CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Strength of Materials

Maximum Principal Stress Theory

The limit of ...

Question

The limit of proportionality of a certain steel sample is 300 MPa in simple tension. It is subjected to principal stresses of 150 MPa (tensile), 60 MPa (tensile) and 30 MPa (tensile). According to the maximum principal stress theory, the factor of safety in this case would be

A

10

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

5

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C

4

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

2

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D 2
Maximum principal stress = 150 MPa
$F a c t o r o f s a f e t y = \frac{300}{150} = 2$

Suggest Corrections

thumbs-up

2

Similar questions

Q. Steel has proportionality limit of 300 MPa in simple tension. It is subjected to principal stresses of 120 MPa (tensile), 60 MPa (tensile) and 30 MPa (compressive). What is the factor of safety according to maximum shear stress theory?

Q. The principal stresses at a point in a critical section of a machine component are

σ_{1} = 60 M P a .

σ_{2} = 5 M P a .

σ_{3} = - 40 M P a .

For the material of the component, the tensile yield strength is

σ_{y} = 200 M P a

. According to the maximum shear stress theory, the factor of safety is

Q. At a point in a steel member, the major principal stress is 200 MPa (tensile) and the minor principal stress is compressive. If the uniaxial tensile yield stress is 250 MPa, then according to the maximum shear stress theory, the magnitude of the minor principal stress (compressive) at which yielding will commence is

Q. A certain steel has proportionallity limit of 3000

k g / c m^{2}

in simple tension. It is subjected to principal stresss of 1200

k g / c m^{2}

k g / c m^{2}

(tensile) and 300

k g / c m^{2}

(compressive). The factor of safety according to maximum shear stress theory is

Q. The limit of proportionality in the material of a structural steel member, when subjected to simple tension, is 280

N / m m^{2}

. The principal stresses in the member are

σ_{1} = 122 N / m m^{2}

σ_{2} = 60 N / m m^{2}

μ = 0.3

. According to maximum strain theory, the factor of safety is

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Maximum Principal Stress Theory

STRENGTH OF MATERIALS

Watch in App

explore_more_icon

Explore more

Maximum Principal Stress Theory

Other Strength of Materials

Join BYJU'S Learning Program

CrossIcon