Determine the stress components acting on the inclined plane AB. Solve the problem using the method of equilibrium described in Sec. 9.1. 60 MPa 80 MPa 50 40 MPa B.

The post has a circular cross section of radius c. Determine the maximum radius e at which the load P can be applied so that no part of the post experiences a tensile stress. Neglect the weight of...

The internal loadings at a section of the beam are shown. Determine the in-plane principal stresses at point A. Also compute the maximum in-plane shear stress at this point. 20 mm 200 mm - 20 mm 20...

The beam has a rectangular cross section and is subjected to the loadings shown. Determine the principal stresses at point A and point B, which are located just to the left of the 20-kN load. Show...

Draw the three Mohrs circles that describe each of the following states of stress. 5 ksi 3 ksi 180 MPa 140 MPa (a) (b)

Draw the three Mohrs circles that describe the following state of stress. 300 psi 400 psi

Determine the wavelength of light emitted when an electron in a hydrogen atom makes a transition from an orbital in n = 5 to n = 4.

The rotor shaft of the helicopter is subjected to the tensile force and torque shown when the rotor blades provide the lifting force to suspend the helicopter at midair. If the shaft has a diameter...

Solve Prob. 23 with a = 10 ft. b = 5 ft. The floor system used in a school classroom consists of a 4-in. reinforced stone concrete slab. D.

Determine the horizontal and vertical components of reaction acting at the supports A and C. 2 m 4'm 30 kN| 2 m 50 kN 4m - 3 m- 3m 1.5 m '1.5 m

Determine the reactions at the smooth support A and the pin support B.The joint at C is fixed connected. 150 lb/ft -10 ft - 5 ft 60

Determine the horizontal and vertical components at A, B, and C. Assume the frame is pin connected at these points.The joints at D and E are fixed connected. 3 k/ft 6 ft 1.5 k/ft 10 ft -18 ft -18 ft-

Classify each of the structures as statically determinate, statically indeterminate, or unstable. If indeterminate, specify the degree of indeterminacy. a. b. c.

The cantilever footing is used to support a wall near its edge A so that it causes a uniform soil pressure under the footing. Determine the uniform distribution loads,w A and W B , measured in lb/ft...

Classify each of the following trusses as statically determinate, statically indeterminate, or unstable. If indeterminate, state its degree. a. b. c. d.

Determine the force in each member of the space truss. Indicate if the members are in tension or compression. 2 kN 4 kN 2 m 2 m

The trusses are pin connected and suspended from the parabolic cable. Determine the maximum force in the cable when the structure is subjected to the loading shown. E, 14 ft 6 ft K 16 ft G H B V4 k 5...

Draw the influence lines for (a) The moment at C, (b) The reaction at B, and (c) The shear at C. Assume A is pinned and Bis a roller. Solve this problem using he basic method of Sec. 61. IB 10 ft 10...

The tied three-hinged arch is subjected to the loading shown. Determine the components of reaction A and C, and the tension in the rod. 5 k 3 k 4 k B 15 ft -8 ft-10 ft--10 ft- 6 ftT 6 ft

Determine the tension in each cable segment and the distance y D . B 2 m 2 kN 3 m- -4 m - 5 m- 4 kN

Draw the influence lines for (a) The moment at C, (b) The reaction at B, and (c) The shear at C. Assume A is pinned and Bis a roller. Solve Prob. 61 using the Muller-Breslau principle. IB 10 ft 10...

Draw the shear and moment diagrams for each of the three members of the frame. Assume the frame is pin connected at B, C, and D and A is fixed. 6 k 3k 8 ft -8 ft- 8 ft 0.8 k/ft B 15 ft

Determine the shear and moment throughout the tapered beam as a function of x. | 8 kN/m B - 9 m

Determine the shear and moment in the beam as a function of x. 200 lb/ft 1200 lb - ft 10 ft - 800 lb

Determine the shear and moment in the beam as functions of x. Wo B /27

Determine the internal normal force, shear force, and bending moment at point D. Assume the reactions at the supports A and B are vertical. 1.5 kN/m 0.5 kN/m B 3 m -

Determine the internal normal force, shear force, and bending moment in the beam at points C and D. Assume the support at B is a roller. Point D is located just to the right of the 10-k load. 10 k 25...

A uniform live load of 2.8 kN/m and a single concentrated live force of 20 kN are placed on the floor beams. If the beams also support a uniform dead load of 700 N/m, determine (a) The maximum...

Draw the influence line for (a) The moment at B, (b) The shear at C, and (c) The vertical reaction at B. Solve Prob. 67 using the Muller-Breslau principle. 4 m 4 m 4 m 2.

Determine the absolute maximum shear in the beam due to the loading shown. 6 k 3k 2 k 4 k 5 ft 3 ft 3 ft 30 ft

Draw the influence line for the force in member BC of the bridge truss. Determine the maximum force (tension or compression) that can be developed in the member due to a 5-k truck having the wheel...

