Cantilever beam AD is supported at A. A crossbar 2 m in length is welded at its center to the beam at C. Lengths AB, BC, and CD each are 2 m long. Find: (1) FAX, the x-component of FA, the resultant force at A (2) FAy, the y-component of FA (3) MAmag, the magnitude of the resultant couple moment

Cantilever beam AD is supported at A. A crossbar 2 m in length is welded at its center to the beam at C. Lengths AB, BC, and CD each are 2 m long. Find: (1) FAX, the x-component of FA, the resultant force at A (2) FAy, the y-component of FA (3) MAmag, the magnitude of the resultant couple moment

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: A three-hinged parabolic arch ABC has a span of 20 m and a central rise of 4.0 m. The arch has…

A: Given data- The given three-hinged parabolic arch ABC with the loading is shown below- To Find- The…

Q: Maximum Positive and Negative Moments at cutting plane 1-1, M1-1 Maximum Shear at cutting plane 2-2,…

A: The maximum positive bending moment at section 1-1 can be obtained by placing 32000 lb load on…

Q: A beam carries a distributed load that varies from 0 at support A to 50 kN/m at its overhanging end,…

Q: anwser c and d

Q: The moist densities and degrees of saturation of a soil are given in the following table: p (kg/m³)…

Q: Problem 1 A simply supported prismatic beam AB carries a uniformly distributed load w per unit…

A: Given data : SS Beam Find : Equation of curve and maximum deflection Use Double integration method…

Q: Maximum Reaction at support A, VA Maximum Reaction at support B, VB Maximum Shear at cutting plane…

A: Note:As per bartleby guidelines, only 1st 3 parts among multiple parts, need to be solved. For rest…

Q: The 81-lb force P is applied to the 220-lb crate, which is stationary before the force is applied.…

Q: Q- Principal stress at a point in an elastic material are 1.5 o (tensile), o (tensile) and 0.5o…

A: Given- Principal stress- σ1=+1.5σ σ2=+σ σ3=-0.5σ Elastic limit E=210 MPa, Poisson's ratio- μ=0.3,…

Q: Determine the moment of inertia of the shaded area about the x-axis.

Q: T= 5000 212 = 2.4 Three forces are concurrent at point O, and the tension in cable T₁ 5,000# with…

A: To find magnitude of T1 and T2

Q: The given BEAM carry: - a uniform LL of 6.5 kN/m - concentrated LL of 15 kN - 4 kN/m DL Solve for…

Q: An important building is in earthquake zone V in India. The seismic weight of the building is 10000…

A: Given data- An important building in earthquake zone V, Seismic weight W=10,000 kN, Spectral…

Q: Problem: The state of strain at the point on the gear tooth has components &x = 750 x 106 in/in, Ey…

A: Given data : Find : a) The in- plane principal strain? b) Max. in-plane shear strain and the…

Q: Situation 2. Determine the member forces BD, CD, and CE using Method of Section. Indicate if (T) or…

Q: The velocity components in a two-dimensional flow field for an incompressible fluid are as follows:…

A: Given Data- u=y33+2x-x2y, v=xy2-2y-x33, To find- An expression for stream function.

Q: 1. What is structural geology all about?

A: Note:- Hi! Thank you for the question As per the honor code, We’ll answer the first question since…

Q: *5-32. Determine the magnitudes of the resultant forces at the pins A, B, and C of the three-hinged…

Q: A man's eyes 1.75 m. above sea level can barely see the top of a lighthouse which is at a certain…

A: Given data:- Height of man's eye above sea level (h) = 1.75 m Height of top of lighthouse above…

Q: 3-91 The weight of the gate separating the two fluids is such that the system shown in Fig. P3-91 is…

A: Given: F1/F2 = 1.70 SG¹ = 0.86, SG² = 1.25 Required: h/H

Q: e same grain size, d be consid varies. feature of signif tual orientation grains have less andom…

Q: P Answers: P = FB = i i 35 kg B N N A

Q: Prob. 6-61 6-62. In each case, determine the force P required to maintain equilibrium. The block…

Q: A square column footing is to support a 500 mm square tied column that carries a dead load 1000 KN…

Q: 35 What angle is subtended by the roadway from the last full station to the P1, 82?

