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The composite beam is made of steel (A) bonded to brass (B) and has the cross section shown. If the allowable bending stress for the steel is (Ï allow ) st = 180 MPa, and for the brass (Ï...

If the applied shear force V = 18 kip, determine the maximum shear stress in the member. 3 in. 1 in. in. '1 in. 1 in.

The overhang beam is subjected to the uniform distributed load having an intensity of w = 50 kN/m. Determine the maximum shear stress in the beam. B- -3 m -3 m- 50 mm 100 mm

If the wide-flange beam is subjected to a shear of V = 30 kN, determine the maximum shear stress in the beam. Set w = 300 mm. 200 mm 20 mm 20 mm 300 mm 200 mm 20 mm

The composite beam is made of A-36 steel (A) bonded to C83400 red brass (B) and has the cross section shown. If it is subjected to a moment of M = 6.5 kN · m, determine the maximum stress in...

A wooden beam has a square cross section as shown. Determine which orientation of the beam provides the greatest strength at resisting the moment M. What is the difference in the resulting maximum...

Determine the shear and moment in the beam as functions of x, where 0 ¤ x < 6 ft, then draw the shear and moment diagrams for the beam. 8 kip 2 kip/ft 50 kip-ft 6 ft 4 ft

The composite beam consists of a wood core and two plates of steel. If the allowable bending stress for the wood is (Ï allow ) w = 20 MPa, and for the steel (Ï allow ) st = 130 MPa,...

Determine the shape factor of the cross section. 100 mm 100 mm 100 mm 100 mm 100 mm 100 mm

If the wide-flange beam is subjected to a shear of V = 30 kN, determine the maximum shear stress in the beam. Set w = 200 mm. 200 mm 30 mm 25 mm A. 250 mm 30 mm

If w = 800 lb/ft, determine the absolute maximum shear stress in the beam. The supports at A and B are smooth. 3 ft - 3 ft 6 ft

The beam is subjected to a shear force of V = 50 kip. Determine the shear flow at points A and B. 1 in. 5 in. 1 in. 5 in. 9 in. 1 in. B 12 in.

A spherical gas tank has an inner radius of r = 1.5 m. If it is subjected to an internal pressure of p = 300 kPa, determine its required thickness if the maximum normal stress is not to exceed 12 MPa.

Determine the location e of the shear center, point O, for the tube having a slit along its length.

The built-up beam is formed by welding together the thin plates of thickness 5 mm. Determine the location of the shear center O. -5 mm 200'mm 100 mm 100 mm 200 mm 300 mm

The inner ring A has an inner radius r 1 and outer radius r 2 . The outer ring B has an inner radius r 3 and an outer radius r 4 , and r 2 > r 3 . If the outer ring is heated and then fitted over the...

A pressure-vessel head is fabricated by welding the circular plate to the end of the vessel as shown. If the vessel sustains an internal pressure of 450 kPa, determine the average shear stress in the...

Air pressure in the cylinder is increased by exerting forces P = 2 kN on the two pistons, each having a radius of 45 mm. If the cylinder has a wall thickness of 2 mm, determine the state of stress in...

Determine the stress components acting on the inclined plane AB. Solve the problem using the method of equilibrium described in Sec. 9.1. 8 ksi 5 ksi 40 3 ksi

A bar having a square cross section of 30 mm by 30 mm is 2 m long and is held upward. If it has a mass of 5 kg/m, determine the largest angle u, measured from the vertical, at which it can be...

Sketch the normal-stress distribution acting over the cross section at section aa. Neglect the weight of the block. 6 kip -3 in. 12 kip 6 in. D. B.

The rod has a diameter of 40 mm. If it is subjected to the force system shown, determine the stress components that act at point A, and show the results on a volume element located at this point. 100...

The block is subjected to the eccentric load shown. Sketch the normal-stress distribution acting over the cross section at section aa. Neglect the weight of the block. 100 mm 150 kN 150 mm

The 1/2-in.-diameter bolt hook is subjected to the load of F = 150 lb. Determine the stress components at point B on the shank. Show the result on a volume element located at this point. 1.5 in. A 30...

Determine the equivalent state of stress on an element at the same point which represents (a) the principal stress, and (b) the maximum in-plane shear stress and the associated average normal stress....

Determine the principal stresses, the maximum in-plane shear stress, and average normal stress. Specify the orientation of the element in each case. 20 MPa 80 MPa 30 MPa

The internal loadings at a cross section through the 6-in. diameter drive shaft of a turbine consist of an axial force of 2500 lb, a bending moment of 800 lb · ft, and a torsional moment of...

The grains of wood in the board make an angle of 20° with the horizontal as shown. Determine the normal and shear stresses that act perpendicular and parallel to the grains if the board is...

