A portion of a beam between two sections is said to be in pure bending when there is

A portion of a beam between two sections is said to be in pure bending when there is
A portion of a beam between two sections is said to be in pure bending when there is

Show

McqMate.com is an educational platform, Which is developed BY STUDENTS, FOR STUDENTS, The only objective of our platform is to assist fellow students in preparing for exams and in their Studies throughout their Academic career.

what we offer ?

» We provide you study material i.e. PDF's for offline use.» We take free online Practice/Mock test for exam preparation.» Each MCQ is open for further discussion on discussion page.

» All the services offered by McqMate are free.

Email:


Popular

Quick Links

Pure bending ( Theory of simple bending) is a condition of stress where a bending moment is applied to a beam without the simultaneous presence of axial, shear, or torsional forces. Pure bending occurs only under a constant bending moment (M) since the shear force (V), which is equal to d M d x = V {\displaystyle {\frac {dM}{dx}}=V}

A portion of a beam between two sections is said to be in pure bending when there is
, has to be equal to zero. In reality, a state of pure bending does not practically exist, because such a state needs an absolutely weightless member. The state of pure bending is an approximation made to derive formulas.

  1. In pure bending the axial lines bend to form circumferential lines and transverse lines remain straight and become radial lines.
  2. Axial lines that do not extend or contract form a neutral surface.[1]
  1. The material of the beam is homogeneous1 and isotropic2.
  2. The value of Young's Modulus of Elasticity is same in tension and compression.
  3. The transverse sections which were plane before bending, remain plane after bending also.
  4. The beam is initially straight and all longitudinal filaments bend into circular arcs with a common centre of curvature.
  5. The radius of curvature is large as compared to the dimensions of the cross-section.
  6. Each layer of the beam is free to expand or contract, independently of the layer, above or below it.

Notes: 1 Homogeneous means the material is of same kind throughout. 2 Isotropic means that the elastic properties in all directions are equal.

  1. ^ "Pure Bending".

  • E P Popov; Sammurthy Nagarajan; Z A Lu. "Mechanics of Material". Englewood Cliffs, N.J. : Prentice-Hall, ©1976, p. 119, "Pure Bending of Beams", ISBN 978-0-13-571356-3

Retrieved from "https://en.wikipedia.org/w/index.php?title=Pure_bending&oldid=1051919377"

Try the new Google Books

Check out the new look and enjoy easier access to your favorite features

Try the new Google Books

Check out the new look and enjoy easier access to your favorite features

Guys, does anyone know the answer?

get a portion of a beam between two sections is said to be in pure bending when there is from screen.

Question is ⇒ A portion of a beam between two sections is said to be in pure bending when there is, Options are ⇒ (A) constant bending moment and zero shear force, (B) constant shear force and zero bending moment, (C) constant bending moment and constant shear force, (D) none of the above, (E) , Leave your comments or Download question paper.

Previous question Next question

Q1. A portion of a beam between two sections is said to be in pure bending when there is

A.  constant bending moment and zero shear force

B.  constant shear force and zero bending moment

C.  constant bending moment and constant shear force

D.  none of the above

View Answer   15 -5 Explanation:- Answer : A

Discuss it below :!! OOPS Login [Click here] is required to post your answer/resultHelp other students, write article, leave your comments

Previous question Next question

Also Read Similar Questions Below :

⇒ Rankine-Golden formula accounts for direct as well as buckling stress and is applicable to.

very long columns long columns short columns

intermediate columns

⇒ For keeping the stress wholly compressive the load may be applied on a circular column anywhere within a concentric circle of diameter.

d/2 d/3 d/4 d/8

⇒ When a block of wood is pushed, the stress produced in it will be

Shear Frictional Compressive Tensile

⇒ The Poisson's ratio cannot have the value

0.7 0.2 0.1 0.5

⇒ If all the dimensions of a prismatic bar are doubled, then the maximum stress produced in it under its own weight will

decrease remain unchanged

increase to two times

increase to four times

⇒ A bending moment may be defined as.

Arithmetic sum of the moments of all the forces on either side of the section

Arithmetic sum of the forces on either side of the section

Algebraic sum of the moments of all the forces on either side of the section

None of these.

⇒ The bending moment diagram for a cantilever carrying uniformly distributed load will be

A triangle A parabola A cubic parabola A rectangle

⇒ A beam of length L supported on two intermediate rollers carries a uniformly distributed load on its entire length. If sagging B.M. and hogging B.M. of the beam are equal, the length of each overhang, is.

