A rigid beam is subjected to a linearly distributed load and is supported by three bars, as shown in Fig. 4. Bars AB and EF are made of steel and bar CD is made of aluminum. The cross-sectional areas are 1000 mm² for the steel bars and 450 mm² for the aluminum bar. Assuming that all the bars remain elastic, find the range of q to satisfy both the following conditions: The elongation of the aluminum bar should not exceed 5 mm The minimum elongation of the steel bars should be greater than 2 mm. The moduli of elasticity are given as: Est = 200 GPa, Eal = 70 GPa

A rigid beam is subjected to a linearly distributed load and is supported by three bars, as shown in Fig. 4. Bars AB and EF are made of steel and bar CD is made of aluminum. The cross-sectional areas are 1000 mm² for the steel bars and 450 mm² for the aluminum bar. Assuming that all the bars remain elastic, find the range of q to satisfy both the following conditions: The elongation of the aluminum bar should not exceed 5 mm The minimum elongation of the steel bars should be greater than 2 mm. The moduli of elasticity are given as: Est = 200 GPa, Eal = 70 GPa

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: cylindrical rod subjected to an uniaxial tensile load P as shown, given P = 800 (N), the original…

A: The cylindrical rod with 8 mm diameter and 60 mm length is subjected to an uniaxial tensile load of…

Q: A member is formed by connecting two steel bars shown below. Assuming that the bars are prevented…

A: Given Data: The decrease in total length is, δH= -0.68 mm. The elastic modulus of steel is, E=206…

Q: Find the final length of the bar of an aluminum alloy with a modulus of elasticity of 68.8 GPa,…

Q: 9. A long, thin plate of width b, thickness t, and length L is placed between two rigid walls a…

A: Step 1: Step 2: Step 3: Step 4:

Q: The figure below shown that the three bars are supported a rigid beam ACE. ar CD is made of steel…

A: Given data, d= diameter of each bar =10 mm σAl=allowable stress for aluminum=120 MPa σsteel=…

Q: The rigid beam is supported a pin connection at A and a cable BD at point the. Diameter of pin at A…

A: Note: As per our guidelines we are supposed to answer only the first 3 sub-parts. Kindly repost…

Q: For the rigid bar (AB) and rod (BC) system, the normal stress in rod BC can't exceed 30 ksi. The…

Q: Deformation due to an axial loading is given by the expression: PL AE i. Using Hooke's law and the…

Q: (1) A cantilever steel beam with the triangular cross section is loaded with the concentrated force…

A: Given:To find:Stress state at point M.

Concept explainers

Thermal Properties of Materials

In mechanical engineering, the thermal property is represented as the physical quantity that is relevant to the application of heat. The thermal properties are evaluated by variations in any specific material due to low heat or high heat. The quantities that influence the thermal property of the materials are mass, density, temperature, and many others.

Question

A rigid beam is subjected to a linearly distributed load and is supported by three bars, as shown in
Fig. 4. Bars AB and EF are made of steel and bar CD is made of aluminum. The cross-sectional
areas are 1000 mm² for the steel bars and 450 mm² for the aluminum bar.
Assuming that all the bars remain elastic, find the range of q to satisfy both the following
conditions:
-
-
The elongation of the aluminum bar should not exceed 5 mm
The minimum elongation of the steel bars should be greater than 2 mm.
The moduli of elasticity are given as: Est = 200 GPa, Eal = 70 GPa
st
E
F
2.0 m
al
C
D
2.0 m
st
B
3.0 m
A
q

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step 5

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Types of Properties of Engineering Materials