Determine the maximum positive moment at point C on the single girder caused by the moving load.

Determine the maximum moment at C caused by the moving load. 2400 lb 2 fi1 ft -15 ft -15 ft

Determine (approximately) the support reactions at Aand Bof the portal frame. Assume the supports are (a) Pinned, and (b) Fixed. 12 kN 6 m A 4 m

Determine (approximately) the internal moments at joints A and B of the frame. 3 kN/m 6 m +6m -8 m

Determine the slope and displacement at C. EI is constant. Use the conjugate-beam method. Mo = Pa a

Determine the slope and displacement at C. EI is constant. Use the moment-area theorems. Mo = Pa A B

At what distance a should the bearing supports at A and B be placed so that the displacement at the center of the shaft is equal to the deflection at its ends? The bearings exert only vertical...

Using the conjugate beam method determine the slope at B and deflection at B. EI is constant. 8 kN-m 4 m

Determine the equations of the elastic curve using the coordinates x 1 and x 2 , specify the slope and deflection at B. EI is constant. Thc A X2

Determine the equations of the elastic curve for the beam using the x 1 and x 2 coordinates. Specify the slope at A and the maximum deflection. EI is constant. B L-

Determine the vertical deflection at C. The cross-sectional area and moment of inertia of each segment is shown in the figure. Take E = 200 GPa. Assume A is a fixed support. Use the method of virtual...

Determine the slope and displacement at point A. Assume C is pinned. Using Castiglianos theorem. EI is constant. 6 kN/m 3 m

Determine the vertical displacement of joint D. Use the method of virtual work. AE is constant. Assume the members are pin connected at their ends. 500 lb 300 lb -3 ft -3 ft- 3 ft 600 lb

Draw the influence line for the moment at A. Plot numerical values at the peaks. Assume A is fixed and the support at B is a roller. EI is constant. 3 m 3 m

Draw the influence line for the reaction at C. Plot numerical values at the peaks. Assume A is a pin and Band Care rollers. EI is constant. Ic IB 6 m 6 m

The simply supported beam is subjected to the loading shown. Determine the deflection at its center C. EI is constant. 6 kip/ft 5 kip-ft A 8 ft- 8 ft

Determine the reactions at the supports A and B. EI is constant. A

Determine the moment at A,B,C and D, then draw the moment diagram for the beam. Assume the supports at A and D are fixed and B and C are rollers. EI is constant. 20 kN/m 5 m 5m

Determine the reactions at A and D. Assume the supports at A and D are fixed and B and C are fixed connected. EI is constant. 8k/ft 15 ft -24 ft-

Determine the moment at B, then draw the moment diagram for the beam. Assume the supports at A and C are rollers and B is a pin. EI is constant. 6 kN/m D B. -2 m 4 m 4 m

Determine the reactions at the supports. Assume is fixed and ¢ are rollers. EI is constant. 3 10 kN/m 4 2 -6 m 8 m

Solve the equations in Prob. A18 using the Gauss elimination method. Data From Prob. A-18 4x 1 + x 2 + x 3 = -1, -5x 1 + 4x 2 + 3x 3 = 4, x 1 - 2x 2 + x 3 = 2 Using the matrix equation x = A -1 C.

A cylindrical container is 150 mm in diameter and weighs 2.25 N when empty. When filled to a depth of 200 mm with a certain oil, it weighs 35.4 N. Calculate the specific gravity of the oil.

A rock has a specific gravity of 2.32 and a volume of 1.42 10 -4 m 3 . How much does it weigh?

A cylindrical container has a 6.0-in diameter and weighs 0.50 lb when empty. When filled to a depth of 8.0 in with a certain oil, it weighs 7.95 lb. Calculate the specific gravity of the oil.

State the standard units for kinematic viscosity in the SI system.

Are the results of the Saybolt viscometer tests considered to be direct measurements of viscosity?

A fluid has a kinematic viscosity of 55.3 mm 2 /s at 100F. Determine its equivalent viscosity in SUS at that temperature.

Calculate the kinetic energy in Nm of a 15-kg mass if it has a velocity of 1.20 m/s. The formula for kinetic energy is KE = mv 2 , where m = mass and v = velocity.

Calculate the mass of a body in g if it has a kinetic energy of 94.6 m Nm when moving at 2.25 m/s. The formula for kinetic energy is KE = mv 2 , where m = mass and v = velocity.

Using the data from Table 2.5, report the minimum, nominal, and maximum values for viscosity for ISO grades VG 10, VG 65, VG 220, and VG 1000. Kinematic Viscosity at 40C (cSt) or (mm2/s) Grade ISO VG...

