust collar that rests on a 0.95 in. thick polymer plate supports the vertical nylon shaft. The…

Q: A rectangular bar of length L has a slot in the central half of its length. The bar has width b,…

A: Write the given data. L=520 mmE=74 GPaσavg=190 MPa

Q: Two cables of different materials have an initial length of 1 m and a cross-sectional area of 2x10…

Q: Determine the axial force (kN) in each member of the assembly shown below. Member Cross-Sectional…

Q: 1) The section of the pipe at A is under combined loading due to a tensile force P=70 kips and a…

A: Given data:- Tensile force P=70 kips a torque T=6 kip-ft. Outside diameter = 4.0 in. Inside…

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

9. A solid circular rod that is 600 mm long and 20 mm in diameter is subjected to an
axial force of P=50 kN. The elongation of the rod is ô=1.40 mm, and its diameter
becomes d'=19.9837 mm. Determine the modulus of elasticity and the modulus of
rigidity of the material. Assume that the material does not yield
P = 50 kN
600 mm
20 mm
P = 50 kN

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

One end of a aluminum rod of radius R = 9.4 mm and length L = 79 cm is held in a vise. A force of magnitude F = 61 kN is then applied perpendicularly to the end face (uniformly across the area) at the other end, pulling directly away from the vise. What is the elongation ΔL of the rod? The Young's modulus of aluminium is 70 x 109 N/m2.
Determine the final measurements of the length and diameter of the following bar that is subjected to a force of 50kN. Assume that the material behaves elastically with a modulus of elasticity of 200GPa and a Poisson's modulus of 0.32. P = 50 kN 600 mm 20 mm E=200 GPa V=0.32 P = 50 kN
Two identical rods AB and CD each have a length and diameter d, and are used to support the rigid beam, which is pinned at E A vertical force P is applied to the beam as shown in (Figure 1). The rods are made of material that has a modulus of elasticity of E Figure ▾ Part A Determine the angle of rotation of the beam. Express your answer in terms of some, all, or none of the variables P, a, E, d. L. and the constant. ΠΙΑΣΦ 11 vec 1.5PL nad L Submit Previous Answers Request Answer X Incorrect: Try Again: 3 attempts remaining Provide Feedback ? Next > 101 >
The bars AB, CD and EF made of material with E = 180GPa and have a cross sectional area of 678 mm2. The beam ACE is subjected to the force P = 163 N. Take L = 1.6m and d = 519 mm. Answer the following questions
A cylindrical rod has initial dimensions of length ? = 4 m andradius ? = 1 cm. When the rod is pulled in tension axially withan external force of ? = 200 kN, the rod deforms to newdimensions of length ?′ = 4.024 m and radius ?′ = 0.998 cm.Determine the modulus of elasticity of the rod and its Poisson’sratio. Assume the rod deforms in the elastic range.
The stepped rod is made up of two different materials A and B of lengths 80 cm and 1.2 m respectively. The diameters of materials B and A are 2.5 and 3.5 cm respectively. The modulus of elasticity of materials A and B are 250 and 150 GPa respectively. The elongation of the rod is the same for both the materials. A total tensile load of 40 kN is applied to both the materials A and B together. Calculate the load in each material.
3. A spring wire with diameter of 6 mm in a circular arc shape was initially set on the horizontal plane. One end is fixed at point B and the other end A is free. The radius of the arc R-80 mm and the center angle of the arc 0=60°. The wire is made of a steel with modulus of elasticity: 200 GPa and Poisson's ratio: 0.29. Considering that F=25 N which is applied vertically downward at A, find the total deflection at A. Hint: I = π (64)/64 = 63.62 mmª. 0 R BX A F
A rigid beam is supported by a pin at A and two metallic wires at B and C. Determine the force P that causes the point C to displace downward by 0.1 mm. Given: E (wire B) = 70 Gpa, E (wire C) = 200 Gpa and both wires have a diameter D = 6 mm. Consider a linear elastic behavior. Select one: P = 597 N P = 537 N P = 430 N P = 573 N P = 287 N
An aluminium alloy rod of length 1.8m and rectangular cross-sectional of area 250mm^2 is subjected to a compressive load of 45kN. Young's modulus and Poisson's ratio for the material are: E = 71 GPa and v =0.33. Determine the decrease in length and increase in area of the bar.
1. Rod ABCD is made from two materials with two cross sectional areas. The rod is subjected to axial loads as shown. Neglect the weight of the rod and determine the displacement of point A. EBE Ep =210 Gla 125 kN EAg = 70 GR ABE Aco=900 u AAB = 450 mm 37stEN/ %3D 2m 2.5m
A steel rod having a cross – sectional area of 300 mm2 and length of 15 m is suspended vertically from one end. It supports the load of 30 kN at the lower end. If the unit mass of steel is 7850 kg 3 m and Young modulus of Y = 200 GPa, find the elongation of the rod.
Link BD, shown in Figure 1, has a circular cross section of 10 mm diameter, and is made of a steel with a 480 MPa ultimate strength in tension and modulus of elasticity E = 200 GPa. If the structure shown was designed to support a load P of 10 KN determine: 40° P= 10 KN В 30° 37.5 cm (a) Tension in link BD, (b) Tensile stress in cross section of link BD, (c) Factor of safety of link BD, (d) Strain (8 = AL/L.) in link BD. (e) Diameter of pin C if the shear stress in the pin is not allowed to exceed 60 MPa. C 45 cm 30 ст Figure 1.