5: Three bars of varying cross section are connected to each other and is subjected to...

5: Three bars of varying cross section are connected to each other and is subjected to an axial
force of 50 kN as shown in figure. The dimensions of the two outer bars are 40 mm x 40 mm and
length of the outer bars are measured to be the same. The middle bar is having circular cross
section and the length of the middle bar is 3 times more than that of the two outer bars. Stress in
the middle portion was observed to be 180 N/mm2 and the total extension of three bars is equal to
7.534 mm. Recommend a suitable value for the diameter of the middle bar and length of all three
sections, if the modulus of elasticity of the material is 80 x 105 N/cm2?
If all the three bars are made up of the same material and having modulus of rigidity of the
material equal to 320 tonnes/cm2, what will be the changes in lateral dimensions for all three
bars? Conclude the relationship between lateral strain and longitudinal strain based on your
findings.

Expert Solution

Since the figure is not provided, Hence with the avaliable question figure is drawn and questions are solved.

Total Solution is provided in 3 Pages.

I hope yoo are satisfied with the solution.

Ally Wells answered 9 months ago

An axial pull of 45 kN is applied on the three bars of varying cross section...

An axial pull of 45 kN is applied on the three bars of varying cross section and connected to each other as shown in figure. Two outer steel bars are of same length and diameter, but the middle bar made up of brass having cross sectional dimensions 20 mm x 20 mm. The length of the middle bar used was 4 times more than that of the two outer bars and stress in the two outer portion were found to...

A beam is subjected to equal bending moments M = 6.5 kip-ft, as shown. The cross-section...

A beam is subjected to equal bending moments M = 6.5 kip-ft, as shown. The cross-section of the beam is also shown. The top rectangular area (1) has cross-section dimensions b1 x d1, as shown, where b1 = 6.5 in. and d1 =1.50 in. The left and right rectangular legs (2) and (3) are of dimensions b2 x d2 as shown, where b2=0.75 in. and d2=6.0 in. Determine: (a) the centroid location, the moment of inertia about the z axis,...

A liquid (ρ = 1.65 g/cm3) flows through a horizontal pipe of varying cross section as...

A liquid (ρ = 1.65 g/cm3) flows through a horizontal pipe of varying cross section as in the figure below. In the first section, the cross-sectional area is 10.0 cm2, the flow speed is 281 cm/s, and the pressure is 1.20 105 Pa. In the second section, the cross-sectional area is 4.50 cm2. The flow within a horizontal tube is depicted by five lines. The tube extends from left to right, with the left end wider than the right end. The...

8. Three 6.6 kV, 12 MVA, 3-phase alternators are connected to a common bus bars. Each...

8. Three 6.6 kV, 12 MVA, 3-phase alternators are connected to a common bus bars. Each has reactance to positive sequence current of 15%. The reactance to negative and zero sequence current are 75% and 30% of the positive sequence value. If an earth fault occurs on one of bus bar, determine the fault current when one of the alternator neutral is earthed through a resistance of 0.25 ohm and the others are isolated. 9. Four identical alternators each rated...

Imagine that you have three graded index fiber cables which are connected to each other in...

Imagine that you have three graded index fiber cables which are connected to each other in series. The refractive indices of the core/clad for each fiber is 1.57/1.50, 1.68/1.46 and 1.77/1.68, and the lengths of the fibers are 5, 8, and 2 km, respectively. What are the time dispersion, maximum bit-rate and frequency bandwidth of each fiber?

Three 1.0-L flasks, maintained at 308 K, are connected to each other with stopcocks. Initially the...

Three 1.0-L flasks, maintained at 308 K, are connected to each other with stopcocks. Initially the stopcocks are closed. One of the flasks contains 1.9 atm of N2, the second 2.8 g of H2O, and the third, 0.70 g of ethanol, C2H6O. The vapor pressure of H2O at 308 K is 42 mmHgand that of ethanol is 102 mmHg. The stopcocks are then opened and the contents mix freely. What is the Pressure? Express your answer to two significant figures.

For three shapes of cross-section, A, B and C, such that the respective shape factors are...

For three shapes of cross-section, A, B and C, such that the respective shape factors are kA > kB > kC, identify which statement is true for moment capacity: Select one: Shape C is most efficient Shape A is most efficient None All three shapes are equally efficient

How are evolution, ecology, and biological diversity connected to each other?

Consider that you have two blocks and they are connected to each other with a spring....

Consider that you have two blocks and they are connected to each other with a spring. Block AA has mass 1.00 kgkg, and block BB has mass 3.00 kgkg. The blocks are compressed with a spring SS between them; then the system is released from rest on a level, frictionless surface. The spring, which has negligible mass, is not fastened to either block and drops to the surface after it has expanded. The spring has force constant 720 N/mN/m and is...

Two cylinders of oxygen are connected to each other by a valve. The first tank is...

Two cylinders of oxygen are connected to each other by a valve. The first tank is 50 liters in volume and contains oxygen at 27 °C and a pressure of 140.37 kPa, and the corresponding values for the other tank are 30 liters, 89 °C and 62.73 kPa. If the valve connecting the tanks is opened and the tanks are allowed to reach some equilibrium condition with the temperature being 50 °C. Answer the following: (a) the equilibrium pressure, (b)...

Question