A hollow steel [E = 30,000 ksi] tube (1) with an outside diameter of 3.500 in. and a wall thickness of 0.500 in. is fastened to a solid aluminum [E = 10,000 ksi] rod (2) that has a 2.000-in.-diameter and a solid 1.375-in.-diameter aluminum rod (3). The bar is loaded as shown. AssumeL1= 55 in., L2= 40 in., L3= 25 in., R= 31 kips, Q = 11 kips, and P = 27 kips. Determine (a) the change in length of steel tube (1). (b) the deflection of joint D with respect to the fixed support at A. (c) the maximum normal stress in the entire axial assembly. (2) (3) C D A B R L1 L2 L3

A hollow steel [E = 30,000 ksi] tube (1) with an outside diameter of 3.500 in. and a wall thickness of 0.500 in. is fastened to a solid aluminum [E = 10,000 ksi] rod (2) that has a 2.000-in.-diameter and a solid 1.375-in.-diameter aluminum rod (3). The bar is loaded as shown. AssumeL1= 55 in., L2= 40 in., L3= 25 in., R= 31 kips, Q = 11 kips, and P = 27 kips. Determine (a) the change in length of steel tube (1). (b) the deflection of joint D with respect to the fixed support at A. (c) the maximum normal stress in the entire axial assembly. (2) (3) C D A B R L1 L2 L3

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

1/2 Problem 1: Two solid cylindrical rods AB and BC are welded together at B and loaded as shown in. If the stress must not exceed 14OMPA in either rod, determine the smallest allowable value of the diameter of rod AB and ВС. 300mm B 40 kN 250mm - d2 30 kN
1. Find: (a) the stress in the Steel and Ahuminium rods after the loap P applied and the temprature raised 60 C" and (b) the displacement under the load P. Using the data in the Table below. Rod A (mm) a (um/m. C) L (m) d (m) 0 (degree) E (GPa) P (kN) Steel 500 T1.2 190 3 35 Aluminium 400 18.9 22 70 Aluminium Steel 4m 2m
_Find: (a) the stress in the Steel and Ahuminium rods after the loap P applied and the temprature raised 60 C" and (b) the displacement under the load P. Using the data in the Table below. Rod A (mm) a (um/m. C°) L (m) d (m) 0 (degree) E (GPa) P (kN) Steel 400 T1.2 195 3 35 Aluminium 300 18.9 4 30 90 Aluminium Steal 4m 2m
SITUATION. A steel plate ABCD of thickness t = 5mm is subjected to uniform stresses: = 100 MPa 0₂ = -60 MPa. Ox E =200GPa, v= 1/3 a = 160mm and b = 200 mm Calculate the change in thickness (mm). -0.0023 mm 0.0023 mm O O 0.0045 mm - 0.0045 mm Ł B AL C D X
7 30 Enercise:- diameter of 12mm A cylindrical rod 100 mm long with is subjected to a 30000 N. Assuming that the tensile load of deformation is entirely elastic and allowable elevation in pligmeter is allowable reduction in dligmeter is 0.015mm. choose amory only meeting requirent U (Poiss ons vahu) 0.33 below Material Aluminium alloy Bronze Titanium allow manimum 0.3 mm while manimum E (GPa) 70 100 110 0.34 3
A rigid beam rest on two bronze bars 700mm long. Another aluminum bar is placed between them which is 699.93mm long. If the weight of the beam is 375KN, determine the stress in the aluminum bar in MPa. (Round your answer to 3 decimal places) (Exclude your unit in the answer box) Bronze Alum 850 1500 Ain mm E in GPa 70 83 bronz alum bronze
H.W.6: A hollow circular cold-rolled bronze [G, = 6,500 ksi] tube (1) with an outside diameter of 1.75 in. and an inside diam- eter of 1.25 in. is securely bonded to a solid 1.25-in.-diameter cold-rolled stainless steel [G2 = 12,500 ksi] core (2) as shown in Figure and the allowable shear stress of core (2) is 60 ksi. Determine . The allowable shear stress of tube (1) is 27 ksi, (a) the allowable torque T that can be applied to the tube-and- core assembly. (b) the corresponding torques produced in tube (1) and core (2). (c) the angle of twist produced in a 10-in. length of the assembly by the allowable torque T. (1) т. FIGURE
A polymer cylinder (2) is clamped between rigid heads by two steel bolts (1). The steel [E = 29,000 ksi; a = 6.5x10-6/°F]bolts have a diameter of 0.45 in. The polymer [E = 350 ksi; a = 38.2x 10-6/0F] cylinder has an outside diameter of 6.4 in. and a wall thickness of 0.75 in. Assume a = 21 in. and b = 23 in. If the temperature of this assembly changes by AT = 135°F, determine: (a) the normal stress in the polymer cylinder. (b) the normal strain in the polymer cylinder. (c) the normal strain in the steel bolts. (2) a b. Answer: (a) 02 = psi. (b) E2 = (c) E1 =
= 5.29 Knowing that P Q = 480 N, determine (a) the distance a for which the absolute value of the bending moment in the beam is as small as possible, (b) the corresponding maximum normal stress due to bending. (See hint of Prob. 5.27.) THEMOM DV P nedw to absol be500 mm 500 mm pripoly not Alase BOLERON 9T AO mersib anamorp sode bol ng appiled: the batuda Fig. P5.29 edi te ating out A Daniloobo CV. D (5.6b) Q f 12 mm s mas i nadw bozudiruaib ebimnice di Tibe sade 2b2 B (10. busd bus bris to pages. eda sdtlanbi are noe minnas li batalize yo led ditw i most u tamom gaiboedshus en betrovalmisoled loads Dignst Box brol 18 mm
CLO 1: A rigid beam rests on two bronze bars 700 mm long. Another aluminum bar is placed between them which is 699.93 mm long. If the allowable stresses are Salum = 90 MPa and Spronze = 80 MPa, find the maximum weight of the beam that the system can support (in KN). %3! Alum 850 Bronze A in mm2 1500 Bronze Bronze E in Gpa 70 83 Alum 291.408 O 211.932 437.393 O 90.673
Q2\ A compound bar consisting of bronze, aluminum, and steel segments is loaded axially as shown in the figure. Determine the maximum allowable value of P if the change in length of the bar is limited to 2 mm and the working stresses prescribed in the table are not to be exceeded. A (mm') E (GPa) Ow (MPa) =TTT Aluminum Bronze 450 83 120 3P Bronze Steel 2P P AP- Aluminum 600 70 80 Steel -0.6 m→l- - 1.0 m- H-08 m- 300 200 140
A compound bar consisting of bronze, aluminum, and steel segments is loaded axially as shown in the figure. Determine the maximum allowable value P if the change in length of the bar is limited to 2 mm and the working stresses prescribed in the table are not to be exceeded. Aluminum 3P Bronze Steel 2P P 4P - 1.0 m- - 0.6 m→- ste-0.8 m - A (mm²) E (GPa) . (MPa) Bronze 450 83 120 Aluminum 600 70 80 Steel 300 200 140