A tensile load of 6 kN at 25 C was applied to a steel rod stretching between two rigid walls as shown in figure (2). If thea - 12.2 pm/(m-"C), E = 200 GPa, and the permissible stress does not exceed 150 MPa at -25 C.What is the minimum rod diameter?

A tensile load of 6 kN at 25 C was applied to a steel rod stretching between two rigid walls as shown in figure (2). If thea - 12.2 pm/(m-"C), E = 200 GPa, and the permissible stress does not exceed 150 MPa at -25 C.What is the minimum rod diameter?

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

Axial loads are applied with rigid bearing plates to the solid cylindrical rods shown in the figure. The diameter of aluminum rod (1) is 2.50 in., the diameter of brass rod (2) is 1.75 in., and the diameter of steel rod (3) is 3.00 in. Determine the axial normal stress in each of the three rods. Assume P = 5 kips, Q = 3 kips, R = 13 kips and 5 = 24 kips. The normal stress is positive if tensile and negative if compressive. σ₁ = Answers: 0₂ = (1) 03 = (2) i i A Q B C D ksi ksi ksi
Consider a one-element triangular mesh shown in Figure 2. The edge AC is fixed. The edge BC is subject to lin- early varying traction normal to the edge as shown in Figure 2. Assume plane-stress conditions with thickness 1 = 1 cm and Young's modulus E = 70 GPa and Poisson's ratio v = 0.3. 150 kN/m 50 kN/m C (0,0.3) B (0.4,0.3) a) Specify the boundary condi- tions. b) Construct the stiffness matrix. A (0,0) c) Calculate the global force ma- Figure 2: Triangular element. All coordinates are in meters. trix. d) Solve for the unknown displace- ments and compute the stress at (0.1, 0.2).
Axial loads are applied with rigid bearing plates to the solid cylindrical rods shown in the figure. One load of P=33P=33 kipskips is applied to the assembly at A, two loads of Q=30Q=30 kipskips are applied at B, and two loads of R=35R=35 kipskips are applied at C. The normal stress magnitude in aluminum rod (1) must be limited to 1717 ksiksi. The normal stress magnitude in steel rod (2) must be limited to 3030 ksiksi. The normal stress magnitude in brass rod (3) must be limited to 2121 ksiksi. Determine the minimum diameter required for each of the three rods.
Determine the maximum axial force that can be applied to the bar shown in Figure 3. The allowable stress is 100 MPa. The dimensions are: Hole diameter 20 mm. Thickness of bar: 6 mm D = 40 mm d%3D20mm Fillet radius, r = 4 mm 40mm 20 mm r 4 mm 20 mm Figure 3 P.
Q.3. The bronze bar 3 m long with a cross-sectional area of 350 mm2 is placed between two rigid walls. At a temperature of -20 °C, there is a gap A 2.2 mm, as shown in Figure (3). Find the temperature at which the compressive stress in the bar will be 30 MPa. Use a = 18 x 10/°C and E 80 GPa. 0.4. For the beam shown in Fiqune (4)
Two cylindrical copper alloy bars have the same length L, but different shapes, as can be seen in the figure. The two bars are subjected to the same axial load P. Use the following numerical data: P = 1400 kN, L = 5 m, d = 80 mm, E = 110 GPa, and ν = 0.33. (a) Find the change in length of each bar. (b) Find the change in volume of each bar.
Two round solid bars of different materials are connected in series against rigid supports as shown in Figure 4. Determine the stress in each bar and the support reactions if temperature is increased by 18° C. Bar A da, EA, A Bar B dв, Ев, ав LA LB Figure 4 Use the following information. Bar, B: Length, LB Diameter, dB Poisson's Ratio Young's Modulus EB = 210 kN/mm2 Coefficient of expansion aB = 12.4x106 °C- Bar, A: Length, LA Diameter, dA = 25mm =D40 mm = 10 mm 30 mm S. = 0.28 =D0.32 = 70 kN/mm² Coefficient of expansion aa = 16.5x10-6 °C-I Poisson's Ratio %3D Young's Modulus EA
The steel bar has the original dimensions shown in the figure with b c%=222 mm. If it is subjected to an axial load P 350 mm and C = 33 kN, what is the change in its %3D length? Et 200 GPa. P- O 0.128 mm O 0.0925 mm O 0.0564 mm O 0.0571 mm
An aluminum right-circular cylinder surrounds a steel cylinder as shown in the figure. The axial compressive load of 200 kN is applied through the rigid cover plate shown. If the aluminum cylinder is originally 0.25 mm longer than the steel before any load is applied, find the normal stress in each when the temperature has dropped 20 K and the entire load is acting. For steel take E = 200 GPa, ? = 12 × 10–6 /°C, and for aluminum assume E = 70 GPa, ? = 25 × 10–6 /°C.
Brass Problem 3: A composite bar is made by attaching a copper rod of length 900 mm and diameter 30 mm and a brass rod of length 600 mm and diameter 45 mm as shown. A load of 20 kN is applied at 20°C. For unyielding supports, find the stresses in the materials when the temperature rises to 50°C. For copper, E = 120 GPa and a = 18 x 10-6 °C. For brass, E = 90 GPa and a = 20 x 106 °C. Copper 20 kN 900 mm 600 mm
A rod is composed of of aluminum and steel section as shown in the figure. If an axial load of 20 kN and the modulus of elasticity for steel and aluminum is 210 GPa and 70 GPa respectively, find the elongation in the steel rod. ... Aluminium, 300mm2 Steel, 200mm? F 3m 2m A 0.48 mm B 2.86 mm 1.43 mm 0.96 mm