Learn more about

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

Similar questions

A bar ABC length L consists of two parts of equal lengths but different diameters.Segment AB has diameter dt=100 mm,and segment BC has diameter d2 = 60 mm.Both segments have a length B2=0.6 m.A longitudinal hole of diameter d is drilled through segment AB for one half of its length (distance L/4 = 0.3 m).The bar is made plastic having a module of elasticity E=4.0 GPa.Comprssive loads P = 110 KN act at the ends of the bar. (a) If the shortening of the bar is limited to 8.0 mm.What is the maximum allowable diameter dma of the hole? (see the figure part a.) (b) Now if daxx is instead set at p1/2 . at what distanc h from end c should load P be applied to limit the bar shortening to 8.0 mm?(see the figure part b) (c) Finally if loads t are applied at the ends and "mm is the permissible length.v of the hole if shortening is to be limited to 8.0 mm?(see the figure part c)
Please answer all parts of the question. Thank you so much
A simply supported beam carrying floor joist shown in Figure 6.22 is made of rectangular wood having a dimension of 50mm x 100mm. Compute the bending stress in tension and compression.
Q / The figure below shown that the three bars are supported a rigid beam ACE. The bar CD is made of steel and bars AB and EF are made of aluminum. If each bar has 10 mm diameter, find the maximum value of force F if the permissible stress for steel and aluminum are 190 MPa and 120 MPa respectively. Known the modulus of elasticity for steel and aluminum are 180 GPa and 60 GPa respectively (B F al st al 180 cm E 0.7 m 0.7 m 0.7 m 0.7 m F 2F
A solid homogeneous truss tie-rod has a diameter of 9.52 mm and an original length of 1.75 m experiences a stress of 600 MPa when placed under tension. If the material used for the truss tie-rod has a Young's Modulus, E, of 5.8 x 1011 N/m?, calculate: (i) the tie-rod's extension in millimetres (mm); (ii) the strain energy (U) in Joules; and (ii) the strain energy per unit volume (U/V) in Joules per cubic metre (m³). Give your answers to two decimal places.
The figure shown below
In Figure 1.2, the horizontal rigid beam ABCD is supported by vertical bars (1) and (2) and is loaded at points A and D by vertical forces P = 30 kN and Q = 40 kN, respectively. Assume that the dimensions a = 2.5 m, b = 2 m and c = 1.5 m. Determine the internal force of each bar. Answer: A a f₁ = 37.5 kN, f₂ = 32.5 KN L₁ B (1) b L₂ C (2) -X,U D
A simply supported reinforced concrete beam carries a uniformly distributed load of 12 kN/m on a span of 4 m. The beam has a rectangular cross section 250 mm wide by 450 mm deep, with three 20 mm diameter steel bars placed 60 mm from the bottom of the beam, as shown below. The moduli of elasticity for the concrete and steel are 15 GPa and 200 GPa, respectively. Determine the average tensile stress in the steel and the maximum compressive stress in the concrete at the section of maximum bending moment. 450 mm 250 mm 60 mm
The bar in the figure below is made from standard acrylic plastic (E = 2960 MPa). Compute the total change in length, δof the shaft due to the loadings shown.
L1 PB 2 E2 L2 D2 Dimensions: L2 L1 D2 D1 17 mm 18 cm 23 cm 15 mm Problem Statement: The rod shown is subjected to loads of PR = 112 kN and Pe = 18 kN. Segments AB and BC have elastic moduli of E, = 206 GPa and E = 73 GPa. The rod has circular cross-sections, and the dimensions of the rod are given above. Find the overall change in length of the rod under this load. Assume: • The collar at B is rigid • Stress concentration effects may be neglected 2014 Michael Swanbom
1. The rigid beam ABC is supported by the pin joint at A and the steel wire BD. The wire is 0.10 inches in diameter and 90 inches long before the load is applied. Find the stress in the wire, the change in length of the wire when the load is applied, and the diameter of the wire under the load. Use E = 30 X 106 psi and v = 0.35. ܢܢܢܢܢܢ A 60 in 120 in D B C 750 lb
4. A ball in a cylindrical inner race has a radius of 5mm. The radius from the center of the race to the bottom of the groove is 20mm. If a load of 1,500N is applied: A. Find the dimensions of the contact ellipse B. Find the maximum deformation *Esteel = 207MPA, Vsteel = 0.3