The pedal crank for a bicycle has the cross section shown. If it is fixed to the gear at B and does not rotate while subjected to a force of 75 lb, determine the principal stresses on the cross...

A closed storage building is located on open flat terrain in central Ohio. If the side wall of the building is 20 ft high, determine the external wind pressure acting on the windward and leeward...

The solid shaft is subjected to a torque, bending moment, and shear force. Determine the principal stresses at points A and B and the absolute maximum shear stress. 450 mm 300 N-m 25 mm 45 N-m 800 N

Solve Prob. 10Ã¢¬3 for an element oriented Ã¸ = 30Ã° clockwise.

Determine the reactions on the beam. 3 k/ft 2 k/ft 2 k/ft |B, 60 600 k ft 12 ft 12 ft

Determine the reactions at the smooth support C and pinned support A. Assume the connection at B is fixed connected. 80 lb/ft 30 10 ft -6 ft-

Determine the reactions at the supports A and B. 700 lb/ft 20 ft 500 lb/ft B 30 ft 48 ft- 48 ft-

Classify each of the structures as statically determinate, statically indeterminate, stable, or unstable. If indeterminate, specify the degree of indeterminacy. The supports or connections are to be...

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

Determine the force in each member of the space truss and state if the members are in tension or compression. -2 m E Do 5 m 3 m -y 4 m. 6 kN

Determine the force in each member of the space truss and state if the members are in tension or compression. The truss is supported by ball-and socket joints at C, D, E, and G. Although this truss...

Determine the force in members CD, ED, and CF of the space truss and state if the members are in tension or compression. O E 2 m 2 m 2 m/ - 3 m 2 kN 2 kN

Determine the horizontal and vertical components of reaction at A, B, and C of the three-hinged arch.Assume A, B, and C are pin connected. 4k B |2 ft 3k 5 ft 8 ft - 7 ft- -4 ft--7 ft- -5 ft| - 10 ft

Draw the shear and moment diagrams for each of the three members of the frame. Assume the frame is pin connected at A, C, and D and there is a fixed joint at B. 50 kN 40 kN -1.5 m- -2 m- -1.5 m- | c|...

Determine the shear and moment throughout the beam as a function of x. 8 kN/m 3 m

Determine the shear and moment throughout the beam as a function of x. 7 kN 12 kN m B -4 m- -2 m- -2 m-

Where should a single 500-lb live load be placed on the beam so it causes the largest moment at D? What is this moment? Assume the support at A is fixed,Bis pinned, and C is a roller. 8 ft- 20 ft- 8...

Draw the influence line for the moment at Fin the girder. Determine the maximum positive live moment in the girder at F if a single concentrated live force of 8 kN moves across the top floor beams....

A uniform live load of 6.5 kN/m and a single concentrated live force of 15 kN are placed on the floor beams. If the beams also support a uniform dead load of 600 N/m, determine (a) The maximum...

Determine the shear and moment throughout the beam as a function of x. 8 kN 8 kN 4 kN 1 m- 1 m boo

Determine the maximum moment at point Con the single girder caused by the moving dolly that has a mass of 2 Mg and a mass center at G. Assume A is a roller. B0.5m 1.5 m 5 m 5 m - -5 m-

Determine the maximum positive shear at point B if the rail supports the load of 2.5 k on the trolley. 8 ft -6 ft--6 ft - 8 ft B. 1 ft|2 ft 2.5 k

Determine the absolute maximum moment in the bridge due to the loading shown. 6k 3k 2k4k 5 ft 3 ft 3 ft 30 ft

Determine the maximum moment at C caused by the moving loads. 6 k 4 k 2k 3 ft 4 ft 3 ft -20 ft - -30 ft-

The truck has a mass of 4 Mg and mass center at G 1 , and the trailer has a mass of 1 Mg and mass center at G 2 , Determine the absolute maximum live moment developed in the bridge. G2 l1,5 ml1.5 ml...

Draw the influence line for the force in member IH of the bridge truss. Determine the maximum force (tension or compression) that can be developed in this member due to a 72-k truck having the wheel...

Using the cantilever method of analysis. Each column has the cross-sectional area indicated. Area 24(10 -3 )m 2 16(10 -3 )m 2 16(10 -3 )m 2 24(10 -3 )m 2 K L 20 kN 4 m E F 40 kN 4 m A D E 4 m 4 m-...