A: In this method first station just after point of curve (PC) is made such that the length added will…

Q: Surveying Practical part: Please write a report about (Setting out Right angles). Introduction…

Q: Don't need to show work, just need to know which ones correct to compare my answers. 3/4

A: This question is related to the Building design and drawing from Civil Engineering. In this question…

Q: You are designing a vertical sag curve joining a -3% grade to a +2% grade. The design speed is 60…

A: Given: g1=-3%g2=+2% Design speedV=60 mph.

Q: Situation 5. Determine the member forces CD and GF using any method. Indicate if (T) or (C). 2 kN…

A: Given data in question Load 2 kN and 1.5 kN Span 4 m To find out Member forces in CD & GF

Q: Question 2 Classify each of the structures below as statically determinate, statically…

A: To classify the structure as determinate, indeterminate or unstble. m=number of members R=external…

Q: 4-6.17. The frame shown in Fig. P-4-6.17 is hinged to rigid supports at D and E and roller supported…

Q: 8.3 Identify the correct statement(s): • Column effective length depends on its unbraced length and…

Q: 4-90. Determine the distance d between A and B so that the resultant couple moment has a magnitude…

A: Given : Determine the distance d between A and B ?

Q: A proposed highway is to be designed with adequate shoulder and clearance in a level terrain with…

A: Given data: AADT = 40000 pcu/day D=70% k=7% 4-lane two way highway lane width = 4m

Q: 8.5 (Lu is unbraced column length.) ich of the following conditions will crea a) Lu = 12 ft, fixed…

Q: 4. A V - notch weir is located at one end of a tank having a horizontal square section 12m x 12m. If…

Q: Which vehicle accidents causes are preventable? Answer using at least 5 sentences and cite your…

A: Accidents are unforeseen, uncontrolled, and unavoidable occurrences that expose a person to danger.…

Q: The moist densities and degrees of saturation of a soil are given in the following table: p (kg/m³)…

A: Given : Compute the void ratio and the specific density Gs?

Q: DETERMINE THE FORCES ACTING IN MEMBERS CD, CH AND BJ. K J I H G 4 ft A B C ID E -3 ft 3 ft 3 ft 3 ft…

A: Given a determinate truss in which few member forces are to be calculated. To calculate member…

Q: What is the maximum span for a 7.5-inch thick post-tensioned concrete two-way flat plate? Answer…

A: To find the maximum span for a 7.5-inch thick post-tensioned concrete two-way flat plate

Q: A car weighs 2200 lb and is traveling 100 mi/h on a race track that is on a 3% upgrade. The car is…

Q: Determine the force of all members using METHOD OF JOINT. Answer in 3 decimal places only. TRUSS…

Q: Knowing that a 0.03-in. gap exists when the temperature is 85 °F, determine the temperature at which…

A: Given : Determine the temp. at which the normal stress in the aluminum bar will be equal to 11…

Q: י A 50 KN D 4 m 3 m X X 50 KN 3 m E X 4 m B 3 m 7m

Q: g vertical curve has a -3% down grade followed by a +3% upgrade. the design height of the headlight…

A: SSd=423ft h'=2ft to find length of sag curve

Q: Exercise Figure 8.1 20 ft 220 ft -200 ft- 8.1). The concrete has a unit weight of 2.4 Mg/m³ (150…

Q: 1.5 k/ft -30 ft- 2.5 K/ft ↓↓↓↓ Hinge R = 30 ft 30 ft

Q: In a particular interval of motion, Pin A is forced to move in the fixed parabolic slot by the…

Q: Consider the frame shown in (Figure 1). Suppose that F₁ = 21 kN Figure 2 m D 1.5 m B 1.5 m < 1 of 1…

Q: Try to calculate the Fixed-end Moment (FEM) shown in the figure below

Concept explainers

Mechanics of Solids

It is the study of the behavior of solid materials, their characteristics under various circumstances such as variation in external forces, temperature, and other internal factors. It is one of most important study in the field of engineering science, especially chemistry and mechanical engineering. In rigid body, the idealization of the solid body in which deformation is neglected. Deformation is known as the force acting on the solid state system which exerts change in its shape of the body but it continues to be at rest or in a uniform motion but it cannot accelerate. But those solid systems do have elasticity, compressibility and can be bent. This field is very vast since there are wide range of materials around us.

