The shaft ABCD is bearing torques at pully A, B, C, and D as shown in the figure. The magnitude of the torques on each pully and the shaft length are given. All shafts are made of a material with a modulus of rigidity of G= 80 GPa. The diameter of shafts (1) and (2) is d₁ = d2 = 50 mm, and the diameter of shafts (3) and (4) is d3 d4 74 mm. The bearings shown allow the shaft to turn freely. [TA = 1293 N-m, TB=4528 N-m, Tc= 2674 N-m, TD = 561 N-m, a = 0.4 m, b = 0.45, c = 0.2 m, d = 0.3 m] 0 T. A T Determinethe internal torque in segment (3) of the shaft. Determinethe internal torque in segment (2) of the shaft. Determinethe internal torque in segment (1) of the shaft.

A beam is part of the framing system for the floor of an office building. The floor is subjected to both dead loads and live loads. The maximum moment caused by the service dead load is 45 ft-kips, and the maximum moment for the service live load is 63 ft-kips (these moments occur at the same location on the beam and can therefore be combined). a. If load and resistance factor design is used, determine the maximum factored bending moment (required moment strength). What is the controlling AISC load combination? b. What is the required nominal moment strength for a resistance factor of 0.90? c. If allowable strength design is used, determine the required moment strength. What is the controlling AISC lead combination? d. What is the required nominal moment strength for a safety factor of 1.67?

EB and FG are two planes inside a soil element ABCD as shown in Figure 10.50. Stress conditions on the two planes are Plane EB: EB = 25 kN/m2; EB = +10 kN/m2 Plane FG: FG = 10 kN/m2; FG = 5 kN/m2 (Note: Mohrs circle sign conventions for stresses are used above) Given ; = 25, determine: a. The maximum and minimum principal stresses b. The angle between the planes EB and FG c. The external stresses on planes AB and BC that would cause the above internal stresses on planes EB and FG

The data in Table 1.5.3 were obtained from a tensile test of a metal specimen with a rectangular cross section of 0.2011in.2 in area and a gage length (the length over which the elongation is measured) of 2.000 inches. The specimen was not loaded to failure. a. Generate a table of stress and strain values. b. Plot these values and draw a best-fit line to obtain a stress-strain curve. c. Determine the modulus of elasticity from the slope of the linear portion of the curve. d. Estimate the value of the proportional limit. e. Use the 0.2 offset method to determine the yield stress.

Compare the engineering and true secant elastic moduli for the natural rubber in Example Problem 6.2 at an engineering strain of 6.0. Assume that the deformation is all elastic.

A tensile test was performed on a metal specimen with a diameter of 1 2 inch and a gage length (the length over which the elongation is measured) of 4 inches. The dam were plotted on a load-displacement graph. P vs. L. A best-fit line was drawn through the points, and the slope of the straight-line portion was calculated to be P/L =1392 kips/in. What is the modulus of elasticity?

Verify the value of Zx for a W1850 that is tabulated in the dimensions and properties tables in Part 1 of the Manual.

A 9 ft wide and infinitely long flexible strip load of 800 lb/ft2 is placed on an elastic medium as shown in Figure P8.7. Find the vertical stress increase at points A, B, and C located 3 ft below the surface.

Compute the nominal shear strength of an M107.5 of A572 Grad 65 steel.

using Figure 5-27, what is the advantage of the suspended type magnet over the other two types of magnets?