0.107 L 0.207 L 0.307 L 0.407 L

⇒ The hoop stress inducal in a thick cylinder due to radial pressure will be

Tensile Compressive Shear Bond

⇒ The stress in the wall of a cylinder in a direction normal to its longitudinal axis, due to a force acting along the circumference, is known as

yield stress longitudinal stress hoop stress

circumferential stress

⇒ In a three hinged arch, the shear force is usually

maximum at crown

maximum at springings

maximum at quarter points

varies with slope.

⇒ Along the principal plan subjected to maximum principal stress.

maximum shear stress acts

minimum shear stress acts

no shear stress acts

none of these.

⇒ The property of a material by which it can be drawn to a smaller section, due to tension, is called.

plasticity ductility elasticity malleability

⇒ A three hinged arch is loaded with an isolated load 1000 kg at a horizontal distance of 2.5 m from the crown, 1 m above the level of hinges at the supports 10 metres apart. The horizontal thrust is.

1250 kg 125 kg 750 kg 2500 kg

⇒ A rectangular bar of width b and height h is being used as a cantilever. The loading is in a plane parallel to the side b. The section modulus is.

bh3/12 bh2/6 b2h/6 none of these.

⇒ In a continuous bending moment curve the point where it changes sign, is called.

point of inflexion

point of contraflexture

point of virtual hinge

all the above

⇒ Strain energy of any member may be defined as work done on it.

to deform it

to resist elongation

to resist shortening

all the above

⇒ In a three hinged arch, the bending moment will be zero.

at right hinge only at left hinge only

at both right and left hinges

at all the three hinges

⇒ The moment diagram for a cantilever whose free end is subjected to a bending moment, will be a.

triangle rectangle parabola cubic parabola

⇒ The ratio of strengths of solid to hollow shafts, both having outside diameter D and hollow having inside diameter D/2, in torsion, is.

1/4 1/2 1/16 15/16

⇒ The B.M. diagram of the beam shown in below figure, is

a rectangle a triangle a trapezium a parabola

⇒ The property by which a body returns to its original shape after removal of the force, is called.

plasticity elasticity ductility malleability

⇒ Hooke's law states that stress and strain are.

directly proportional

inversely proportional

curvilinearly related

none of these

⇒ The stress necessary to initiate yielding, is considerably.

more than that necessary to continue it

less than that necessary to continue it

more than that necessary to stop it

less than that necessary to stop it

⇒ The deflection of any rectangular beam simply supported, is.

directly proportional to its weight

inversely proportional to its width

inversely proportional to the cube of its depth

directly proportional to the cube of its length

⇒ A simply supported beam (l + 2a) with equal overhangs (a) carries a uniformly distributed load over the whole length, the B.M. changes sign if.

स्रोत : studysite.org

A portion of a beam between two sections is said to be in pure bending when there is

Strength of materials

Strength of materials - Section 1

Strength of materials - Section 2

Strength of materials - Section 3

Question: A portion of a beam between two sections is said to be in pure bending when there is

1 constant bending moment and zero shear force

2 constant shear force and zero bending moment

3 constant bending moment and constant shear force

4 none of the above

Explanation:

A condition of stress in which a bending moment is applied to a beam without the simultaneous presence of axial, shear, or torsional forces is known as pure bending.

Pure bending occurs only under a constant bending moment (M) since the shear force (V), which is equal to \cfrac{dM}{dx}=VdxdM​=V, has to be equal to zero

In actuality, because such a state requires an absolutely weightless part, this state of pure bending does not exist.

The state of pure bending an an approximation made to derive formulas.

Q1. For a stable frame structure, number of members required, is

1 three times the number of joints minus three

2 twice the number of joints minus three

3 twice the number of joints minus two

4 twice the number of joints minus one

View Answer

Q2. The cross sections of the beams of equal length are a circle and a square whose permissible bending stress are same under same maximum bending. The ratio of their flexural weights is,

1 1.118 2 1.338 3 1.228 4 1.108 View Answer

Q3. The section modulus of a rectangular light beam 25 metres long is 12.500 { cm }^{ 3 }cm3. The beam is simply supported at its ends and carries a longitudinal axial tensile load of 10 tonnes in addition to a point load of 4 tonnes at the centre. The maximum stress in the bottom most fibre at the mid span section, is

