The bar shown in figure (AB) has a length of 1.1 m and is supported at A by a ball joint and at B it rests on two smooth stops. In cable fastened in D it exerts a tension of 1000N. You are asked to: 1. Free-body diagram for the bar. 2. The reactions at A and B. 400 mm 600 mm 700 mm

The bar shown in figure (AB) has a length of 1.1 m and is supported at A by a ball joint and at B it rests on two smooth stops. In cable fastened in D it exerts a tension of 1000N. You are asked to: 1. Free-body diagram for the bar. 2. The reactions at A and B. 400 mm 600 mm 700 mm

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter2: Axially Loaded Members

Section: Chapter Questions

Problem 2.2.3P: The L-shaped arm ABCD shown in the figure lies in a vertical plane and pivots about a horizontal pin...

See similar textbooks

Related questions

Q: A frame of two members (AC) and (BD) are connected together at pin B. The other ends are…

A: Vertical reaction at 'D' needs to be evaluated

Q: A frame of two members (AC) and (BD) are connected together at pin B. The other ends are pin-…

A: According to the information we have a frame with two members AC and BD that is pinned together at…

Q: A frame of two members (AC) and (BD) are connected together at pin B. The other ends are…

Q: A rigid L-shaped member ABF shown in the figure is supported by a ball-and-socket joint at A and by…

A: Given W = 35 lb To find Tension in cable FJ Tension in cable DH Tension in cable BG Reaction at A

Q: The system in the figure is in equilibrium. A concrete block of mass 202 kg hangs from the end of…

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: Q.1) For the frame shown in figure, determine the horizontal and vertical components of 6 cm -9…

A: According to the information we have reaction pin at A, B, D, and roller E for the vertical and…

Q: The high-wire for a circus act is attached to upright AC which in turn is kept vertical by tensioner…

A: As per the guidelines, I can solve only first three subparts. For rest part, repost in a separate…

Q: For the pin-jointed truss in Figure (7), (a) determine the reactions at the supports at A and C, and…

A: given; (b) lets take force in BD menmer =F4 FBD at point D;…

Q: Two identical rollers, each of weights W=1000N, are supported by an inclined plane and a vertical…

A: Given, W = 1000 N

Q: A 7.5kg sign is hung off of the end of a 3.7kg metal arm as shown in the figure. (Note that while…

A: Given Data: The mass of the arm is m1=3.7 kg. The mass of the sign is m2 = 7.5 kg. The center of…

Q: 3. The figure shows a frame supported by pins at A and D and carries a triangular load of maximum…

A: In the given example, member DCB will exert a compressive force at point B. We will consider FBDs of…

Q: Consider the frame shown in (Figure 1). Suppose that F = 600 N. A) Determine the reaction at…

Q: The horizontal force acts on the structure in the figure below. Find the effect of the reaction at…

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

Q: segment CB, as shown in the figure. The bar is supported by a pin at point B and a cable CD is…

Q: A frame of two members (AC) and (BD) are connected together at pin B. The other ends are…

Q: The system in the figure is in equilibrium. A concrete block of mass 213 kg hangs from the end of…

Q: A uniform steel bar of length 10 m is supported at point A and B using two cables as shown in the…

Q: B 芝 9 KN 5m 3 m 3 m 60° In the figure shown, connections at A, B, and C are pin joints. a) Draw the…

Q: • A sphere weighing 100 N is tied to a smooth wall by a string as shown in Figure. Find the tension…

A: Given: The weight of the sphere is W= 100 N. The free-body diagram is shown below, Here T is the…

Q: Q The two-steel shaft shown in figure have the same diameter and weight 180 lb each. Neglect the…

A: Given, Weight = 180 lb

Q: A frame of two members (AC) and (BD) are connected together at pin B. The other ends are…

A: Take moment about the point D Force acting in the x direction is Force acting in the y direction…

Q: The system in the figure is in equilibrium. A concrete block of mass 217 kg hangs from the end of…

Q: A frame of two members (AC) and (BD) are connected together at pin B. The other ends are…

A: Option a is correct.