A village of 75 people desires a tank to store a 3-day supply of water. If the average daily usage per person is 1.7 gal, determine the required size of the tank in cubic feet.

A rock has a specific gravity of 2.32 and a volume of 8.64 in 3 . How much does it weigh?

Glycerin has a specific gravity of 1.258. How much would 50 gal of glycerin weigh?

The distance from point B to point D in Figure P1.7 is 3.15 km while the distance from A to B is 3.45 km. What is the distance from A to D? Be sure to give the correct number of significant figures...

A person stretches a rope of length 55 m between the top of a building to the base of a tree 25 m away (Fig. P1.71). How tall is the building? Figure P1.71 ? -Rope +25 m|

A vector A(vector) has a magnitude of 15 (in some unspecified units) and makes an angle of 25 with the x axis, and a vector B(vector) has a magnitude of 25 and make an angle of 70 with the x axis....

Consider the pulse described in terms of its displacement at t = 0 by where C is a constant. Draw the wave profile. Write an expression for the wave, having a speed v in the negative x-direction, as...

It is possible to generate ultrasonic waves in crystals with wavelengths similar to those of light (5 10 -5 cm) but with lower frequencies (6 10 8 Hz). Compute the corresponding speed of such a...

Establish that where A, α, b, and c are all constant, is a solution of the differential wave equation. This is a Gaussian or bell-shaped function. What is its speed and direction of...

The person shown in Figure 2.1 (page 27) is pushing on a refrigerator that sits on a level floor. Assume the section of the floor underneath the refrigerator is very slippery so that the only...

In the drop zone. Consider a skydiver who jumps from an airplane. Suppose she waits for 1 min before opening her parachute and she lands 4 min after leaving the airplane. Draw qualitative plots of...

Using a graphical approach (i.e., by estimating the slope at various points), find the qualitative behavior of the acceleration as a function of time for the object described by the velocitytime...

Write the expression for computing the pressure in a fluid.

Define gage pressure.

The pressure in a certain tank is 55.8 Pa(abs). Are (or can be) true or false. For those that are false, explain why.

Require that you convert the given pressure from gage to absolute pressure or from absolute to gage pressure as indicated. The value of the atmospheric pressure is given. Given Pressure P atm Express...

Require that you convert the given pressure from gage to absolute pressure or from absolute to gage pressure as indicated. The value of the atmospheric pressure is given. Given Pressure P atm Express...

Require that you convert the given pressure from gage to absolute pressure or from absolute to gage pressure as indicated. The value of the atmospheric pressure is given. Given Pressure P atm Express...

Require that you convert the given pressure from gage to absolute pressure or from absolute to gage pressure as indicated. The value of the atmospheric pressure is given. Given Pressure P atm Express...

Require that you convert the given pressure from gage to absolute pressure or from absolute to gage pressure as indicated. The value of the atmospheric pressure is given. Given Pressure P atm Express...

Require that you convert the given pressure from gage to absolute pressure or from absolute to gage pressure as indicated. The value of the atmospheric pressure is given. Given Pressure P atm Express...

Require that you convert the given pressure from gage to absolute pressure or from absolute to gage pressure as indicated. The value of the atmospheric pressure is given. Given Pressure P atm Express...

Figure 3.22 represents an oil storage drum that is open to the atmosphere at the top. Some water was accidentally pumped into the tank and settled to the bottom as shown in the figure. Calculate the...

A storage drum for crude oil (sg = 0.89) is 32 ft deep and open at the top. Calculate the pressure at the bottom.

Describe the construction of a barometer.

Why is mercury a convenient fluid to use in a barometer?

If water were to be used instead of mercury in a barometer, how high would the water column be?

What is the barometric pressure reading in inches of mercury corresponding to 14.696 psia?

What is the barometric pressure reading in millimeters of mercury corresponding to 101.325 kPa(abs)?

Why must a barometric pressure reading be corrected for temperature?

By how much would the barometric pressure reading decrease from its sea-level value at an elevation of 1250 ft?

Denver, Colorado, is called the Mile-High City because it is located at an elevation of approximately 5200 ft. Assuming that the sea-level pressure is 101.3 kPa(abs), what would be the approximate...

The barometric pressure is reported to be 28.6 in of mercury. Calculate the atmospheric pressure in psia.

A barometer indicates the atmospheric pressure to be 30.65 in of mercury. Calculate the atmospheric pressure in psia.

What would be the reading of a barometer in inches of mercury corresponding to an atmospheric pressure of 14.2 psia?

A barometer reads 745 mm of mercury. Calculate the barometric pressure reading in kPa(abs).

The pressure in a ventilation duct at the inlet to a fan is measured to be -3.68 in H 2 O. Express this pressure in psi and Pa.

The pressure in an air conditioning duct is measured to be 3.24 mmHg. Express this pressure in Pa and psi.