QI Figure Q1 shows a composite rod ABC attached in between two rigid walls. Part AB is a solid rod made from Aluminium (E = 70 GPa), while part BC is a hollow cylindrical rod made from steel (E = 200 GPa). The diameter of part AB and the internal and external diameters of part BC are as shown in figure. A 40 kN force is applied at B in the direction as shown. If the compound rod is unstressed before the application of load, determine the reaction at A and C. (а) (b) determine the horizontal displacement of point B. 40 40 A B wall 40 kN wal Ø11.5 Ø15 07.5 All lengths are in mm.

QI Figure Q1 shows a composite rod ABC attached in between two rigid walls. Part AB is a solid rod made from Aluminium (E = 70 GPa), while part BC is a hollow cylindrical rod made from steel (E = 200 GPa). The diameter of part AB and the internal and external diameters of part BC are as shown in figure. A 40 kN force is applied at B in the direction as shown. If the compound rod is unstressed before the application of load, determine the reaction at A and C. (а) (b) determine the horizontal displacement of point B. 40 40 A B wall 40 kN wal Ø11.5 Ø15 07.5 All lengths are in mm.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: The nut on a bolt is tightened by applying a force of P = 22 Ib to the end of a wrench at a distance…

A: The given figure is shown below:

Q: 1

A: Given data:- Moment about a horizontal axis on the cross section is 0.80 kN-m

Q: A diagram shows how the neutral surface of the structure changes shape under a given loading…

Q: 9. Calculate the increase in stress for each segment of the compound bar shown. If the temperature…

A: Given:- The cross-sectional area of the aluminum bar = Aal = 2 in2 The modulus of elasticity of the…

Q: 2.23. An aluminum right-circular cylinder surrounds a steel cylinder as shown in Fig. 2-40. The…

A: Summary:-So the stress is 9MPAExplanation:

Q: The rigid bar AC is pinned at A and attached to bars DB and CE as shown in the figure. The weight of…

Q: A 200 kN force is applied at the free end of the cantilever beam as shown in the figure below. What…

Q: Two solid cylindrical rods are joined at B and loaded as shown in the figure. Rod AB is made of…

Q: DEFORMATION DUE TO AXIAL FORCES PROBLEM 1: CE Brd Exam The rigid block shown weighs 176.4 «N. It is…

Q: A rod is composed of an aluminum section rigidly attached between steel and bronze sections, as…

A: σ=PA ----( 1 ) here σ is stress , A is cross sectional area and P is force applied Calculate σst…

Q: A hollow aluminum tube used is a roof structure has an outside diameter d2 and inside diameter d1.…

A: (a) Calculate angle of twist (b) Diameter d for solid shaft

Q: An aluminum-alloy block (E = 70 GPa) is loaded as shown in the diagram below. The %3D application of…

A: The magnitude of the frictional force is the applied force. If the block was accelerating, then you…

Concept explainers

System of Forces

A force is an external influence or agent that changes the state of a system. According to Newton's second law, the force applied to a body is proportional to the change in momentum of a body. Hence, whenever a force is applied to a body, its momentum changes. If the body is at rest, under the action of force, its state of rest changes to motion. In other words, the magnitude of the momentum of the body changes from zero to a measurable value. Similarly, if the body possesses some initial velocity, it has some associated momentum, the effect of force can cause the body to halt or come to rest, that is, the momentum reduces to zero.

Question

Q1
Figure Q1 shows a composite rod ABC attached in between two rigid walls. Part AB is a solid rod made
from Aluminium (E = 70 GPa), while part BC is a hollow cylindrical rod made from steel (E = 200 GPa).
The diameter of part AB and the internal and external diameters of part BC are as shown in figure. A 40
kN force is applied at B in the direction as shown. If the compound rod is unstressed before the
application of load,
determine the reaction at A and C.
(a)
(b)
determine the horizontal displacement of point B.
40
40
A
B
wall
wll
40 kN
Ø11.5
Ø15
07.5
All lengths are in mm.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