Use the cantilever method and determine (approximately) the reactions at A. All of the columns have the same cross-sectional area. 3k 15 ft D 4 k 15 ft E 18 ft- -20 ft-

Determine the displacement at C. Assume A is a fixed support,Bis a pin, and Dis a roller. EI is constant. Use the moment-area theorems. 25 kN -3 m 3 m 3 m

Determine the equations of the elastic curve using the coordinates x 1 and x 2 , and specify the slope at C and displacement at B. EI is constant. X1

Determine the equations of the elastic curve using the coordinates x 1 and x 3 , and specify the slope at Band deflection at C. EI is constant. - x2 X1 X

Determine the vertical displacement of joint C of the truss. Each member has a cross-sectional area of A = 300 mm 2 . E = 200. Using Castiglianos theorem. 3 m 4 m 4 m 4 m 3 kN 3 kN 4 kN

Determine the force in member AB, BC and BD which is used in conjunction with the beam to carry the 30-k load. The beam has a moment of inertia of I = 600 in 4 , the members AB and BC each have a...

Determine the moment at joints D and C, then draw the moment diagram for each member of the frame. Assume the supports at A and B are pins. EI is constant. 3/ft 12 ft A. Esat 5 ft 10 ft -5 ft

Determine the moments at D and C, then draw the moment diagram for each member of the frame. Assume the supports at A and B are pins and D and C are fixed joints. EI is constant. 5 k/ft 12 ft- 9 ft A

Determine the moments at B and C, then draw the moment diagram for the beam. Assume the supports at B and C are rollers and A and D are pins. EI is constant. 12 kN/m 12 kN/m A 4 m 6 m 4 m

What codes and regulations are likely to apply to a building construction project?

The maximum pressure that can be developed for a certain fluid power cylinder is 6000 psi. Compute the force it can exert if its piston diameter is 2.00 in.

Compute the pressure change required to cause a decrease in the volume of ethyl alcohol by 1.00 percent. Express the result in both psi and MPa.

Compute the pressure change required to cause a decrease in the volume of mercury by 1.00 percent. Express the result in both psi and MPa.

The specific gravity of benzene is 0.876. Calculate its specific weight and its density in SI units.

A cylindrical can 150 mm in diameter is filled to a depth of 100 mm with a fuel oil. The oil has a mass of 1.56 kg. Calculate its density, specific weight, and specific gravity.

Vinegar has a density of 1080 kg/m 3 . Calculate its specific weight and its specific gravity.

What volume of mercury (sg = 13.54) would weigh the same as 0.020 m 3 of castor oil, which has a specific weight of 9.42 kN/m 3 ?

Convert 1600 square millimeters to square meters.

Calculate the velocity in m/s of a 12-kg object if it has a kinetic energy of 15 Nm. The formula for kinetic energy is KE = mv 2 , where m = mass and v = velocity.

Compute the pressure produced in the oil in a closed cylinder by a piston exerting a force of 12.0 kN on the enclosed oil. The piston has a diameter of 75 mm.

The maximum pressure that can be developed for a certain fluid power cylinder is 20.5 MPa. Compute the force it can exert if its piston diameter is 50 mm.

Calculate the weight of a jar of castor oil if it has a mass of 450 g.

The variable m has dimensions of mass, h and y have dimensions of length, and t has dimensions of time. What are the dimensions of the following quantities? (a) my/t, (b) hy/t 2 , (c) y 3 /(ht)

The speed v of a bullet satisfies the relation vt = 95 m, where t = 0.25 s. Find v.

Match each of the following examples of motion to one of the positiontime graphs in Figure P2.22. (a) A person at the beginning of a race, starting from rest (b) A runner near the end of a race, just...

The peak of a certain mountain is 13 500 ft above sea level. What is the approximate atmospheric pressure?

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...

The pressure in an unknown fluid at a depth of 4.0 ft is measured to be 1.820 psig. Compute the specific gravity of the fluid.

The pressure at the bottom of a tank of propyl alcohol at 25C must be maintained at 52.75 kPa(gage). What depth of alcohol should be maintained?

An open tank contains ethylene glycol at 25C. Compute the pressure at a depth of 3.0 m.

Figure 3.19 shows a diagram of the hydraulic system for a vehicle lift. An air compressor maintains pressure above the oil in the reservoir. What must the air pressure be if the pressure at point A...

Figure 3.20 shows a clothes washing machine. The pump draws fluid from the tub and delivers it to the disposal sink. Compute the pressure at the inlet to the pump when the water is static (no flow)....

For the tank shown in Fig. 3.21, determine the reading of the bottom pressure gage in psig if the top of the tank is sealed, the top gage reads -10.8 psig, and the depth of the oil h is 6.25 ft. Air...

A storage tank for sulfuric acid is 1.5 m in diameter and 4.0 m high. If the acid has a specific gravity of 1.80, calculate the pressure at the bottom of the tank. The tank is open to the atmosphere...

For the manometer shown in Fig. 3.29, calculate (p A - p B ). Oil l 150 mm (sg = 0.90) Water 750 mm Mercury (sg = 13.54) 500 mm

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