2-36 plus slab 20 1.8 16 lumn Analysis, with Moment Pg 0.08 Kn INTERACTION DIAGRAM R4-60.8 " -4 ksi -60 ksi 7-08 12 1.0 08 0.07 0.06 0.05 0.04 0.03 0.02 doo 0.01 с 06 04 b). 00035 e) 11-0 0.25 02 F 4,00050 0.05 010 0.15 0.20 0.25 0.30 PC REAS b) If pg 1% and considering point b, is the column adequate? c) If pg 1% and considering point c, is the column adequate? d) If pg=2% and considering point d, is the column adequate? e) pg=2% and considering point d, is the column adequate? 0.50 yh 075 1.0 035 040 045 PILOT &

For the Flat Slab or One-way slab and joist (approximate 2'-6" spacing) concrete system, layout the system for a 120ft (36m) x 150ft (45m) building. DO NOT USE THE SAME SYSTEM THAT YOU STUDIED. Cleary show and label the columns and dimension the bays. Make sure you are using the correct bay proportions. Sketch at least one bay in detail. Sketch a section through the system, either overall or a detail, whichever is appropriate. State the effective span range of the system. State the typical depth to span ratio that is used to find the preliminary height h of the system. Using your layout and plan show how you would determine the height h for the elements within the system given a certain bay size. Label your framing plan or section with the depths of the structural elements. Clearly show which direction(s) the elements are spanning.

Prob 3a) Column Analysis, no Moment Given: fc=4,000 psi fy=60,000 psi (8) #8 vert. bars, #3@16" Pu= 750 k Determine: a) Is the columns adequate for the load? 18in 18in #3 TIES (8) VERT p = Vert bars QPn Col. Adequate?

Proste Given: lysis Concrete beam, 5000 psi, normal-weight concrete Mu(-)-280 k-ft, h=26in, b=16in (4) #8 top and bot #3 stirrups Determine: Check if beam is adequate TOP BARS BOT. BARS As a Pmax Ptc Pmin OM=MR= Adequate? b STIRRUPS

Find the two power series solutions of the differential equation y" + xy' + 2y = 0 about the ordinary point x = 0. Give the first three nonzero terms of each solution.

Given the differential equation y" - (2y')/(x2 + 4x + 4) + (2y)/(x + 1) = 0. Classify the following points as ordinary points, regular singular points, or irregular singular points:  a) x = 0, b) x = -1, c) x = -2

1. 2 3 4 Identify the coordinates of the point in polar form based upon the given conditions. Use pi for πT. r > 0 and 0 < 0 < 2π r0 and 0 < 0 < 2π Question Help: Worked Example 1 ☐ Message instructor Submit Question

Match equation graph with its parametric equation. Not all equations will be used. All graphs shown for -5≤t≤5 5 4 3 -5-4-3-2-1 1 2 3 4 -1 -2 -3 -4 5 4 3 2 1 -5-4-3-2-1 2 3 4 -1 2 -3 -4 -5 5 4 3 2 1 -5-4-3-2-1 2 3 -1 -2 -3 -4 -5- 5 4 3 2 -5-4-3-2-1 1 འལ -2 2 3 4 √x (t) = t + cos (t) a. b. C. d. e. \y (t) = t + sin (t) = √x(t) = t³ — t โy (t) = 12 √x (t) = t cos (t) \y (t) = t sin (t) √x (t) ly (t) √x (t) {y (t) = = = et +2 = +2 = +3

6 5 4 3 2 1 -5-4-3-2-1 -1 -5 The plot above is created with the parametric equations {x (t) = a cos (bt) ly (t) = c sin (dt) To acheive this graph, a = b = C = d = Hint: b and d are both whole numbers from 1 to 3 Question Help: ☐ Video 1 ▸ Video 2 ▸ Video 3 Video 4 ☑ Message instructor Submit Question