Answered: Using the method of joints, find forces…

Using the method of joints, find forces in each member of the truss shown in the figure below. -3 m D 60° 30° 3 m 60 30 A 500 kN

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter1: Tension, Compression, And Shear

Section: Chapter Questions

Problem 1.3.10P: Find support reactions at 4 and Band then use the method of joints to find all member forces. Let b...

See similar textbooks

Related questions

Q: A truss of span 10 meters is loaded as shown in the figure. Find the forces in all the members of…

A: we are unable to solve these questions by two methods .please post again the second method problem…

Q: 3-5.7. A beam supports a load varying uniformly from an intensity w lb/ft at the left end to p lb/ft…

Q: 7. In the wedge shown in the figure. Determine the largest angle that will cause the wedge to be…

A: As per given question We have to determine the largest angle

Q: Situation 5 - The crane shown in Figure AP-4.13 carries the load W. The crane is hinged at B and…

A: Given data is represented on the loading diagram as shown below.

Q: Find the reactions for the supports on the frame below. P is 12 kN in the x direction, F is 24 kN in…

Q: Consider the truss shown in (Figure 1). Suppose that F = 60 kN and F2 = 30 kN. !! Figure < 1 of 1 50…

Q: F 45° 307 R

A: As per given question The above figure we have to determine tension in QR

Q: The system with two pin supports, and having an internal pin at C, is subject to two horizontal…

Q: The rigid arm of negligible weight shown in the figure supports a load of F = 852 N. The chains are…

A: Given data: F=852 Nx1=5 mx2=4 my=7 mz=5 m Need to determine the Magnitude of the force in FBE.

Q: Determine the force Vectors F = 90 N and F43 in the four bar mechanism shown in figure below. Draw…

A: Given: F = 90 N OQ = 80 cm OA = 50 cm AB = 70 cm QB = 60 cm QE = 34 cm For this mechanism to be…

Q: Problem: Using the method of joints, find all forces on each member and indicate if tension or…

Q: In the figure, one end of a uniform beam of weight 440 N is hinged to a wall; the other end is…

A: Consider the FBD as shown below.

Q: A plane frame has a pin support at A androller supports at C and E (see figure). Frame segmentsABD…

A: Given data as per question UDL applied on the BD =1.5 KN/m The horizontal force applied at point B…

Q: The beam shown in the figure below, has a pin support at A and roller support at C. Determine the…

Q: Find the forces in members CE and CF in the figure below using the method of sections. Enter your…

Q: For the truss shown in figure (3), find the forces in member (BC, HG, CG, and DF) and state whether…

Q: In the cage system connection in the figure; Rod forces S1 = 90 kN, S3 = - 80 kN, S5 = 70 kN.…

A: Given : Rod forces S1 = 90 N S3 = -80N S5 = 70N suppose…

Q: draw free body diagram for the following figure and find the tension force in the cable and the…

Q: Find the forces in the system of two rods (truss) in the figure, where P=1000nt. 45° u Truss Force…

Q: D F 4m E 3m 3m he pin-jointed frame work in the figure If a vertical concentrated load of 800KN…

Q: In the figure, one end of a uniform beam of weight 340 N is hinged to a wall; the other end is…

Q: 3. For the truss shown below, the force P is 320 N. Find the support reactions at A and C. Using…

Q: A 400 N gas sign hangs from the end of a uniform strut BC. The strut is 4 m long and weighs 600 N.…

A: FBD of given figure First we calculate the angle tanθ=34θ=tan-134θ=36.86 Now consider clockwise…

Q: The vertical reaction in the hinged support shown in the figure is Blank 1 N. 200 N 200 N B E 2 m 2…

Q: In the figure, AB is a rigid rod and CB is a cable. If M is 900kg, what is the pin reaction at A on…

A: To find: The pin reaction at A on the rod and the tension in the cable. Given: The AB is rigid rod…

Q: PROBLEM I Find the support reactions and joint force of the construction, shown on the figure, if P…

Q: The cantilever truss in the figure is hinged at D and E. Find the force in member BD. 1000 Ib 60 60…

Q: Determine the reactions at the supports, the mag- nitude of the cable sag at joints B and E, the…

A: A moment is a movement of the body when a body is rotating on an axis. The moment is also known as…

Q: The space truss above is supported by ball-and-socket joint at points A, B, and E. A single force F…

Q: Problem 1. For the frame shown in the figure, determine (a) Reactions at the supports (b) Axial…

A: a) At equilibrium, Taking moment about A, ∑MA=0 -8×5-12×322-25×3-30×7.5-12×15-10×7+12VF=0VF=53.67 N…

Q: Consider the steel frame in the figure below. Taking F = 8.9 kN. FkN B 30 kN m 3 m 5. 4. Determine…

A: Let us draw the reaction force sinθ=35 cosθ=45

Q: 2. A truss is pulled with a force of 800 N as indicated in figure 2 below. (25) Answer the…

Q: Find the reactions for the supports on the frame below. P is 24 kN in the y direction, F is 12 kN in…

A: Given:

Q: Situation 4-A load of W 30 kN is lifted through a boom BCD as shown in the Figure LI L2 AP-4.10. The…

A: Draw the schematic diagram. Calculate the distance AB.

