P5.2 A rectangular bar of length L has a slot in the central half of its length, as shown in Figure P5,2. The bar has width b, thickness t, and elastic modulus E. The slot has width b/3. If L = 400 mm, b = 45 mm, t = 8 mm, and E = 72 GPa, determine the overall elongation of the bar for an axial force of P = 18 kN.

P5.2 A rectangular bar of length L has a slot in the central half of its length, as shown in Figure P5,2. The bar has width b, thickness t, and elastic modulus E. The slot has width b/3. If L = 400 mm, b = 45 mm, t = 8 mm, and E = 72 GPa, determine the overall elongation of the bar for an axial force of P = 18 kN.

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

Similar questions

An overhead crane can be modelled as the beam system shown in Figure Q3. The beam of length L = 2.6 m is made of steel with Young's modulus, E = 202.4 x 10⁹ N/m². The second moment of area of the beam 1 = 3.7 x 10-4 m4. The stiffness of the spring, k₁ = 6.2 x 10³ N/m. The mass due to the load being lifted, m₁ = 3.4 x 10² kg. The beam mass is negligible compared with the load. You are required to find the equivalent stiffness of the beam, and then as your answer, to find the natural frequency of the system in Hz. Fill this answer in the box below. (Express your answer to 2dp) Flg. Q3 Answer: m₁ k₁
P4.9 In Figure P4.9, rigid beam AB is subjected to a distributed load that increases linearly from zero to a maximum intensity of wg = 17.5 kN/m. Beam AB is supported by a single-shear pin connection at joint A and by a double-shear connection to member (1) at joint B. Member (1) is connected to the support at C with a double-shear pin connection. Use dimensions of a = 2.8 m, b = 1.0 m, and c = 1.2 m. FIGURE P4.9. (a) The yield strength of member (1) is 340 MPa. A factor of safety of 1.67 with respect to the yield strength is required for the normal stress of member (1). Determine the minimum cross-sectional area required for member (1). (b) The ultimate shear strength of the material used for pins A, B, and Cis 270 MPa. A factor of safety of 2.50 with respect to the ultimate shear strength is required for the pins, and all three pins are to have the same diameter. Determine the minimum pin diameter that may be used.
A hollow circular pole 3 m high is fixed at the base. It is 6mm thick and its outside diameter is 300mm. The pole is subjected to a torque and a lateral force at the free end. Given: Torque, T = 25 kN-m Lateral Force, N = 3 kN Shear Modulus of Elasticity = 78 GPa Allowable Shear Stress = 60 MPa 1. What is the maximum shear stress (MPa) at the outside surface of the pole due to the torque, T? 2. What is the angle of twist (degree) due to the torque? 3. Find the maximum flexural stress (MPa) at the base of the pole due to the lateral force.
An overhead crane can be modelled as the beam system shown in Figure Q3. The beam of length L = 7.2 m is made of steel with Young's modulus, E = 183.7 x 10⁹ N/m². The second moment of area of the beam 1 = 5.4 x 10-4 m². The stiffness of the spring, k₁ = 1.9 x 10³ N/m. The mass due to the load being lifted, m₁ = 4.3 x 10² kg. The beam mass is negligible compared with the load. You are required to find the equivalent stiffness of the beam, and then as your answer, to find the natural frequency of the system in Hz. Fill this answer in the box below. (Express your answer to 2dp) Flg. Q3 Answer: 43.11 ww k₁
P5.6 As a machinist presses the handles of the compound-action bolt cutters, link AB carries a 7.5 kN force (Figure P5.6). If the link has a 14 × 4-mm rectangular cross section, calculate the tensile stress within it. 7.5 kN P B 7.5 kN
A truss, formed of two members, is subjected to a horizontal force P=2,600 lb applied at node 1 (as shown below). Suppose that the cross- sectional area and Young's modulus of both members are A=2.0 in² and E=40x106 psi, respectively. Determine the horizontal displacement of node 1 (in inch). Hint: round off your final answer to 5 decimal places; e.g. if your answer is 1.2345678, then rounding-off to 5 decimal places yields 1.23457 and that
Rigid bar ABC is supported by bronze rod (1) andstainless steel rod (2) as shown in Figure P5.43. A concentratedload P = 24 kips is applied to the free end of bronze rod (3).Determine the deflection of rod end D after the temperature ofall rods has increased by 130°F. Use the following dimensionsand properties:a = 3.5 ft, b = 6.5 ft.Rod (1): d1 = 1.00 in., L1 = 12 ft, E1 = 15,200 ksi,α1 = 12.20 × 10–6/°F.Rod (2): d2 = 0.75 in., L2 = 9 ft, E2 = 28,000 ksi,α2 = 9.60 × 10–6/°F.Rod (3): d3 = 1.25 in., L3 = 6 ft, E3 = 15,200 ksi,α3 = 12.20 × 10–6/°F.
Two flat bars loaded in tension by force P are spliced withthe use of two rectangular splice plates and two 0.375 in. diameterbolts as shown in Figure P4.3. Away from the connection, thebars have a width b = 0.625 in. and a thickness t = 0.25 in. The barsare made of polyethylene having an ultimate tensile strength of3,100 psi and an ultimate bearing strength of 2,000 psi. The boltsare made of nylon that has an ultimate shear strength of 4,000 psi.Determine the allowable load P for this connection if a safetyfactor of 3.5 is required. Consider tension and bearing in the barsand shear in the bolts. Disregard friction between the plates.
The L-shaped arm ABC shown in the Fig.3 lies in a vertical plane and pivots about a horizontal pin at A. The arm has constant cross-sectional area and total weight W.A vertical spring of stiffness k supports the arm at point B. Obtain a formula for the elongation of the spring due to the weight of the arm. Then use the following numerical data for calculating the value of spring elongation. (k= 20kN/m, b=300mm
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
A wooden beam is loaded by a concentrated load P=1000N and supported by boundary conditions shown in figure Q5(a). The cross-section of the beam is shown in Q5(b). Given that LAB=1600mm,LBC=3400,B0=10mm,B1=20mm, and H=230 mm,h0=150mm,h1=40mm, determine the following quantities below
4. The section of peripheral nerve in neck is under tension of force F=0.18N due to sudden movement that causes large deformation of the nerve. As shown in the below figure, the nerve consists of two structures: fascicles and epineurium with modulus of elasticity of Efascicles=Ef2=MPa and Eepineurium=Ee 0.5MPA. Note: you can model all three fascicles as one part with the cross section of Afascicles=A=3((200×10“)²)= 12 n x10*. Use compatibility condition (fascicles and epineurium deform together) b) Determine the deformation of the peripheral nerve (L=50mm). Note: make sure to include the entire solution including the internal forces in fascicles and/or epineurium. d) If the nerve can tolerate strain up to 0.2, determine if the nerve got injured or not due to this sudden movement Peripheral nerve Under tension AF 50mm Fascicles F 400μm Epineurium 400um 400µm Cross section of peripheral nerve 1000um (Answer: 8 9.4mm )