Problem on Calculation of Unknown Load 'P' - Stress and Strain - Strength of Materials

TL;DR

Calculate unknown load and young's modulus based on stress and elongation data.

Transcript

hello friends here in this video we are going to see a problem in which we will calculate an unknown load so here is the question a bar of cross sectional area 200 mm square is actually pulled by a force of p kilo newton if the maximum stress induced in the bar is 30 mega pascal determine p that is the unknown load if the elongation of 1.2 mm is ob... Read More

Key Insights

• ❓ Stress = Load/Area is used to calculate the unknown load in the problem.
• ⚾ The formula for elongation is employed to determine Young's modulus based on given data.
• 🦻 The observed deflection and length aid in calculating Young's modulus accurately.
• 🏆 Young's modulus represents the stiffness of the material being tested.
• ❓ The process of calculating unknown loads and Young's modulus involves fundamental engineering principles.
• ❓ Understanding stress, elongation, and area is vital for solving such engineering problems.
• 🇦🇪 Accurate calculations require the correct conversion of units in the problem.

Questions & Answers

Q: How is the unknown load in the bar calculated?

The unknown load is calculated by using the formula stress = load/area, where stress is given as 30 MPa and the area as 200 mm², resulting in an unknown load of 6000 N or 6 kN.

Q: How is Young's modulus determined in the problem?

Young's modulus is determined by using the formula for elongation, where the stress, length, and deflection values are substituted to find Young's modulus as 7.5 x 10^4 N/mm².

Summary & Key Takeaways

• A bar with a cross-sectional area of 200 mm² is pulled by an unknown force, with a maximum stress of 30 MPa induced, requiring the determination of the unknown load.

• With an observed elongation of 1.2 mm over a 3-meter length, the Young's modulus is calculated to be 7.5 x 10^4 N/mm².

• The process involves using stress = load/area to find the unknown load and the formula for elongation to determine Young's modulus.