(a) Determine the shape factor/for a hollow cross-section having an inner radius of r1 and outer radius r2 (sec figure), (b) If the section is very thin, what is the shape factor?. PROBLEM 6.10-2

Shape factor (S) Shape factor is the ratio of the plastic modulus and elastic modulus. Where, Zp =…

Answered: PROBLEM 6.10-2

Engineering

Mechanical Engineering

PROBLEM 6.10-2

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter4: Numerical Analysis Of Heat Conduction

Section: Chapter Questions

Problem 4.9P

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Concept explainers

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

Question

(a) Determine the shape factor/for a hollow cross-section having an inner radius of r₁and outer radius r₂(sec figure), (b) If the section is very thin, what is the shape factor?.

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ᴀɴ ᴀᴍᴍᴏɴɪᴀ ꜱɪᴍᴘʟᴇ ꜱᴀᴛᴜʀᴀᴛɪᴏɴ ᴄʏᴄʟᴇ ᴏᴘᴇʀᴀᴛᴇꜱ ᴇᴠᴀᴘᴏʀᴀᴛᴏʀ ᴀɴᴅ ᴄᴏɴᴅᴇɴꜱᴇʀ ᴛᴇᴍᴘᴇʀᴀᴛᴜʀᴇꜱ ᴏꜰ -20°ᴄ ᴀɴᴅ 35°ᴄ,ʀᴇꜱᴘᴇᴄᴛɪᴠᴇʟʏ. ᴛʜᴇ ꜱʏꜱᴛᴇᴍ ɪꜱ ᴛᴏ ʙᴇ ᴜꜱᴇᴅ ɪɴ ᴘʀᴏᴅᴜᴄɪɴɢ 6000 ᴋɢ ᴏꜰ ɪᴄᴇ ᴀᴛ -12°ᴄ ꜰʀᴏᴍ ᴡᴀᴛᴇʀ ᴀᴛ 29°ᴄ ɪɴ 10 ʜᴏᴜʀꜱ. ᴀꜱꜱᴜᴍɪɴɢ ʟᴏꜱꜱᴇꜱ ᴛᴏ ʙᴇ 30 ᴘᴇʀ ᴄᴇɴᴛ ᴏꜰ ᴛʜᴇ ʜᴇᴀᴛ ᴛᴏ ʙᴇ ᴀʙꜱᴏʀʙᴇᴅ ꜰʀᴏᴍ ᴛʜᴇ ᴡᴀᴛᴇʀ, ᴅᴇᴛᴇʀᴍɪɴᴇ (ᴀ) ᴛʜᴇ ᴍᴀꜱꜱ ꜰʟᴏᴡ ʀᴀᴛᴇ, (ʙ) ᴛʜᴇ ʜᴇᴀᴛ ʀᴇᴊᴇᴄᴛᴇᴅ ᴀᴛ ᴛʜᴇ ᴄᴏɴᴅᴇɴꜱᴇʀ, ᴀɴᴅ (ᴄ) ᴛʜᴇ ᴘᴏᴡᴇʀ ʀᴇQᴜɪʀᴇᴅ ʙʏ ᴛʜᴇ ᴄᴏᴍᴘʀᴇꜱꜱᴏʀ.