Mechanical Engineering Answers

Steam turbine is receiving 1,073 lb/hr of steam, determine the kW output of the turbine if the work done by steam is 2,121 BTU/lb.

The throat and exit area of a convergent divergent nozzle in a wind tunnel are 4 cm and 10 cm respectively. The reservoir conditions are 10 bar and 95°C. Find out the Mach number, pressure and temperature of the air at the test section. Also find the mass flow rate.

A perfect gas having c_P = 1017.4 J/kg-K and m = 28.97 flows adiabatically in a converging passage with a mass flow rate m = 29.188 kg/s. At a particular cross section, M = 0.6, T = 550 K, and P = 2.0 middot 10^5 N/m^2. Calculate the area of the cross-section of the passage at that point.

For the rectangular element considered in Problem 10.52 and Fig. 10.35, find the element nodal force vector when a

concentrated (point) load, with Px0 ¼ 100 N and Py0 ¼ 500 N, act at the point (x0 ¼ 4 cm, y0 ¼ 5 cm). Perform the

needed integration by evaluating the integrand at the centroid of the element and treating the integrand as a constant

throughout the element.

For the rectangular element considered in Problem 10.52 and Fig. 10.35, find the element nodal force vector due to

distributed body force given by fx0 ¼ 0 and fy0 ¼ erg where r is the density of the material and g is the acceleration

due to gravity. Assume the value of r as 2800 kg/m3 and g ¼ 981 m/s2

. Perform the needed integration by evaluating

the integrand at the centroid of the element and treating the integrand as a constant throughout the element

For the rectangular element considered in Problem 10.52 and Fig. 10.35, find the element nodal force vector due to

uniform surface tractions, with Fx0 ¼ 1000 Pa and Fy0 ¼ 500 Pa, applied on the edge (face) ij. Perform the

needed integration by evaluating the integrand at the centroid of the element and treating the integrand as a constant

throughout the element.

For the rectangular element considered in Problem 10.52 and Fig. 10.35, find the element nodal force vector due to

an increase in the temperature of the element by 50 C. Perform the needed integration by evaluating the integrand

at the centroid of the element and treating the integrand as a constant throughout the element. Assume a plane stress

condition for the element

For the element described in Problem 10.36, determine the element nodal force vector as a result of the following prestress: sxx0 ¼ 800 psi, syy0 ¼ 500 psi, and sxy0 ¼ 750 psi. Assume the element to be in a state of plane strain. (take any triangular element or write formula only).

For the element described in Problem 10.36, determine the element nodal force vector as a result of the following prestress: sxx0 ¼ 800 psi, syy0 ¼ 500 psi, and sxy0 ¼ 750 psi. Assume the element to be in a state of plane stress. (take any triangular element or write the formula only).

Consider a rectangular element in plane stress state with the geometry shown in Fig. 10.35. The element is made of aluminum with E ¼ 71.0 GPa and v ¼ 0.33 and has a thickness of 0.2 cm. Using the [B] matrix given in Problem 10.12 and the [D] matrix given in Eq. (10.15), find the element stiffness matrix using the relation