50 kNA2. Two solid cylindrical rods are joined at B and loaded asshown. Rod AB is made of steel (E = 200 GPa) and rod BCof brass (E = 105 GPa). Determinea. the deformation of rod AB-30 mm250 mmb. the deformation of rod BC75 kNc. the total deformation of the composite rod ABCd. the deflection of point B.B300 mm-50 mmC

Answered: Image /qna-images/answer/f3b1805b-d786-4f26-b491-dc224934d0f5.jpg

Answered: 50 kN A 2. Two solid cylindrical rods…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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The rigid bar ABCD supports point loads at A and D and is being supported by two bars at B and C. Determine the absolute value of the deformation at point C. (in mm) 120KN 4m Sm A B L= 6m 9o kN L-4m A= 0.04 m A = 0.0 6m² E=200 GAa E=80 GPa
TWO SOLID CYLINDRICAL RODS ARE JOINED AT B AND LOADED AS SHOWN. ROD AB IS MADE OF STEEL (E = 210 GPa) AND ROD BC OF BRASS (E = 108 GPa). DETERMINE (A) THE TOTAL DEFORMATION OF THE COMPOSITE ROD ABC, (B) THE DEFLECTION OF POINT B. 40 KN 400 mm 600 mm A B C 30 mm 50 KN 50 mm
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3. The rigid bar ABC is pinned at B and attached to the two vertical rods. Initially, the bar is horizontal and the vertical rods are stress-free. Determine the stress in the steel rod if the temperature of the both rods is decreased by 30°C. Neglect the weight of bar ABC. Steel L=0.9 m A 300 mm E= 200 x 10 N/m' a= 11.7 um/(m C) Aluminum L=1.2 m A = 1200 mm E = 70 x 10 N/m a= 23 pum/(m "C) Answer: Ost B 0.6 m 1.2 m
d(mm)=65 T(nm)=1500 Gst(Gpa)=70
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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
The following composite shaft is loaded as shown in the figure. The AC segment of the shaft is solid; it is connected to the hollow shaft CD with the help of a rigid flange at C. A torque of 100 Nm is applied at B, as shown. A uniformly distributed torque of 200 Nm/m is applied over the entire length of CD (2m), also shown in the figure. Please ignore the thickness of the rigid flange at C. Given: GAC = 140 GPa, diameter of AC = 20 mm. GCD = 200 GPa, inner diameter of AC = 40 mm, outer diameter of AC = 50 mm. a. Determine the absolute maximum shear stress on the shaft. Specify where it occurs along the length of the shaft and on the circumference of the shaft. Draw the state of stress on a volume element corresponding to the maximum absolute shear stress location. Show proper perspective when drawing the state of stress. b. Determine the absolute maximum shear strain on the shaft. Specify where it occurs along the length of the shaft and on the circumference of the shaft. Be careful…
A magnesium-alloy rod (E = 6.5 x 10 ksi) of Prob. 3.4-6. diameter d 1 in. is encased by a brass tube (E 15 x 10 ksi) with outer diameter d. = 1.5 in.; both have length. L = 20 in. An axial load P = 10 kips is applied to the resulting bimetallic rod. (a) Determine the normal stresses and , in each material, assuming that the magnesium rod and brass tube are securely bonded to each other. (b) Determine the elongation of the bimetallic rod. P
A magnesium-alloy rod (E = 6.5 x 10 ksi) of Prob. 3.4-6. diameter d 1 in. is encased by a brass tube (E 15 x 10 ksi) with outer diameter d, = 1.5 in.; both have length L = 20 in. An axial load P = 10 kips is applied to the resulting bimetallic rod. (a) Determine the normal stresses and , in each material, assuming that the magnesium rod and brass tube are securely bonded to each other. (b) Determine the elongation of the bimetallic rod. P

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