Question

Cantilever beam AD is supported at A. A crossbar 2 m in
length is welded at its center to the beam at C. Lengths AB,
BC, and CD each are 2 m long.
Find:
(1) FAX, the x-component of FA, the resultant force at A
(2) FAy, the y-component of FA
(3) MAmag, the magnitude of the resultant couple moment
at A
Express your answers as Newtons and Newton-meters.
F1
a1
2 m
2m
F2
1m
1 m
V
Answer all numeric solutions with five significant figures.
F1 = 28.2 N
a1 = 64.1 deg
a2
F2
a2
2 m
F2 = 32.5 N
a1
F1
a2 = 33.9 deg

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

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 4 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, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

The rigid bar BDE is supported by two links AB and CD. Link AB is made of aluminum (E = 70 GPa) and has a cross-sectional area of 519 mm2; link CE is made of steel (E = 200 GPa) and has a cross-sectional area of 633 mm2. For the 36 kN force shown, determine the deflection of B (mm) *deflection should have a negative sign if compression and positive if tension. Also, your final answer should have two decimal places
A two member truss ABC is shown in the figure. The force (in kN) transmitted in member AB is - A 11 0.5 m 17 1pc C 1 m B 10 kN
The force system acting on the machine part is equivalent to the single force R=475i+50j acting at O. (a)Find the value of P. (b)What is the value of the y-component of P? (c)Find the value of b. (d)What is the value of x-component of P?
The cantilever beam is supported by a fixed support at A, and subjected to the force F-470 lb and the couple M = 3210 ft-lb. Draw the shear force and bending moment diagrams (in your homework documentation) and determine the equations for V(x) and M(x). Take z = 0 at point A. 2013 Michael Swanbom F₁ (CC) a b BY NC SA a Support Reactions The force reaction at A is The couple moment reaction at A is Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value 4 ft 3.2 ft Shear Force and Bending Moment Equations In section AB: V(x)= In section BC: V(x)= B lb (take up as positive). lb and 'M(x)= M lb and 'M(x)= b- C ft-lb (take counterclockwise as positive). ft-lb. ft-lb.
The rigid bar BDE is supported by two links AB and CD. Link AB is made of aluminum (E = 70 GPa) and has a cross sectional area of 500 mm^2. Link CD made of steel (E = 200 GPa) and has a cross sectional area of 600 mm^2. Determine the deflection at D in mm
1. The solid 160 mm diameter bar made of steel with a tensile yield strength Syı = 270 MPa is fixed at location O and is loaded at point 4 (at the centre of the bar), as shown in the figure. a) Clearly draw and label the equivalent force moment system at the location of elements H and K about the centre of the bar at O b) Determine the stresses at the location of element H and draw them on the element indicating the orientation of the axes. c) Determine the principal stresses at the location of element H. d) Determine the factor of safety using the Tresca (Maximum Shear Stress) theory at the location of element H. 2 m 8 m B 3 m 5 m 3 m FAB =10 kN K 4 m H A ELEMENT LOCATIONS
Q2: The pin-connected structure shown in figure below consists of a rigid beam ABCD and two supporting bars. Bar (1) is a bronze alloy [E= 105 GPa] with a cross-sectional area of A1= 290 mm2. Bar (2) is an aluminum alloy [E=70 GPa] with a cross-sectional area of A2= 650 mm?. If a load of P= 30 kN is applied at B, determine: (a) the normal stresses in both bars (1) and.(2) (b) the downward deflection of point B on the rigid bar. (1) 2250 mm 670 mm 480 mm 650 mm 1600 mm P = 30 kN
A bar AB of diameter 40 mm and 4 m long is rigidly fixed at its ends. A torque of 600 Nm is applied at a section of the bar, 1 m from end A. The fixing couples T and T at the supports A and B, respectively, are
A two member truss ABC is shown in the figure. The force (in kN) transmitted in member AB and BC is
BJ in kN JC in kN CK in kN JK in kN CD in kN Calculate the force in member
Problem 4 In the structure shown below, each of the rods BD and CE is made of brass (E = 105 GPa) and has a cross- sectional area of 200 mm?. Determine the deflection of end A of the rigid member ABC caused by the 2-kN load. (Hint: 1) consider equilibrium using the free body diagram of the rigid member ABC, 2) consider compatibility between the deflections of points B and C, 3) consider force-deformation relation of rods BD and CE) DO E 2 kN 225 mm В F 550 mm 75 mm 100 mm
For the frame and load shown in the figure,determines the components of all the forces thatthey act on the ABE element.