Q: 2. A truss is pulled with a force of 800 N as indicated in figure 2 below. Answer the following:…

Q: The simple truss is loaded by a system of forces as shown in the figure. The truss is supported by a…

Q: Find the support reactions and joint force of the construction. shown on the figure, if P12 kN, 4 q…

Q: Calculate the horizontal displacement at Joint H if the steel truss is loaded as shown in Figure…

Q: 4. The structure in the figure is composed of two rigid bars (AB and CD) and two vertical rods made…

A: AluminumA1=300 mm2=300×10-6 m2=3×10-4 m2E1=70 GPaSteelA2=500 mm2=500×10-6 m2=5×10-4 m2E2=200 GPa

Q: Act on the structure in the figure The horizontal force is 2KN at the end D Find the reaction in the…

Q: A uniform trapdoor shown below is 1.0 m by 1.5 m and weighs 300 N. It is supported by a single hinge…

A: Given Structure To find Tension of the rope Fx of the hinge Fy of the hinge Resultant force of the…

Q: D A AB Ac 03 B Torre de soporte WB Wc L= 100 ft

Q: vertical mast AE is supported in a ball and socket joint at A and by cables CE and BD as shown in…

Q: 4. Consider the truss shown in the Figure 6 below: 250 KN C. 100 KN 450 450 B 5m Figure 6 a.…

Q: Determine the reaction of the supports in the figure below.

A: As per the given figure point, C is the internal hinge. So divide the beam in two parts from the…

Q: Compute the forces in the cables AE and BD and also the components exerted by the ball and socket…

Q: PROBLEM 1 Find the support reactions and joint force of the construction, shown on the figure, if:…

Q: The cantilever truss in the figure is hinged at D and E. Find the force in member DC. 1000 Ib 60 60…

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

BAPS JUM
uestion 1
Using the method of joints, find forces in each member of the truss shown in the figure below.
3 m
D
60° 30°
3 m
60
30
A
500 kN

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step by step

Solved in 4 steps with 1 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

A lifeboat hangs from two ship's davits. as shown in the figure. A pin of diameter d = 0.80 in. passes through each davit and supports two pulleys. are on each side of the davit. Cables attached to the lifeboat pass over the pulleys and wind around winches that raise and lower the lifeboat. The lower parts of the cables are vertical and the upper parts make an angle a =15° with the horizontal. The allowable tensile force in each cable is 1800 lb, and the allowable shear stress in the pins is 4000 psi. If the lifeboat weighs 1500 lb, what is the maximum weight that can be carried in the lifeboat?
An idealized column is composed of rigid bars ABC and CD joined by an elastic connection with rotational stiffness ßRIat C. There is a roller support at B and an elastic support at D with translationa1 spring stiffness ß and rotational stiffness ßR2. Find the critical buckling loads for each of the two buckling modes of the column. Assume that L = 3 m, ß = 9 kN/m, and ßR]= ßR1= ßL2. Sketch the buckled mode shapes.
An idealized column is composed of rigid bars ABC and CD joined by an elastic connection with rotational stiffness ßRat C. There is an elastic support at B with translational spring stiffness ß and a pin support at D. Find the critical buckling loads for each of the two buckling modes of the column in terms of ßL. Assume that ßR= ßL2. Sketch the buckled mode shapes.
The hoisting arrangement for lifting a large pipe is shown in the figure. The spreader is a steel tubular section with outer diameter 70 mm and inner diameter 57 mm. Its length is 2.6 m, and its modulus of elasticity is 200 GPa. Based upon a factor of safety of 2.25 with respect to Euler buckling of the spreader, what is the maximum weight of pipe that can be lifted? (Assume pinned conditions at the ends of the spreader.)
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
The figure shows an idealized structure consisting of two rigid bars with pinned connections and linearly elastic rotational springs. Rotational stiffness is denoted ßR. Determine the critical load Pcrfor the structure.
An idealized column is made up of rigid bars ABC and CD that are joined by a rotational elastic connection at C with stiffness ßR. The column has a roller support at B and a pin support at D. Find an expression for the critical load Pcr of the column.
2.4-11 Three steel cables jointly support a load of 12 kips (see figure). The diameter of the middle cable is 3/4 in. and the diameter of each outer cable is 1/2 in. The tensions in the cables are adjusted so that each cable carries one-third of the load (ie., 4 kip). Later, the load is increased by 9 kips to a total load of 21 kips. (a) What percent of the total load is now carried by the middle cable? (b) What are the stresses crvand 0 in the middle and outer cables, respectively? Note: See Table 2-1 in Section 2.2 for properties of cables.
The plane truss shown in the figure supports vertical loads F at joint D, 2F at joint C, and 3F at joint B. Each member is a slender circular pipe (E = 70 GPa) with an outside diameter of 60 mm and wall thickness of 5 mm. Joint B is restrained against displacement perpendicular to the plane of the truss. Determine the critical value of load variable F(kN) at which member BF fails by Eu1er buckling.
A 150-lb rigid bar AB. with friction less rollers al each end. is held in the position shown in the figure by a continuous cable CAD. The cable is pinned at C and D and runs over a pulley at A. (a) Find reactions at supports A and B. (b) Find the force in the cable.
-2-3. Two rigid bars are connected with a rotational spring, as shown in the figure. Assume that the elastic rotational spring constant is R= 75 kip-in./rad. Calculate the critical load Pcrof the system. Assume that L = 6 ft.
Three pinned-end columns of the same material have the same length and the same cross-sectional area (see figure). The columns are free to buckle in any direction. The columns have cross sections as: (a) a circle, (b) a square, and (e) an equilateral triangle. Determine the ratios Pa: Pb: Pcof the critical loads for these columns.