Given the brace frame below with dimensions shown and an applied lateral load of 120 kips at the second story, find the axial force in the brace using trigonometry. 19-91 12-0" HSS SXSX14 TENSION= → 120k HINT : 167/20

Given the brace frame below with dimensions shown and an applied lateral load of 120 kips at the second story, find the axial force in the brace using trigonometry. 19-91 12-0" HSS SXSX14 TENSION= → 120k HINT : 167/20

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter11: Columns

Section: Chapter Questions

Problem 11.3.21P: A pinned-end strut of aluminum (E = 10,400 ksi) with a length L = 6 ft is constructed of circular...

See similar textbooks

Related questions

Q: this is wrong

A: Given:Find:The work required by the compressor i.e. work input to the compressor in kJ/kg

Q: Assume that specific heats vary with temperature. What is the power produced in kW? Round your…

Q: Water at a temperature of 475°C has a specific volume of 0.01200 m³/kg : Determine the pressure of…

A: The temperature of the water, The specific volume of the water,

Q: A jet engine on a test stand directs a stream of hot exhaust gasses against a vemcal wall. All of…

Q: The practice problem is saying this is incorrect

A: Given:Young's modulus of piano wire = Radius of piano wire = Unstretched length of piano wire =…

Q: Refrigerant-134a enters the compressor of a cooling system as superheated vapor at 0.18 MPa and 0°C…

A: Process 1-2s : isentropic compression processProcess 1-2a : actual compression processProcess 2a-3 :…

Q: Problem 78. The hydraulic braking system for the truck and trailer is set to produce equal braking…

A: Given:To find:Determine the force P in the coupling.

Q: Link BD consists of a single bar 1 in. wide and 12 in. thick. Knowing that each pin has a 38-in.…

A: The provided system is shown below.To determine:

Q: An ideal Otto cycle has a compression ratio of 8. At the beginning of the compression process, air…

A: According to question:-

Q: 3 forces (F1, F2, F3) act on the same point on an object. The point of application is the origin of…

Q: A client provides you with a transfer function and unit step response plot for a system you are…

Q: The pressure gage on a 2.5-m³ oxygen tank reads 500 kPa. Determine the amount of oxygen in the tank…

Q: Determine the components of all the forces on member ABCD when 0-90 degrees. Is member DE in tension…

A: Write the given data.

Q: An industrial company has factories and distribution centers and is considering finding a location…

A: Given:To find:Location of the third factory and total associated cost.

Q: Problem 2 Consider the two positions provided in the figure. (a) Using the graphical method to…

A: The problem you presented is a mechanical linkage system. Here is the step-by-step solution:Step…

Q: W Derive the following equation? 0.622ФР. 8 P Р – ФР

Q: 2. Steam at 50 bar and 600°C enters an adiabatic turbine and leaves as saturated vapor at 1.5 bar.…

Q: Q6 A screw clamp as shown in the figure, exerted load (30KN), and the type of thread is (Tr.70×8.5).…

A: exerted load= 30 KNThe type of thread is ( Tr. 70 x 8.5)Stress for nut = 60 MPaLength of the nut =…

Q: 3. In the mechanism shown collar B slides with a constant speed up = 1 ft/sec to the right on the…

A: The dimension are The velocity of point B is constant

Q: Determine the Miller indices of planes A, B, and C in Figure 1.

Q: *4-32. If F = {50i + 60j + 30k} lb, determine the magnitude and coordinate direction angles of the…

Q: A sample of ideal gas weighs 0.55 kg, its PM=32 g/mol and is initially at 109.4 F and 705 lb/in^2.…

Q: How do you derive the Kinematic Differential Equation of the Euler Parameters? I just want to know…

Q: A supply line that carries steam at 5MPa and 500°C is connected to a piston- cylinder device in…

A: Given, a piston- cylinder device with the following data.Initial Volume of steam, Initial pressure…

Q: ording to linkage sh figure, Ink 3 ist be perpen the angular velocity of link 2 is 100 rad/sec CW…

A: Given:the angular velocity of link 2to determine the acceleration and angular acceleration

Q: An engineered wood beam (Figure 1) will replace a portion of a structural wall as part of a house…

A: given- L= 18ft, w=835lb/ftwidth of flange=6inthickness of flange=1indepth of web=18inthickness of…

Q: COMPLETE THE ORTHOGRAPHIC VIEWS BELOW WITH THE NECESSARY SOLID, HIDDE AND CENTER LINES. THEN DRAW AN…

A: According to the given dataThere are incomplete three orthographic projection views.we need to…

Q: A 45-lb sheet of plywood rests on two small wooden blocks as shown. It is allowed to lean 18° from…

Q: 3) -1-0.75m- 1-0.75 m Each of the two slender rods shown is 0.75 m long and has a mass of 6 kg. If…

A: Given-To Find-(a) the angular velocity of rod AB when B = 20 degrees.(b) the velocity of point D at…

