#1. The wide‐flange beam is subjected to the loading shown. Determine the principalstress in the beam at Points A and B. These points are located at the top and bottom ofth b ti l Alth h it i t t th h f l tthe web, respectively. Although it is not very accurate, use the shear formula todetermine the shear stress.

Internal Forces and Moment: 

Section Properties:

Normal Stress:

Shear Stress:

for point A

#2. The wide‐flange beam is subjected to the loading shown. Determine the principal stressin the beam at point A, which is located at the top of the web. Although it is not veryaccurate, use the shear formula to determine the shear stress. Show the result on anelement located at this point.

The normal stress developed is contributed by bending stress only. For point A,

The shear stress is contributed by the transverse shear stress only. Thus

#3. Determine the maximum in-plane shear stress developed at point A on the cross sectionof the arm at section a–a. Specify the orientation of this state of stress and indicate theresults on an element at the point.p

Support Reactions:

Internal Loadings:

Normal and Shear Stress: The normal stress is a combination of axial and bending stress. Thus,

The shear stress is contributed only by transverse shear stress.

Maximum In ‐ Plane Shear Stress: 

Orientation of the Plane of Maximum In ‐ Plane Shear Stress:

Average Normal Stress:Average Normal Stress: