15.8 A solid, round simply supported steel shaft has a diameter of 25mm and a span length of 500mm. The shaft supports a concentrated load of 3kN at midspan. Calculate the maximum deflection of the shaft.
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- A vertebra is subjected to a sheering forcc of 500 M. Fincd shear defo rmations taking the rertebra to be a y m eylinder 3.00 € high and 400 am in aia meterA load of 2 kg produces an extension of 1 mm in a wire 3 m long and 0.1 cm in diameter. Find Y of the wire.You used a force of 200N to wrap a 40cm diameter wool into a 10cm long core. Find the force that the wool exerts on the core.
- Calculate the back extensor force (Fm) required to keep the trunk in the static position as shown. Calculate the bone compressive force acting on the lumbar vertebra. Calculate the bone shear force acting on the lumbar vertebra. The weight of the trunk (Wtrunk) is 500 N, and it has a moment arm of 0.10 m. The weight of the arms (Warms) is 50 N, and it has a moment arm of 0.50 m. The horizontal force from the wall (Fwall-x) is 25 N, and it has a moment arm of 0.25 m. The vertical force from the wall (Fwall-y) is 50 N, and it has a moment arm of 0.75 m. The weight of the backpack (Wpack) is 25 N, and it has a moment arm of 0.15 m. The back extensor muscle has a moment arm of 0.05 m.A 89 cm long wire was found to stretch 1.6 mm by a force of 117 N. The wire was round in the shape of diameter 8 mm. Calculate the Youn’g modulus of this wire.The boom of the wall crane 4m long is held at right angles to the wall by a wire that is attached to the wall 3m above the foot of the boom. If the load lifted is 45000N, find the tension in the wire and the compression force in the boom. Neglect the weight of the boom. Don't forget to draw an illustration.
- A non-uniform rod (an object that tapers on one end) is 3.0 m long and it ... 5.0 N. A 1.0-N load is suspended at the tip of the smaller end. If the weight is concentrated 1.70 m from the tip of the smaller end, how far from the bigger end of the rod shall it be balanced?A boom 20m long supports a load of 1000KN as shown. The cable BC is horizontal and 8m long. Solve forthe forces in the cable and the boom.В The 3-ft length of steel pipe (Et = 29 x 10° ksi) has a cross-sectional area of 2.0 in? and rests on the fixed support A. The 1-in.-diameter aluminum rod (Eal = 10 × 10° ksi) is fastened to a rigid plate B that sits atop the pipe. Determine the displacement of point C when the 3 ft load P = 20 kip is applied. Assume the materials are linear elastic. 2 ft C P
- If load B has a downward velocity vB, determine the upward component (vA), of the velocity of A in terms of b, the boom length l, and the angle 0. As- sume that the cable supporting A remains vertical. 1/2(1 + cos 0) Ans. (VA)y UB b tan 0 1, A b, y Вinoge The Fink truss is supported by a hinge at A and by rollers on a 1 to 2 slope at B. The bracing bars are normal to the inclined members at their midpoints. The wind loads are perpendicular to AC. Determine the resultant of the forces. 1580 Ib 3160 Ib 1580 Ib 12' В 8400 Ib 18.000 lb 72'During heavy lifting, a disk between spinal vertebrae is subjected to a 4750-N compression force. What us the created on the disk, in pascals, assuming that the disk has a uniform circular cross section 1.95 cm in radius? What deformation is produced, in centimeter, if disk is 0.95 cm thick and has a Young's modulus of 1.45x10^9 N/m^2?