Q: A Bryton cycle with regeneration using air as the working fluid operates between 880 and 95 KPa as…

Q: Derive the following equation? ωΡ (0.622 + w)Pg $

Q: Q1/ The stress array for the torsion problem of a circular cross section bar of radius a and with…

A: The stress array for the torsion isThe radius of circular bar is

Q: 5-17. Determine the reactions at the roller A and pin B. Problem 5-17 450 N B 4 m

Q: Two couples act on the frame. If the resultant couple moment is to be zero, determine the distance d…

Q: the frame (image 1) has four applied forces and one applied couple moment. replace this system by an…

Q: The drive shaft of the motor is made of a material having an allowable shear stress of τallow= 72…

Q: A pump is being installed to circulate water through a piping system in an industrial plant. The…

Q: Hot air at 400°C and 150 kPa is to be used to produce saturated steam at 200°C in an insulated,…

A: The mass flow rate of air is The inlet temperature of air is The exit temperature of air is .The…

Q: Bernoulli's equation_ Example Assume frictionless flow in a long, horizontal, conical pipe. The…

A: For the solution refer below images.

Q: 2. a) Determine the force in each member of the truss. State whether the members are in tension or…

A: a) Determine the force in each member of the truss. State whether the members are in tension or…

Q: A floor hoist supports an engine of weight WE 2.9 kN. As illustrated in the figure below, the floor…

Q: The state of stress at point 0 in a bar subject to torsion is shown in Figure P2.23. X z ++ FIGURE…

A: For the solution refer below images.

Q: Given the velocity through the exhaust of the rocket is: Umax (1-7) ¹/7 U(r) = Umax (1 Umax is a…

A: The velocity through exhaust of the rocket is is constant. is the outside radius of exhaustr flow.

Q: Develop a mathematical model of the performance of a plastic bonding process given the process data…

A: It is asked to generate a mathematical model to represent the table above

Q: Open the compressed air source. Ensure the pressure does not exceed 40 PSI.

A: In order to open the compressed air source and make sure the pressure is under 40 PSI, take the…

Q: For the simply supported steel beam shown, determine the mid-span deflection and slope at both ends…

A: Given:To find:

Q: For the two-bar planar truss shown in Figure Q1 below, determine the displacements of node 1 and the…

A: Consider as horizontal and vertical displacements of node-1. Similar meaning applies for nodes 2…

Q: An adiabatic and steady-flow turbine with air as the working fluid initially at 6000 kPa and 550 K…

Q: 4-85. Two couples act on the frame. If the resultant couple moment is to be zero, determine the…

Q: Calculate the available suction head height of the centrifugal pump from the following data: (1) The…

Concept explainers

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial load acts perpendicular to the geometric cross-section of the component. Based on the direction of the application of the load, an axial load can be tensile or compressive. The analysis of bodies under the action of axial loads is generally studied under the branch of mechanics, known as statics.

Question

Given the brace frame below with
dimensions shown and an applied
lateral load of 120 kips at the
second story, find the axial force
in the brace using trigonometry.
19-91
E
12-0"
HSS SXSX14
TENSION=
A = 4.30in²
Fy = 46 ¹4 in ²
$ = 0.9
→ 120k
HINT :
167/20

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Determine the given data

VIEW

Step 2: Calculate the axial force

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 8 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

Rigid bar ACB is supported by an elastic circular strut DC having an outer diameter of 15 in. and inner diameter of 14.4 in. The strut is made of steel with a modulus elasticity of E = 29,000 ksi. Point load P = 5 kips is applied at B. Calculate the change in length of the circular strut DC. What is the vertical displacement of the rigid bar at point B?
An aluminum bar has length L = 6 ft and diameter d = 1.375 in. The stress-strain curse for the aluminum is shown in Fig. 1.34. The initial straight, line part of the curve has a slope (modulus of elasticity) of 10.6 × 106 psi. The bar is loaded by tensile forces P = 44.6 k and then unloaded. (a) That is the permanent set of the bar? (b) If the bar is reloaded. what is the proportional limit? hint: Use the concepts illustrated in Figs. l.39b and 1.40.
Repeat Problem 11.2-14 using L = 12 ft, ß = 0.25 kips/in., ßRl= 1.5ßL2, and ßR2= 2 ßR1.
Solve the preceding problem if the internal pressure is 3,85 MPa, the diameter is 20 m, the yield stress is 590 MPa, and the factor of safety is 3.0. (a) Determine the required thickness to the nearest millimeter. (b) If the tank wall thickness is 85 mm, what is the maximum permissible internal pressure?
A steel column ( E = 30 X 103 ksi) that is fixed at the base and free at the top is constructed of a W8 x 35 wide-flange member (sec figure). The column is 9.0 ft long. The force P acting at the top of the column has an eccentricity e = 1.25 in. If P = 40 kips, what is the maximum compressive stress in the column? If the yield stress is 36 ksi and the required factor of safety with respect to yielding is 2.1, what is the allowable load Pallow?
A sign of weight W is supported at its base by four bolls anchored in a concrete footing. Wind pressure P acts normal to the surface of the sign; the resultant of the uniform wind pressure is force fat the center of pressure (C.P). The wind force is assumed to create equal shear forces F/4 in the y direction at each boll (see figure parts a and c). The overturning effect of the wind force also causes an uplift force R at bolts A and C and a downward force (— R) al bolts B and D (see figure part b). The resulting effects of the wind and the associated ultimate stresses for each stress condition are normal stress in each boll (h — 60 ksi); shear through the base plate (th = 17 ksi); horizontal shear and bearing on each bolt ( tfur = 25 ksi and cr^ = 75 ksi): and bearing on the bottom washer at B (or D) (abor = 50 ksi).
A steel column (E = 30 x 103 ksi) with pinned ends is constructed of a W10 x 60 wide-flange shape (sec figure). The column is 24 ft long. The resultant of the axial loads acting on the column is a force P acting with an eccentricity n = 2.0 in. If P = 120 kips, determine the maximum compressive stress ff^ in the column. Determine the allowable load Pallowif the yield stress is ( y =42 ksi and the factor of safety with respect to yielding of the material is n = 2.5.
AW310 × 74 wide-flange steel column with length L = 3.8 m is fixed at the base and free at the top (see figure). The load P acting on the column is intended to be centrally applied, but because of unavoidable discrepancies in construction, an eccentricity ratio of 0.25 is specified. Also, the following data are supplied: E = 200 GPa, y = 290 MPa, and P = 310 kN. What is the maximum compressive stress max in the column? What is the factor of safety n with respect to yielding of the steel?
A suspender on a suspension bridge consist of a cable that passes over the main cable (see figure) and supports the bridge deck, which is Far below. The suspender is held in position by a metal tie that is prevented from sliding downward by clamps around the suspender cable. Let P represent the load in each part of the suspender cable, and let represent the angle of the suspender cable just above the tie. represent the allowable tensile stress in the metal tie. (a) Obtain a formula for the minimum required cross-sectional area of the lie. (b) Calculate the minimum area if P = 130 kN, = 75°, and allow=80 .
A pinned-end strut of a length L = 5.2 ft is constructed of steel pipe (E = 30 × 103 ksi) having an inside diameter d1= 2.0 in. and outside diameter d2= 2.2 in. (sec figure). A compressive load F = 2.0 kips is applied with eccentricity e = 1.0 in. What is the maximum compressive stress max in the strut? What is the allowable load Pallowif a factor of safety n = 2 with respect to yielding is required? (Assume that the yield stress y of the steel is 42 ksi.)
Two steel wines support a moveable overhead camera weighing W = 28 lb (see figure part a) used For close-up to viewing of field action at sporting, events. At some instant, wire I is at an angle a = 22° to the horizontal and wire 2 is at angle fi = 40°. Wires I and 2 have diameters of 30and 35 mils, respectively. (Wire diameters are often expressed in mils; one mil equals 0.001 in.) (a) Determine the tensile stresses s and s2 in the two wires. (b) If the stresses in wires 1 and 2 must be the same, what is the required diameter of wire 1 ? (c) To stabilize the camera for windy outdoor conditions, a third wire is added (see figure part b). Assume the three wires meet at a common point coordinates (0, 0. 0) above the camera at the instant shown in figure part b. Wire I is attached to a support at coordinates (75 ft, 48 ft, 70 Ft). Wire 2 is supported at (-70 ft. 55 ft, 80 Ft). Wire 3 is supported at (-10 ft. -85 Ft, 75 ft). Assume that all three wires have a diameter of 30 mils. Find the tensile stresses in all three wires
An elevated jogging track is supported at intervals by a wood beam AB (L = 7.5 ft) that is pinned at A and supported by steel rod BC and a steel washer at B. Both the rod (dBC= 3/16 in.) and the washer (dB= 1.0 in.) were designed using a rod tension force of TBC=415 lb. The rod was sized using a factor of safely of 3 against reaching the ultimate stress tru— 60 ksi. An allowable bearing stress sba= 565 psi was used to size the washer at B. A small platform HF is suspended below a section of the elevated track to support some mechanical and electrical equipment. The equipment load is uniform load q = 50 lb/ft and concentrated load WE= 175 lb at mid-span of beam HF. The plan is to drill a hole through beam ABaX £land install the same rod (dBC) and washer) dB) at both D and F to support beam HF. (a) Use s and to check the proposed design for rod DF and washer d,: are they acceptable? (b) Re-check the normal tensile stress in rod BC and bearing stress at 8 if either is inadequate under the additional load from platform HF. Re-design them to meet the original design criteria.