Problem: Two solid shafts of different materials are rigidly fastened ogether and attached to rigid supports. The aluminum segment is 75 mm in diameter and G₁ = 28 GPa. The steel segment has a diameter of 50 mm. and G₁ = 83 GPa. The orque, T = 1.2 kN.m, is applied at the junction of the two segments. Compute the maximum shearing stress developed in the assembly. Tal 2m Aluminum 1m Steel T = 1.2 kN-m

Problem: Two solid shafts of different materials are rigidly fastened ogether and attached to rigid supports. The aluminum segment is 75 mm in diameter and G₁ = 28 GPa. The steel segment has a diameter of 50 mm. and G₁ = 83 GPa. The orque, T = 1.2 kN.m, is applied at the junction of the two segments. Compute the maximum shearing stress developed in the assembly. Tal 2m Aluminum 1m Steel T = 1.2 kN-m

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

The brass wire has a triangular cross section, 2mm on a side. The yield stress for brass is Ty= 208 MPa. Gbr= 37 GPa. Determine the maximum torque to which it can be subjected so that the wire will not yield and the angle of twist
H.W 3 Two aluminum alloy plates (2) are attached to the sides of a wooden beam (1) as shown in Figure 3. mensions of the composite cross section are b1 = 80 mm, d¡ = 240 mm, b2 = 10 mm, d2 = b2 The di- |di 120 mm, and a = 60 mm. Deter- (2) (2) %3D mine the maximum bending (1) a stresses produced in both the wooden beam and the aluminum b1 plates if a bending moment FIGURE 3 +6,000 N m is applied M2 %3D about the z axis. Assume that Ej = 12.5 GPa and E2 = 70 GPa.
Problem 2 The rigid bar is plnned at A and held by two flexible bars at E and C. The load P Is applled at B. The two flexible bars FE and DC each have a diameter of 1 In. The flexible bars are elastic- perfectly plastic with a yleld stress equal to 20 ksl and a yleld strain of 0.001. Determine the following: The load R, at first yleld and the corresponding deflection at B, &, The ultimate load Pu and the corresponding deflection du The permanent deflection and residual stresses in each rod if the ultimate load is removed Construct P - A curve showing yield, ultimate and permanent deformation o (ksi) 1 ft E F 1 ft1 ft 20 B P e (in./in.) 0.001 1 ft D 2 ft 1 ft A
3. Determine the stress in each of the two vertical rods if the temperature rises 50 °C after the load P=75 KN is applied. Neglect the deformation and mass of the horizontal bar AB. Use Ea = 75 GPa, as=23.0 um/m-°C, Aa = 850 mm2 Es = 210 GPa, as = 11.9 um/m-°C and As = 650 mm² . %3D %3D Steel Aluminum 3m 2.5m 3 m 3 m 3 m 75 KN
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
The compound shaft consists of a solid aluminum segment (1) and a hollow brass segment (2) that are connected at flange B and securely attached to rigid supports at A and C. Aluminum segment (1) has a diameter of 0.95 in., a length of L1 = 50 in., a shear modulus of 3800 ksi, and an allowable shear stress of 6.7 ksi. Brass segment (2) has an outside diameter of 0.85 in., a wall thickness of 0.13 in., a length of L2 = 38 in., a shear modulus of 6400 ksi, and an allowable shear stress of 8.0 ksi. Determine:(a) the allowable torque TB that can be applied to the compound shaft at flange B.(b) the magnitudes of the internal torques in segments (1) and (2).(c) the rotation angle of flange B (relative to support A) that is produced by the allowable torque TB.
Two steel rods are welded together (see figure);the seam is oriented at angle θ = 50°. The stresses onthe rotated element are σ x1 = 10 ksi, σy1 = -12 ksi,and τx1y1 = -5 ksi. Find the state of plane stress onthe element if it is rotated clockwise to align the x1axis with the longitudinal axis of the rods.
The pin-connected assembly consists of aluminum rods (1) and (2) and steel rod (3). The aluminum rods each have a diameter of 11 mm and an elastic modulus of E = 78 GPa. The steel rod has a diameter of 16 mm and an elastic modulus of E = 200 GPa. Assumea = 4.1 m, b= 1.2 m, and c= 1.2 m. What is the magnitude of load P that is necessary to displace point A 12 mm to the left? a (1) (3) A B (2) Answer: P = i kN
Load P is applied to joint D and the temperature increases by 50 °F. There are two steel (E = 29*10^6 psi; a = 6.5*10^-6/°F) AD and DC and a bronze (E = 16*10^6 psi; a = 9*10^-6/°F) BD with a length of 50 inches. Each bar is a 0.75 inch diameter. Find the deformation of every rod, the displacement at D, and the stress in each rod.
H.W 3 Two aluminum alloy plates (2) are attached to the sides of a wooden beam (1) as shown in Figure 3. mensions of the composite cross section are bj = 80 mm, d1 = dz 240 mm, b2 = 10 mm, d2 = The di- di %3D %3D 120 mm, and a = 60 mm. Deter- (2) (2) (1) mine the maximum bending stresses produced in both the wooden beam and the aluminum b1 plates if a bending moment M = +6,000 N m is applied about the z axis. Assume that E = 12.5 GPa and E2 = 70 GPa. FIGURE 3 %3D