Rigid bar ABC is supported by bronze rod (1) and stainless steel rod (2) as shown in the figure. A concentrated load of P = 24 kips is applied to the free end of bronze rod (3). Determine the magnitude of the deflection of rod end D after the temperature of all rods has increased by 115 Fo. Use the following dimensions and properties: a = 3.5 ft, b = 7.5 ft. Rod (1): d 1= 1.10 in.,L 1= 12 ft , E 1= 15,200 ksi , a 1= 12.20 × 10 - 6 /Fo. Rod (2): d 2 = 0.65 in. , L 2 = 10 ft , E 2 = 28,000 ksi, a 2 = 9.60 x 10 - 6/Fo. Rod (3): d 3 = 1.15 in. , L 3 = 6 ft, E3 = 15,200 ksi , a 3 = 12.20 x 10 - 6/Fo. (1) L (2) b L2 a Rigid bar A (3) L3 P vD = i in.

Rigid bar ABC is supported by bronze rod (1) and stainless steel rod (2) as shown in the figure. A concentrated load of P = 24 kips is applied to the free end of bronze rod (3). Determine the magnitude of the deflection of rod end D after the temperature of all rods has increased by 115 Fo. Use the following dimensions and properties: a = 3.5 ft, b = 7.5 ft. Rod (1): d 1= 1.10 in.,L 1= 12 ft , E 1= 15,200 ksi , a 1= 12.20 × 10 - 6 /Fo. Rod (2): d 2 = 0.65 in. , L 2 = 10 ft , E 2 = 28,000 ksi, a 2 = 9.60 x 10 - 6/Fo. Rod (3): d 3 = 1.15 in. , L 3 = 6 ft, E3 = 15,200 ksi , a 3 = 12.20 x 10 - 6/Fo. (1) L (2) b L2 a Rigid bar A (3) L3 P vD = i in.

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

3P 2P A beam ABCD made of extruded aluminum and of length L= 1000 mm, is fixed at its ends A and D. The beam supports a vertical force 3P at B and a vertical force 2P at C as shown in figure 3. The details of the cross section of the beam are also given in Figure 3. The wall thickness is constant and equals to 10 mm. Note that all dimensions are in mm. The beam material is elastic perfectly plastic with a yield stress Sy = 300 MPa. a) Compute the fully plastic moment (Mp) of the beam cross section. b) Compute the fully plastic load (Pp) of the beam. L4 L2 DDX y+ 10 80 30 40 Figure 3
QUESTION 2 A steel cantilever beam is made of two structural tee- section beams welded together as shown in the Figure 2 below. Determine the allowable safe load (P) that the beam can carry. The allowable stresses are: 0-150MPa in tension and compression, T=100MPa in shear, and q=2000N/mm on the welded joint. 150 -200mm- -150- 25 weld 25 ΝΑ 25 M=P V=P -1.0m- Figure 2 weld 0.5m 31
Question 1 For the structure shown in Figure Q.1: (a) Calculate the magnitude of force G, given that the maximum normal stress in each member should not exceed 150 MPa. The diameter of the steel rods (member 1 to 5) is given as 30 mm. (b) Determine the stresses induced in all the members and the deflection of point A and B in the x and y direction. L1=490MM L2=420MM L3=760MM Figure Q.1
Fourier series: simply supported beam deflection under trapezoidal load
1. An aluminum tube AB of circular cross section has a guided supporter at the base and is pinned at the top to a horizontal beam, which supports a load of Q=200 kN as shown in the accompanying illustration. If the outside diameter of the tube is d=200 mm, determine the required thickness, t, of the tube. Use Euler's buckling theory, and assume a safety factor of N=3. (N.B.: For the aluminum used for the column, use E = 72 GPa.) -1.0 1.0 m B THI 1.0 m- Jº= d = 200 mm 200 KN 2.0 m
4. The truss shown in figure Q4.1 is constructed out of square steel bars, all of which are of 25mm x 25mm cross-section. The value of Young's Modulus for steel should be taken as 200 GPa. Calculate the horizontal deflection of point A when the truss is subjected to the loading shown. B 0.5m 5kN A с 10kN 2m D 1m
6...
A saw-tooth loading is applied as shown in the figure. The flexural stiffness (EI) of the beam is 1×10³ kN m², determine the following (using the Macaulay's method): the free body diagram q = 24 kN/m² 1 m B 1m 2 m C---- 2 m
The rigid beam hidden in the figure is fixed at the top by two posts (dext = 50mm), one in AISI 4340 steel and the other in 6063-T6 aluminum. The posts are 500 mm long when no load is applied to the beam, and the temperature is T1 = 20°C. Calculate the longitudinal displacements (δAl, and δFe) and half stresses (σAl, and σFe) in the posts when a homogeneously distributed load of 400 kN/m is applied, and the temperature is raised to T2 = 70°C. Calculate the factors of safety. Use EFe = 200 Gpa , and EAl = 70 Gpa. Elastic limit AISI 4340 (Sy = 786 MPa), and AA6063-T6 (Sy = 214 MPa). R:/ δAl= -0.15 mm; σAl=-21.4 Mpa; δFe= +0.05 mm σFe = +18.1 Mpa;
The three equally spaced vertical rods in Fig. (a) are securely attached to a rigid horizontal bar. The two outer rods are made of an aluminum alloy, and the middle rod is steel. The cross- sectional areas of the rods are shown in the figure. Determine the residual stresses in the rods after the load P has been increased from zero to the limit load and then removed. The material properties are E = 70 GPa, Oyp = 330 M Pafor aluminum, and E = 200 GPa, Typ 290 MPa for steel. Neglect the weight of the bar. Aluminum 600 mm² Steel (a) շատ (06 Aluminum 600 mm² 250 mm 100 mm
= 29,000 For the structure and loading shown below, find the lateral deflection at the top. Use E ksi and I = 250 in4 for all members. Note that in frames, we neglect axial deformation, so you can calculate the deflection at either of the upper corners; the answer will be the same. t. 201 8K 10! 1. What is the deflection at the top in inches (two decimal places) ot
Two rods vertically connect beams AB and CD as shown in the figure. Point A is fixed supported while point D is hinged connected. If the rod on the right is heated by 18 degree Celsius, 2 m- - 2 m A 2 m C Use E = 200 GPa, linear of coefficient expansion = 11 7x 10 per degree celsius and A = 4500 mm2 Compute for the deformation of the right rod in mm. Select the correct response 0.0468 mm 0.117 mm 0 0234 mm 0.0842 mm