1 13.33 kg/{ cm }^{ 2 }kg/cm2 tensile

2 13.33 kg/{ cm }^{ 2 }kg/cm2 compressive

3 26.67 kg/{ cm }^{ 2 }kg/cm2 tensile

4 26.67 kg/{ cm }^{ 2 }kg/cm2 compressive

View Answer

Q4. Shear stress on principal planes is

1 zero 2 maximum 3 minimum 4 none of the above View Answer

Q5. A cantilever carrying a uniformly distributed load W over its full length is propped at its free end such that it is at the level of the fixed end. The bending moment will be zero at its free end also at

1 mid point of the cantilever

2 fixed point of the cantilever

3 1/4th length from free end

4 3/4th length from free end

View Answer

Q6. The ratio of the moment of inertia of a circular plate and that of a square plate for equal depth, is

1 less than one 2 equal to one 3 more than one 4 equal to 3π/16 View Answer

Q7. If S is the shear force at a section of an I-joist, having web depth d and moment of inertia I about its neutral axis, the difference between the maximum and mean shear stresses in the web is,

1 \frac { S{ d }^{ 2 } }{ 8I }8ISd2​

2 \frac { S{ d }^{ 2 } }{ 12I }12ISd2​

3 \frac { S{ d }^{ 2 } }{ 16I }16ISd2​

4 \frac { S{ d }^{ 2 } }{ 24I }24ISd2​

View Answer

Q8. Shear deflection of a cantilever of length L, cross sectional area A and shear modulus G, subjected to w/m u.d.l., is

1 \frac { 3 }{ 4 } \frac { { L }^{ 2 }w }{ GA }43​GAL2w​

2 \frac { 3 }{ 2 } \frac { { L }^{ 2 }w }{ GA }23​GAL2w​

3 \frac { 2 }{ 3 } \frac { { L }^{ 2 }w }{ GA }32​GAL2w​

4 \frac { 2 }{ 3 } \frac { { L }w }{ G{ A }^{ 2 } }32​GA2Lw​

View Answer

स्रोत : www.examtown.com

[Solved] A section of the beam is said to be in pure bending, if it i

Concept: Pure bending is a condition of stress where a bending moment is applied to a beam without the simultaneous presence of axial, shear, or torsional fo

Home Strength of Materials Simple Stress and Strain

Question

Download Solution PDF

A section of the beam is said to be in pure bending, if it is subjected to

This question was previously asked in

NPCIL SA/ST ME GJ held on 07/11/2019 Shift-1

Download PDF Attempt Online

View all NPCIL Scientific Assistant Papers >

Constant shear force and constant bending moment

Constant bending moment and zero shear force

Constant shear force and zero bending moment

None of these

Answer (Detailed Solution Below)

Option 2 : Constant bending moment and zero shear force

Free Tests

View all Free tests >

FREE

ST 1: Theory of Machines

1843

20 Questions 20 Marks 25 Mins

Start Now

Detailed Solution

Download Solution PDF

Concept:

Pure bending is a condition of stress where a bending moment is applied to a beam without the simultaneous presence of axial, shear, or torsional forces.

Pure bending occurs only under a constant bending moment (M) since the shear force (V), which is equal to

dMdx

= V, has to be equal to zero.

In reality, this state of pure bending does not practically exist, because such a state needs an absolutely weightless member.

The state of pure bending is an approximation made to derive formulas.

Download Solution PDF

Share on Whatsapp

India’s #1 Learning Platform

Start Complete Exam Preparation

Daily Live MasterClasses

Practice Question Bank

Mock Tests & Quizzes

Get Started for Free

Download App

Trusted by 2,82,50,028+ Students

‹‹ Previous Ques Next Ques ››

More Simple Stress and Strain Questions

Q1. A metal bar of 40 mm x 40 mm section is subjected to a tensile load of 320 kN. The extension of a 200 mm gauge length is found to be 0.2 mm and the decrease in thickness of 0.012 mm. The lateral and longitudinal strains are _________ respectively.Q2. In tension failure of a brittle metal, failure plane is at ________ degrees.Q3. __________ states that when a material is loaded within the elastic limit, the stress is proportional to the strain produced by the stress.Q4. When a material can undergo a deformation without rupture, it is called -Q5. Which of the following has no unit?Q6. Hook's law is applicable upto -Q7. The force is completely specified only when one of the following characteristics are specified.Q8. If longitudinal strain is tensile, the lateral strains will be _________.Q9. The ratio of change in dimension of the body to the original dimension is known as:Q10. The body in which deformation can be neglected in the analysis, is called _______ body.

स्रोत : testbook.com