100% satisfaction guarantee Immediately available after payment Both online and in PDF No strings attached
logo-home
SOLUTION MANUAL FOR STRENGTH OF MATERIALS CA$40.62   Add to cart

Exam (elaborations)

SOLUTION MANUAL FOR STRENGTH OF MATERIALS

 5 views  0 purchase
  • Course
  • Institution

Simple Stresses Simple stresses are expressed as the ratio of the applied force divided by the resisting area or σ = Force / Area. It is the expression of force per unit area to structural members that are subjected to external forces and/or induced forces. Stress is the lead to accurately desc...

[Show more]

Preview 4 out of 286  pages

  • April 30, 2024
  • 286
  • 2023/2024
  • Exam (elaborations)
  • Questions & answers
avatar-seller
Simple Stresses
Simple stresses are expressed as the ratio of the applied force divided by the resisting

area or


σ = Force / Area.

It is the expression of force per unit area to structural members that are subjected to

external forces and/or induced forces. Stress is the lead to accurately describe and

predict the elastic deformation of a body.


Simple stress can be classified as normal stress, shear stress, and bearing stress.

Normal stress develops when a force is applied perpendicular to the cross-sectional

area of the material. If the force is going to pull the material, the stress is said to be

tensile stress and compressive stress develops when the material is being

compressed by two opposing forces. Shear stress is developed if the applied force is

parallel to the resisting area. Example is the bolt that holds the tension rod in its

anchor. Another condition of shearing is when we twist a bar along its longitudinal axis.

This type of shearing is called torsion and covered in Chapter 3. Another type of simple

stress is the bearing stress, it is the contact pressure between two bodies.


Suspension bridges are good example of structures that carry these stresses. The

weight of the vehicle is carried by the bridge deck and passes the force to the stringers

(vertical cables), which in turn, supported by the main suspension cables. The

suspension cables then transferred the force into bridge towers.

,Normal Stress
Stress
Stress is the expression of force applied to a unit area of surface. It is measured in psi

(English unit) or in MPa (SI unit). Another unit of stress which is not commonly used is

the dynes (cgs unit). Stress is the ratio of force over area.


stress = force / area

Simple Stresses

There are three types of simple stress namely; normal stress, shearing stress, and

bearing stress.


Normal Stress

The resisting area is perpendicular to the applied force, thus normal. There are two

types of normal stresses; tensile stress and compressive stress. Tensile stress applied

to bar tends the bar to elongate while compressive stress tend to shorten the bar.




where P is the applied normal load in Newton and A is the area in mm2. The maximum

stress in tension or compression occurs over a section normal to the load.




SOLVED PROBLEMS IN NORMAL STRESS


Problem 104

A hollow steel tube with an inside diameter of 100

mm must carry a tensile load of 400 kN. Determine

the outside diameter of the tube if the stress is limited

to 120 MN/m2.

,Solution 104




Problem 105

A homogeneous 800 kg bar AB is supported at either

end by a cable as shown in Fig. P-105. Calculate the

smallest area of each cable if the stress is not to exceed

90 MPa in bronze and 120 MPa in steel.


Figure P-105




Solution 105

, Problem 106

The homogeneous bar shown in Fig. P-106 is

supported by a smooth pin at C and a cable that runs

from A to B around the smooth peg at D. Find the

stress in the cable if its diameter is 0.6 inch and the

bar weighs 6000 lb.




Solution 106




Problem 107

A rod is composed of an aluminum section rigidly

attached between steel and bronze sections, as shown

in Fig. P-107. Axial loads are applied at the positions

indicated. If P = 3000 lb and the cross sectional area

of the rod is 0.5 in2, determine the stress in each

section.




Solution 107

The benefits of buying summaries with Stuvia:

Guaranteed quality through customer reviews

Guaranteed quality through customer reviews

Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.

Quick and easy check-out

Quick and easy check-out

You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.

Focus on what matters

Focus on what matters

Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!

Frequently asked questions

What do I get when I buy this document?

You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.

Satisfaction guarantee: how does it work?

Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.

Who am I buying these notes from?

Stuvia is a marketplace, so you are not buying this document from us, but from seller THEEXCELLENCELIBRARY. Stuvia facilitates payment to the seller.

Will I be stuck with a subscription?

No, you only buy these notes for CA$40.62. You're not tied to anything after your purchase.

Can Stuvia be trusted?

4.6 stars on Google & Trustpilot (+1000 reviews)

75632 documents were sold in the last 30 days

Founded in 2010, the go-to place to buy study notes for 14 years now

Start selling
CA$40.62
  • (0)
  Add to cart