×
Get Full Access to Mechanics Of Materials - 6 Edition - Chapter 8 - Problem 8.9
Get Full Access to Mechanics Of Materials - 6 Edition - Chapter 8 - Problem 8.9

×

Each of the following problems refers to arolled-steel

ISBN: 9780073380285 142

Solution for problem 8.9 Chapter 8

Mechanics of Materials | 6th Edition

• Textbook Solutions
• 2901 Step-by-step solutions solved by professors and subject experts
• Get 24/7 help from StudySoup virtual teaching assistants

Mechanics of Materials | 6th Edition

4 5 1 359 Reviews
17
1
Problem 8.9

Each of the following problems refers to arolled-steel shape selected in a problem of Chap. 5 to support agiven loading at a minimal cost while satisfying the requirementsm # sall. For the selected design, determine (a) the actual valueof sm in the beam, (b) the maximum value of the principal stresssmax at the junction of a flange and the web.Loading of Prob. 5.73 and selected W530 3 66 shape

Step-by-Step Solution:
Step 1 of 3

ME 3350 Notes – Week 8 4 – Differential Form of the Conservation of Mass Principle (∆V) Consider arbitrary differentially small CV : δ ∫ ρdV+∮ρV ∙dA=0→ ∮ ρV∙dA= −δ ∫ ρdV=− δρ ∆V=− δρ = 1 ∮ ρV ∙dA δt CV CS CS δt CV δt|atsome p(x,y,z∈CV δt (x,y,z ,) ∆V CS −δρ 1 shrink as ∆V→0 : = lim ∮ ρV ∙dA δt ∆ V →0 CS lim 1 f ∙dA=∇∙ f →−δρ =∇∙ ρV )→ δρ+∇∙ ρV )=0 Divergence Theorem: ∆V → 0V CS δt δt continuity equation (most general form) δρ δ δ δ In Cartesian coordinates:

Step 2 of 3

Step 3 of 3