Q: A frame of two members (AC) and (BD) are connected together at pin B. The other ends are…

Q: Q: The two-steel shaft shown in figure have the same diameter and weight 120 lb each. Neglect the…

Q: 1. The ladder shown in Figure rests on a horizontal floor and vertical wall. The weight of the…

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: If the beam in the figure below is in equilibrium (A is a pin and B is a roller), determine the…

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: A homogeneous 1.5 kN bar AB carries a 2 kN force as shown in the figure. The bar is supported by a…

Q: Q2: The horizontal force NK 5 at the end D is acting on the structure in Figure (2). Find the effect…

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: In the structure shown in Figure, members BCE, and CD are assumed to be solid rigid members. Members…

A: To find tension in cable

Q: 3. A light bar AD is suspended from a cable BE and supports a 50 – lb load block at C. as shown in…

Q: The frame shown in the figure is loaded as shown. (a) Draw the FBD for the frame. (b) Determine the…

A: The FBD for the frame is given below,

Q: Q The two-steel shaft shown in figure have the same diameter and weight 120 lb each. Neglect the…

Q: Q The two-steel shaft shown in figure have the same diameter and weight 170 lb each. Neglect the…

Q: Bar AB of Fig. with weight W and length L has a uniform cross section. Rotation of the bar is…

Q: A 1,400-N uniform boom at o = 58.5° to the horizontal is supported by a cable at an angle 0 = 31.5°…

A: Given Data: The weight of the bloom is w1 = 1400 N The weight of the object is w2 = 1850 N The…

Q: A bar AB of weight 180kN is hinged at A and held at equilibrium by a force P as shown in the figure.…

Q: Problem 1: The T-shaped arm ABC shown in the figure lies in a vertical plane and pivots about a…

A: Free body diagram:

Q: The frame shown in the figure below is hinged to rigid supports at A and E. Find the force in member…

A: When all forces or moments acting on a structure are balanced, it is said to be in equilibrium. This…

Q: e The two-steel shaft shown in figure have the same diameter and weight 180 lb each. Neglect the…

A: Given data: Weight of each block, W = 180 lb. Draw a free-body diagram of the upper shaft. Apply…

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

Q: e prismatic bar AC is supported by a hinge at C and cable ADB that runs through a frictionless…

Q: 8. A prismatic bar AB of length 6m and weight 3 KN is hinged to a wall and supported by a cable BC.…

A: Given Data:*AB=6m*weight w=3 KNTo finda)Hinge reaction Ax=? Ay=?b)tension oin BC, T=?

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…

Concept explainers

Moment of Inertia

Inertia can be termed as a resistance offered by a body to change its state. A rigid body initially at rest will apply resistance when acted by an external force that tends to change its state of rest or velocity, or a body initially at motion will provide resistance in changing its state of velocity or motion for coming to a state of rest. In other words, Newton's first law of motion describes the law of inertia of a rigid body.

Question

The bar shown in figure (AB) has a length of 1.1 m
and is supported at A by a ball joint and at B it rests
on two smooth stops.
In cable fastened in D it exerts a tension of 1000N.
You are asked to:
1. Free-body diagram for the bar.
2. The reactions at A and B.
y
400 mm
A
600 mm
700 mm

