A steel surveyor's tape is to be used to measure thelength of a line. The tape has a rectangular crosssection of 0.05 in. by 0.2 in, and a length of 100 ftwhen the temperature is T₁ = 60 deg F and thetension or pull on the tape is 20 lb. Determine thetrue length of the line if the tape shows the readingto be 463.25 ft when used with a pull of 35 lb at atemperature of T2 = 90 deg F. The ground on whichit is placed is flat.ast = 9.60(10-6)/°F, Est = 29,000 ksi.P0.2 in.0.05 in.P

Answered: Image /qna-images/answer/98f5877d-7c98-4c83-a707-b8e258f28c45.jpg

Answered: A steel surveyor's tape is to be used…

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

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The wires AB and AC are made of steel, and wire AD is made of copper. Before the 150-lb force is applied, AB and AC are each 60 in. long and AD is 40 in. long. If the temperature is increased by 80F, determine the force in each wire needed to support the load. Each wire has a cross-sectionalarea of 0.0123 in2. Take Est = 29(10 3) ksi, Ecu = 17(10 3) ksi, fast = 8(10 6)>F, acu = 9.60(10 -6)>F.
14. A commonly used method of fastening one part to another part iscalled “shrink fi tting.” A steel rod has a diameter of 2.0026 cm, and afl at plate contains a hole whose diameter is 2.0000 cm. The rod is cooledso that it just fi ts into the hole. When the rod warms up, the enormousthermal stress exerted by the plate holds the rod securely to the plate. Byhow many Celsius degrees should the rod be cooled?
In inserting an aluminum piston into a steel cylinder, it is given that the inside diameters of the cylinder and of the piston are 0.500 m and 0.4998 m, respectively, at 25OC. The temperature to which they are heated to obtain a perfect fit is 55.8 degrees celsius. Show the solution.
mechanics of deformable bodies The cylindrical tank has an outer radius of 1.5m and a wall thickness of 25 mm. If the tank is pressurized to 1.5 MPa, determine the longitudinal stress.
A cylindrical pressure vessel has an inner diameter of 4 ft and a thicknessof 1 2 in. Determine the maximum internal pressure it can sustain so that neither its circumferential nor its longitudinal stress component exceeds 20 ksi. Under the same conditions, what is the maximum internal pressure that a similar-size spherical vessel can sustain?
The cylinder CD of the assembly is heated from T1 = 30°C to T2 = 180°C using electrical resistance. Also, the two end rods AB and EF are heated from T1 = 30°C to T2 = 50°C. At the lower temperature T1 the gap between C and the rigid bar is 0.7 mm. Determine the force in rods AB and EF caused by the increase in temperature. Rods AB and EF are made of steel, and each has a cross-sectional area of 125 mm2. CD is made of aluminum and has a cross-sectional area of 375 mm2. Est = 200 GPa, Eal = 70 GPa, ast = 12(10-6)>°C, and aal = 23(10-6)>°C.
The central bar CD of the assembly is heated from 30 ° C to 180 ° C by means of an electrical resistance. Also the two bars AB and EF are heated from 30 ° C to 50 ° C. At the lower temperature of 30 ° C, the space between C and the rigid bar is 0.7 mm. Determine the force in bars AB and EF caused by the increase in temperature. Bars AB and EF are made of steel and each has a cross-sectional area of 125 mm ^ 2; CD is aluminum with a cross-sectional area of 375 mm ^ 2. Steel = 200GP; Ealuminum = 70 GPa; alpha steel = 12 X10 ^ -6 (1 / ºC); alpha aluminum = 23 X10 ^ -6 (1 / ° C).
Three bars each made of different materials are connected together and placed between two walls when the temperature is 20 ℃. Determine the force exerted on the (rigid) supports when the temperature becomes 30 ℃. The material properties and cross-sectional area of each bar are given in the figure.
he region of safety in maximum shear stress theory contains which of the given shape *
The inner ring A has an inner radius r1 and outer radius r2. The outer ring B has an inner radius r3 and an outer radius r4, and r2 7 r3. If the outer ring is heated and then fitted over the inner ring, determine the pressure between the two rings when ring B reaches the temperature of the inner ring. The material has a modulus of elasticity of E and a coefficient of thermal expansion of a.
shows two tubes, one of copper and another of steel of equal length and rigidly connected at their ends so that under all conditions they are of equal length. The copper tube has internal and external diameters of 100 mm and 125 mm respectively whilst the internal and external diameters of the steel tube are 75 mm and 100 mm respectively. If the original length of the tubes was 375 mm, for a temperature rise of 22o C calculate: 1 The stress set up in each tube; 2 The final length of the tubes. Assume: α copper = 18,7 x 10-6/ 0 C; E copper = 82 GPa α steel = 12,6 x 10-6/ 0 C; E steel = 207 GPa
The ring, with dimensions shown, is placed over a flexible membrane which is pumped up with a pressure p. The thickness r,-r; is small compared to r; (a) Determine the axial force F in the ring in terms of p, w and r;. Hint: Consider a FBD by cutting the ring+membrane in two. (b) Determine the hoop stress in the ring. (c) Determine the hoop strain in the ring. The modulus of elasticity for the ring is E. (d) Relate the hoop strain to the change in the inner radius of the ring after this pressure is applied, and use this to get the change in the inner radius in terms of p, E, w, r, and ri- (PLEASE ANSWER ASAP AND CORRECTLY)!

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