The rigid bar BDE is supported by two links AB and CD. Link AB is made of aluminum (E = 70 GPa) and has a cross-sectional area of 519 mm2; link CE is made of steel (E = 200 GPa) and has a cross-sectional area of 619 mm?. For the 41 kN force shown, determine the deflection of B (mm) *deflection should have a negative sign if compression and positive if tension. Also, your final answer should have two decimal places 04 m 0.3 m E 0.4 m 0.2 m
SOLVE
The rigid bar AB, attached to two vertical rods as shown in Fig. is horizontal before the load P is applied. Determine the maximum value for P If the stress must not exceed: 160 MPa for steel and 80 MPa for Bronze. Then determine the vertical movement of P. BRONZE L-5 m A 500 mm E-80 GPa STEEL L-4 m A-400 mm E-200 GPa 3 m. 5 m. VP
Q.3)A rigid bar DAB is supported by two circular rods and a pin as shown below. The member at D is an aluminum (E = 70 GPa) rod, and the member BC is a steel (E = 200 GPa) rod. The diameter of the aluminum rod is 10 mm and that of the steel rod is 5 mm. Calculate the average normal stresses in the steel and aluminum rods due to the applied load of 650 N. Also, determine the rotation of the rigid bar DAB about the pin A, and the horizontal displacement of point D. 200 mm A B 150 mm 100 mm 150 mm 650 N DI 50 mm
Q3: Three rods are connected and placed between rigid supports at A and D, as shown in Figure. The bars are initially unstressed at 20°C. After the temperature has been increased to 100°C, determine: (a) the normal stresses in the three rods, (b) the reactions at the supports, and (c) the displacements of points B and C relative to support A. Aluminum (1) A₁ = 1,200 mm² Cast Iron (2) Bronze (3) A₂ = 2,800 mm² A3 = 800 mm² E₁ = 70 GPa E₂ =155 GPa E3 = 100 GPa a₁ = 22.5 x 10-6°C a2 = 13.5 x 10 °C a3 = 17.0 × 10-6°C A Aluminum (1) Cast iron (2) Bronze (3) B C D 440 mm 200 mm 320 mm □ O ▷
3. The rigid bar AC is pinned at A and attached to bars DB and CE as shown in the figure. The weight of AC is 50 kN and the weights of the other two bars are negligible. Consider the temperature of both bars DB and CE to be raised 35°C. Find the resulting normal stresses in these two bars. DB is copper for which E = 90 GPa, ? = 18 × 10–6 /°C, and the crosssectional area is 1000 mm2 , while CE is steel for which E = 200 GPa, ? = 12 × 10–6 /°C, and the cross section is 500 mm2 . Neglect any possibility of lateral buckling of the bars.
Please explain all question and draw diagram
SS. Beam-
The rigid bar BDE is supported by two rods AB and CD. Rod AB is made of aluminum (Eal = 70 GPa) and has a cross-sectional area of AAB= 400 mm2; Rod CD is made of steel (Esteel = 200 GPa) and has a cross-sectional area of ACD = 500 mm2. The load P = 31 kN is applied at point E as shown in the figure. [LAB = 0.3 m, LCD = 0.4 m, a = 0.2 m, b = 0.4 m] Determine the internal force of rod AB?KN Determine the displacement of point B?in mm Determine the displacement of point E?
Q2: The pin-connected structure shown in figure below consists of a rigid beam ABCD and two supporting bars. Bar (1) is a bronze alloy [E= 105 GPa] with a cross-sectional area of A1= 290 mm2. Bar (2) is an aluminum alloy [E=70 GPa] with a cross-sectional area of A2= 650 mm?. If a load of P= 30 kN is applied at B, determine: (a) the normal stresses in both bars (1) and.(2) (b) the downward deflection of point B on the rigid bar. (1) 2250 mm 670 mm 480 mm 650 mm 1600 mm P = 30 kN
The assembly shown in figure below consists of a light rigid bar AB, pinned at O, that is attached to the steel and aluminum rods. In the position shown, bar AB is horizontal and there is a gap, A = 5 mm, between the lower end of the steel rod and its pin support at C. Compute the stress in the aluminum rod when the lower end of the steel rod is touch to its support. A 0.75 m Steel A = 250 mm E = 200 GPa *i* O 1.5 m Aluminum L = 2m A = 300 mm' E = 70 GPa B D
x=8