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

VIEW

Step 2

VIEW

Step by step

Solved in 2 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 crane boom of mass 450 leg with its center of mass at C is stabilized by two cables AQ and BQ (Ae= 304 mm2 for each cable) as shown in the figure. A load P = 20 KN is supported at point D. The crane boom lies in the y-z plane. (a) Find the tension forces in each cable: TAQand TBQ(kN}. Neglect the mass of the cables, but include the mass of the boom in addition to load P. (b) Find the average stress (s) in each cable.
Find expressions for all support reaction Forces in the plane frame with load 3P applied at C as shown in the figure. Joints A and D are pin supported, and there is a roller support at joint F. The lengths and the properties of the members are shown in the figure. Neglect the weights of all members. Select Rfas the redundant.
Find support reactions at 4 and Band then use the method of joints to find all member forces. Let b = 3 m and P = 80 kN.
A rigid bar of weight W = SOO N hangs from three equally spaced vertical wines( length L = 150 mm, spacing a = 50 mm J: two of steel and one of aluminum. The wires also support a load P acting on the bar. The diameter of the steel wires is ds= 2 mm, and the diameter of the aluminum wire is d = A mm. a Assume £,=210 GPa and EB« 70 GPa. What load Pallowcan be supported at the mitl-point of the bar (x = a) if the allowable stress in the steel wires is 220 MPa and in the aluminum wire is 80 MPa? (See figure part (b) What is /*,Ikw» if the load is positioned at .v = all1? (See figure part a.) (c) Repeat part (b) if the second and third wires are switched as shown in the figure part b.
Space Frame ABC is clamped at A, except it is free to rotate at A about the x and y axes. Cables DC and EC support the frame at C. Force Py= - 50 lb is applied at the mid-span of AS, and a concentrated moment Mx= -20 in-lb acts at joint B. (a) Find reactions at support A. (b) Find cable tension Forces.
A long, slender bar in the shape of a right circular cone with length L and base diameter d hangs vertically under the action of its own weight (see figure). The weight of the cone is W and the modulus of elasticity of the material is E. Derive a formula for the increase S in the length of the bar due to its own weight. (Assume that the angle of taper of the cone is small.)
A plane Frame is restrained at joints A and D, as shown in the figure. Members AB and BCD are pin connected at B. A triangularly distributed lateral load with peak intensity of SO N/m acts on CD. An inclined concentrated force of 200 N acts at the mid-span of BC. (a) Find reactions at supports A and D. (b) Find resultant forces in the pins at B and C.
A framework ABC consists of two rigid bars AB and BC. Each having a length b (see the first part of the figure part a). The bars have pin connections at A, B, and C and are joined by a spring of stiffness k. The spring is attached at the midpoints of the bars. The framework has a pin support at A and a roller support al C, and the bars are at an angle a to the horizontal. When a vertical load P is applied at joint B (see the second part of the figure part a.) the roller support C moves to the right, the spring is stretched, and the angle of the bars decreases from a to the angle ??. (a) Determine the angle 0 and the increase S in the distance between points A and C. Also find reactions at A and C. (Use the following data: b = 200 mm. ft = 3.2 kN/m. a = 45°. and P = 50 N.) (b) Repeat part (a) if a translational spring kt= kll is added at C and a rotational spring kr= kb-l2 is added at A (see figure pan b).
A soccer goal is subjected to gravity loads (in the - z direction, w = 73 N/m for DG, BG, and BC; w = 29 N/m for all other members; see figure) and a force F = 200 N applied eccentrically at the mid-height of member DG. Find reactions at sup ports C, D, and H.
A plane frame is constructed by using a pin connection between segments ABC and CDE. The frame has pin supports at A and E and joint loads at B and D (see figure). (a) Find reactions at supports A and E. (b) Find the resultant force in the pin at C.
The L-shaped arm ABCD shown in the figure lies in a vertical plane and pivots about a horizontal pin at A. The arm has a constant cross-sectional area and total weight W. A vertical spring of stiffness k supports the arm at point B. (a) Obtain a formula for the elongation of the spring due to the weight of the arm. (b) Repeat part (a) if the pin support at A is moved to D.
An L-shaped reinforced concrete slab 12 Ft X 12 ft, with a 6 Ft X 6 ft cut-out and thickness t = 9.0 in, is lifted by three cables attached at O, B, and D, as shown in the figure. The cables are are combined at point Q, which is 7.0 Ft above the top of the slab and directly above the center of mass at C. Each cable has an effective cross-sectional area of Ae= 0.12 in2. (a) Find the tensile force Tr(i = 1, 2, 3) in each cable due to the weight W of the concrete slab (ignore weight of cables). (b) Find the average stress ov in each cable. (See Table I-1 in Appendix I for the weight density of reinforced concrete.) (c) Add cable AQ so that OQA is one continuous cable, with each segment having Force T, which is connected to cables BQ and DQ at point Q. Repeat parts (a) and (b). Hini: There are now three Forced equilibrium equations and one constrain equation, T1= T4.