Chapter 11, Problem 3P

Problem 1 = = = 13,600 Manometers can be used in combination with cardiovascular catheters to measure blood pressure based on height differences. In the example in Figure 1, the manometer contains two fluids: water (density p 995 Kg/m³) and mercury (density pm Kg/m³). The density of blood is p 1,060 Kg/m³. Assume that there is atmospheric pressure at the interface between mercury and air. The interface between mercury and water is at z₁ = 7 cm, the interface between water and blood is at Z2 27 cm, and the tip of the manometer at za 10 cm. Recall that the fluid statics equation is dp/dz-pg 0, when the z axis is taken pointing downwards. a. What is the gauge pressure po at the interface with air, in mmHg? (5 points) b. Calculate the gauge pressure ps at the tip of the manometer, in mmHg. (5 points) N Z37 blood ப Zz Water Mercury Zo 3=0 z Figure 1. Manometer for blood pressure measurement.

Determine the following for the beam with unknown loading, using the Shear and Bending Diagrams provided in the figures on the right: a. The maximum shear stress experienced by the beam. b. The maximum flexural stress experienced by the beam (Indicate if this is tensile or compressive flexural stress) c. The loading diagram (Indicate the magnitudes of the loading/s. The loads are acting along the plane of symmetry of the section) 20 80 20 十十 SHEAR DIAGRAM x=577.3502692 mm 20 KN 1° 5/3 KN 2° C 2° D A B CROSS SECTION Dimensions are in mm LOADING DIAGRAM ? 120 40 40 A B C D 1000mm 2000mm 1000mm -55/3 KN MB' C D BENDING DIAGRAM MB A B Σ Mc

Find the maximum bending stress in ksi for this beam if it is made from a W16x50 steel shape. If the steel yields at 50 ksi, will the beam support the loads shown without permanently deforming? Confirm the max moment in the beam by drawing the shear and moment diagram. 18 kip-ft 2 kip/ft 9 ft