%54. Find the interaction diagram for the following columns with the same cross-sectional areaand reinforcement using the specified points. Assume f = 3 ksi, fy = 60 ksi, yh = h -5". Assume ties conform to ACI requirements and #9 bars are evenly distributed in eachcross section. Assume the fiber in extreme compression in flexure is at the top of thecross sections.Q Search4-a. Maximum compressionb. Onset of cracking &$1 = 0c. Balanced condition Es1 = -Eyd. Transition zone Es1 = -2Eye.Tension controlled limit Es1 = -0.00507f. Pure TensionCross section b= 18" h= 18" Cross section b= 18 in. h 36 inJ+d₁d₂d3&7SLEDfe14415.5 in9 in2.5 in*8DIId₁d₂dahip(DDI933.5 in24.25 in4.5 ininsert4prt scT|Y||U || | ||0|| P || TG

Note: Since you have posted multiple questions, we will provide the solution only to the first…

4. Find the interaction diagram for the following columns with the same cross-sectional area and reinforcement using the specified points. Assume f = 3 ksi, fy = 60 ksi, yh=h- 5". Assume ties conform to ACI requirements and #9 bars are evenly distributed in each cross section. Assume the fiber in extreme compression in flexure is at the top of the cross sections. a. Maximum compression b. Onset of cracking &$1 = 0 c. Balanced condition Es1 = -Ey d. Transition zone Es1 = -2Ey e. Tension controlled limit &$1 = -0.00507 f. Pure Tension

4. Find the interaction diagram for the following columns with the same cross-sectional area and reinforcement using the specified points. Assume f = 3 ksi, fy = 60 ksi, yh=h- 5". Assume ties conform to ACI requirements and #9 bars are evenly distributed in each cross section. Assume the fiber in extreme compression in flexure is at the top of the cross sections. a. Maximum compression b. Onset of cracking &$1 = 0 c. Balanced condition Es1 = -Ey d. Transition zone Es1 = -2Ey e. Tension controlled limit &$1 = -0.00507 f. Pure Tension

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

H.W 3 Two aluminum alloy plates (2) are attached to the sides of a wooden beam (1) as a shown in Figure 3. mensions of the composite cross section are b1 = 80 mm, di : 240 mm, b2 = 10 mm, d2 The di- dz di %3D %3D 120 mm, and a= 60 mm. Deter- (2) (2) mine the maximum bending stresses produced in both the a (1) wooden beam and the aluminum plates if a bending moment M = +6,000 N-m is applied about the z axis. Assume that Ej = 12.5 GPa and E2 = 70 GPa. FIGURE 3 %3D
2. The manufactured wood beam carries the concentrated loads shown. What is the maximum safe value of P if the working stress in shear is 6 MPa? 20 mm 80 mm |3P 2 m 2 m 70 mm B 160 mm -- NA I = 15.52 × 106 mmª 1.0 m 1.0 m 20 mm
Problem 4 For the shown structure, AB is made by A-36 steel (Est = 200GPA, ast = 12 x 10-67 °C) and BC is made by %| 73.1GPA, aal = 23 × 10-6/ °C). Both AB and BC are having circular cross sectional area. The aluminum (Eal gap between C and the rigid wall at D is initially 0.15 mm. For the following situations, find (1) reaction forces at fixed end A and D (2) Plot the axial load diagram P=400 kN applied at B and there is no temperature -0.15 тm 600 mm 600 mm vi. change vii. P=400 kN applied and temperature in both AB and BC 25°C segments had dropped AT P=400 kN applied, however, the temperature in AB increased ATst = 25°C and temperature in BC decreased ATal = 25°C vii. B. 25 mm 50 mm
In a laboratory test of a beam loaded by end couples, the fiber at layer -3 AB as shown are found to increase 40 x 10mm while those at CD decrease 70 x 10 mm in the 250-mm-gage length. Using E= 150 GPa, determine the flexural stress at the top fiber. Answer must be in MPa. -3 Given: a 60 mm, b 120 mm, and C 80 mm. gage length a mm A 8. b mm D. c mm
In a laboratory test of a beam loaded by end couples, the fiber al layer AB as shown are found to increase 30 x 10 8 mm while those at CD decrease 60 x 10 -3 mm in the 280- mm-gage length. Using E = 150 GPa, determine the flexural stress at the bottom fiber. Answer must be in MPa, Given: a = 50 mm, b = 120 mm, and c - 80 mm. gage length a mm A b mml Cmm
1. Differentiate the permanent and the variable action with suitable examples 2. Analyze the stress-strain relationship of steel. Notes : Internal forces Fcc = 0.567fck(b x 0.8x) = 0.454 fck bx Fst = 0.87 fyk As Moment of resistance with respect to steel, M = Fcc.z Moment of resistance with respect to concrete, M = Fst.z Mbal = Kbal fck bd2 where Kbal = 0.167 As ‘ = (M-Mbal) / 0.87 fyk (d-d’) As = Mbal / 0.87 fyk zbal + As’
The wooden members A and B are to be joined by plywood splice plates that will be fully glued on the surfaces in contact. The clearance between the ends of the members is to be 11.4 mm, the length of the plywood is L = 316 mm and the width of the wood is W = 98 mm. Find the largest possible value of P (in N) if the average shearing stress in the glue is not to exceed S = 810 kPa.
1. See figure below and solve for the maximum value of torque the composite shaft can accommodate given a maximum shear stress of 8ksi in bronze and 12 ksi for the steel. Assume bronze has G = 6 × 103 ksi, and for steel, G = 12 × 103 ksi. %3| L C2" 3" Hollow Bronze Steel Core D = 3 in, d = 2 in D = 2 in
A small aluminum alloy [E 65 GPa] tee shape is used as a simply supported beam as shown. For this beam, a 165 mm. The cross- sectional dimensions of the tee shape are b 19 mm, d= 29 mm, and t 7 mm, After loads are applied to the beam at B, C, and D,a compressive normal strain of 480 uɛ is measured from a strain gage located at c=5 mm below the topmost edge of the tee stem at section 1-1. What is the applied load P? 17 P. P. 3P Strain gage D a - H. a b. Answer: ! N P = i 2.
A small aluminum alloy [E = 73 GPa] teeshape is used as a simply supported beam as shown. For this beam, a = 150 mm. The cross- sectional dimensions of the teeshape are b = 25 mm, d= 38 mm, and t=7 mm. After loads are applied to the beam at B, C, and D, a compressive normal strain of 490cis measured from a strain gage located at c= 9 rmm below the topmost edge of the tee stem at section 1-1. What is the applied load P? 3P Strain gage d a a H Answer: P = i
A composite beam is made of two brass [E = 97 GPa] plates bonded to an aluminum [E = 72 GPa] bar, as shown. The beam is subjected to a bending moment of 2420 N-m acting about the z axis. Assume b=64 mm, d1=36 mm, d2=13 mm. Determine: (a) the maximum bending stresses opy,Gal in the brass plates and the aluminum bar. (b) the stress in the brass obrj at the joints where the two materials are bonded together. Brass (2) d2 Aluminum (1) Brass (2) dz b Answers: (a) obr = i MPa, oal = i MPа. (b) Obrj MPa.
PROBLEM 1) An aluminum bar carries the axial loads at the positions shown. If E=70GPA, compute the total deformation of the bar. Assume that the bar is suitably braced to prevent buckling. 0.4m D 10KN 6) What is the deformation &c in mm? 0.8m 0.4m B 5KN 0.6m 20KN A=800 mm? A=1,200 mm²