The shaft is supported by a thrust bearing at A and journal bearing at D. If the shaft has the cross section shown, determine the absolute maximum bending stress in the shaft. 40 mm 25 mm D. 0.75 m...

If the beam is made of material having an allowable tensile and compressive stress of (Ï allow ) t = 125 MPa and (Ï allow ) c = 150 MPa, respectively, determine the maximum moment M that...

Determine the absolute maximum bending stress in the beam. Each segment has a rectangular cross section with a base of 4 in. and height of 12 in. 12 kip 2 kip/ft 9 ft -3 ft- 6 ft-

If the allowable bending stress is Ï allow = 6 MPa, determine the minimum dimension d of the beams crosssectional area to the nearest mm. 125 mm 25 mm / 25 mm 75 mm 12 kN 8 kN/m 75 mm B- 2 m- 4m

The beam has a rectangular cross section as shown. Determine the largest intensity w of the uniform distributed load so that the bending stress in the beam does not exceed Ï max = 10 MPa. 50 mm...

The box beam is subjected to a moment of M = 15 kip ft. Determine the maximum bending stress in the beam and the orientation of the neutral axis. y 4 in. 4 in. 6 in. ID -6 in.-

Determine the maximum magnitude of the bending moment M so that the bending stress in the member does not exceed 15 ksi. 4 in. 4 in. 6 in. ID -6 in.-

For the section, I y' = 31.7(10 6 ) m 4 , I z' = 114(10 6 ) m 4 , I y'z' = 15.8(10 6 ) m 4 . Using the techniques outlined in Appendix A, the members cross-sectional area has principal moments of...

Determine the largest shear force V that the member can sustain if the allowable shear stress is Ï allow = 8 ksi. 3 in. 1 in, -3 in. 1 in. 1 in.

The white spruce beam is reinforced with A-992 steel straps at its center and sides. Determine the maximum stress developed in the wood and steel if the beam is subjected to a bending moment of M z =...

The shaft is supported by a thrust bearing at A and a journal bearing at B. If P = 20 kN, determine the absolute maximum shear stress in the shaft. A -1m -1m-

If the wide-flange beam is subjected to a shear of V = 20 kN, determine the sheer force resisted by the web of the beam. 200 mm 20 mm 20 mm B- 300 mm 200 mm 20 mm

If the wide-flange beam is subjected to a shear of V = 20 kN, determine the shear stress on the web at A. Indicate the shear-stress components on a volume element located at this point. 200 mm 20 mm...

Determine the shape factor of the cross section. fototod

A shaft is made of a polymer having a parabolic upper and lower cross section. If it resists a moment of M = 125 N · m, determine the maximum bending stress in the material (a) using the...

Determine the shape factor of the cross section.

The beam is made of an elastic perfectly plastic material for which Ï Y = 200 MPa. If the largest moment in the beam occurs within the center section aa, determine the magnitude of each force P...

Sketch the intensity of the shear-stress distribution acting over the beams cross-sectional area, and determine the resultant shear force acting on the segment AB. The sheer force acting at the...

If the wide-flange beam is subjected to a shear of V = 30 kN, determine the sheer force resisted by the web of the beam. Set w = 200 mm. 200 mm LA 25 mm 30 mm 250 mm 30 mm

The composite beam is constructed from wood and reinforced with a steel strap. Use the method of Sec. 6.6 and calculate the maximum shear stress in the beam when it is subjected to a shear of V = 50...

The aluminum strut is 10 mm thick and has the cross section shown. If it is subjected to a shear of V = 150 N, determine the shear flow at points A and B. 10 mm 40 mm 10 mm t+-40 mm- 30 mm 30 mm 10...

The beam supports a vertical shear of V = 7 kip. Determine the resultant force in segment AB of the beam. 0.5 in. 10 in. -0.5 in. IA 0.5 in. 5 in.

The gas pipe line is supported every 20 ft by concrete piers and also lays on the ground. If there are rigid retainers at the piers that hold the pipe fixed, determine the longitudinal and hoop...

The steel water pipe has an inner diameter of 12 in. and a wall thickness of 0.25 in. If the valve A is closed and the water pressure is 300 psi, determine the longitudinal and hoop stress developed...

The tank of the air compressor is subjected to an internal pressure of 90 psi. If the inner diameter of the tank is 22 in., and the wall thickness is 0.25 in., determine the stress components acting...

The bar has a diameter of 40 mm. determine the state of stress at point B and show the results on a differential volume element located at this point. 200 mm y 200 mm 1200 N 15 800 N

The uniform sign has a weight of 1500 lb and is supported by the pipe AB, which has an inner radius of 2.75 in. and an outer radius of 3.00 in. If the face of the sign is subjected to a uniform wind...

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 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...

The 2-in.-diameter drive shaft AB on the helicopter is subjected to an axial tension of 10 000 lb and a torque of 300 lb · ft. Determine the principal stresses and the maximum in-plane shear...

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...

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 principal stresses and the absolute maximum shear stress. 120 psi 70 psi 30 psi

Determine the principal stresses and the absolute maximum shear stress. 150 MPa 120 MPa

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.

Use Hookes law, Eq. 1018, to develop the strain transformation equations, Eqs. 105 and 106, from the stress transformation equations, Eqs. 91 and 92.

The state of strain at the point on the support has components of ε x = 350(10 -6 ), ε y = 400(10 -6 ), γ xy = -675(10 -6 ). Use the strain-transformation...

The spherical pressure vessel has an inner diameter of 2 m and a thickness of 10 mm. A strain gage having a length of 20 mm is attached to it, and it is observed to increase in length by 0.012 mm...

The strain gage is placed on the surface of the steel boiler as shown. If it is 0.5 in. long, determine the pressure in the boiler when the gage elongates 0.2(10 -3 ) in. The boiler has a thickness...

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.

Solve Prob. 105 using Mohrs circle. Data from Problem: 10-5. The state of strain at the point on the leaf of the caster assembly has components of ε x = - 400 (10 -6 ), ε y...

The 45° strain rosette is mounted on the surface of a shell. The following readings are obtained for each gage: ε a = -200(10 -6 ), ε b = 300(10 -6 ), and ε...

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

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

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-

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

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 moments at A, B, and C by the moment-distribution method. Assume the supports at A and C are fixed and a roller support at B is on a rigid base. The girder has a thickness of 4 ft. Use...

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

Solve Prob. 1311 using the slope-deflection equations. Data From 13-11. Use the moment-distribution method to determine the moment at each joint of the symmetric bridge frame. Supports F and E are...

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.

Use the moment-distribution method to determine the moment at each joint of the symmetric bridge frame. Supports F and E are fixed and B and C are fixed connected. The haunches are straight so use...

Convert 2.05 square meters to square millimeters.

Solve Prob. 139 using the slope-deflection equations. Data from 13-9. Use the moment-distribution method to determine the moment at each joint of the frame. The supports at A and C are pinned and the...

Use the moment-distribution method to determine the moment at each joint of the frame. The supports at A and C are pinned and the joints at B and D are fixed connected. Assume that E is constant and...

Apply the moment-distribution method to determine the moment at each joint of the parabolic haunched frame. Supports A and B are fixed. Use Table 132. The members are each 1 ft thick. E is constant....

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.