In this article (and video above), we guide you through the Combined Stress Formula for a cantilevered beam, a valuable skill that will enhance your FE Exam prep and strengthen your understanding of essential engineering concepts.
Question:
In this scenario, we have a 300 mm cantilevered beam with a 20 mm x 20 mm square cross-section. One end of the beam is securely fixed, while the other end carries two applied loads: an axial force Fx = 200 N and a perpendicular force Fy = 150 N. Our goal is to determine the maximum combined stress produced by these forces at the base of the beam, focusing specifically on point A.
Problem Context: Combined Stresses
Before we jump into the question, let’s set the stage by exploring the concept of combined stress. This combined stress state occurs when an object experiences different kinds of loads at the same time. For instance, a beam subject to both axial and bending forces will develop a combination of these induced stresses throughout its structure. In general, there are five key stress types you should be familiar with to be able to solve these kinds of problems, and they are listed here as:
- Axial stress
- Bending stress
- Shear stress
- Torsional stress
- Thermal stress
We’ll start off with a quick explanation of each stress case, starting off with axial stress.
Axial Stress
[Read more…] about Why the Combined Stress Formula is the BEST Way to Ace Your FE Exam!






Mark is a Managing Director at 1898 & Co., part of Burns & McDonnell. 1898 & Co. is a global business, technology and security consultancy serving critical infrastructure industries. We partner with clients to plan, secure and optimize their business. As part of Burns & McDonnell and our 125 years of industry experience, we understand the complexity of your asset-intensive business model, the trends impacting your industry, and the need to ground big ideas in operational realities.
Ben Frerichs is a Managing Director at 1898 & Co., a global business, technology, and security consultancy that partners with clients in critical infrastructure industries to deliver strategic insights and sustainable solutions. With over 120 years of industry experience as part of Burns & McDonnell, 1898 & Co. specializes in providing practical, real-world solutions for asset-intensive organizations.
Tina Heath, PE, LEED, is a senior technical client manager at T&M Associates with a BS in chemical engineering and chemistry from the University of California, Berkeley. She is an analytical and meticulous compliance leader with expertise in EHS regulations, project management, incident investigations, root cause analysis, policy development, and vendor/government relations. Tina excels in SCAQMD RECLAIM & Title V air permits, hazardous material and waste management, water permits, storage tank regulations, safety and environmental policy development, and site audits. She is skilled in strategic planning, budget management, and implementing best practice methodologies to drive results and create a strong compliance culture. Her work includes liaising with various government agencies and ensuring compliance with local, state, and federal regulations, including Legionella prevention and reporting for refrigerants. Tina’s dedication to excellence and innovative approach ensure the sustained success of enterprises she works with.