The structure in the figure is composed of two rigid bars (AB and CD) and two vertical rods made of aluminum and steel. All connections are pin joints. Determine the maximum force P that can be applied to the structure if the vertical displacement of its point of application is limited to 3 mm. Neglect the weights of the members. Answer must be in kN. For Aluminum: A = 311 mm2 and E = 68 GPa, for steel: A = 482 mm² and E = 209 GPa. Aluminum 3m Steel 3m 4m 4m

The structure in the figure is composed of two rigid bars (AB and CD) and two vertical rods made of aluminum and steel. All connections are pin joints. Determine the maximum force P that can be applied to the structure if the vertical displacement of its point of application is limited to 3 mm. Neglect the weights of the members. Answer must be in kN. For Aluminum: A = 311 mm2 and E = 68 GPa, for steel: A = 482 mm² and E = 209 GPa. Aluminum 3m Steel 3m 4m 4m

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: All members of the truss have the same length L=4.2 m. Determine the MAGNITUDE (N) of force…

Q: Determine the coordinates of the mass center of the welded assembly of uniform slender rods made…

Q: At joint D, a truss is used to sustain loads of P = 600 N and P2 = 1300 N, as shown in Figure A. No…

Q: The rigid beam of negligible weight is supported by a pin at O and two vertical Rods. Find the…

Q: If the stress in the steel is A100 = 100 ksi, what is the gross area of the steel that is required…

Q: P5 The pin-connected structure shown in the figure consists of a rigid beam ABCD and two supporting…

Q: A ruler is clamped clamped at weight 0-36 ку weight is at = deflection at deflection at It is x=17cm…

A: A ruler is clamped at x=3 cm and x=30 cm,Weight of 0.36 kg is concentrated at x=17 cmDeflection at…

Q: The truss shown in Figure 1 is constructed such that members AB and BC are of equal length.…

A: A Truss ABC is given with 2 hinged supports at A and C, a point load of magnitude 12 kN applied at B…

Q: Determine the forces in all bars of the truss shown in the given figure. Indicate tension or…

Q: Please show me how to solve this with the stiffness method

A: Calculate the angle:tan∅=34tan∅==36.87°Degree of freedom =5No degree of freedom at joint 1 due to…

Q: EI А В

A: Consider the beam of case 1: Degree of Redundancy = 2-3=-1 Since DOR=-1. Therefore, the beam is not…

Q: A rigid bar AB is supported by three rods. A load P = 375 kN is applied to the bar. The modulus of…

Q: Question 2: calculate the forces in AB, BC and AC of the following Truss R kN R = Last two digits of…

A: R=6kN

Q: 400 Ib 300 lb 15 ft 25 ft 15 ft B. 50 Ib A

Q: For the truss shown in Figure 2.3a, determine the force in member GH if m = 4 m, n = 7 m, a = 87°,…

A: Given:- a truss is given as shown below m= 4m n= 7m P= 4.5kN Alpha= 87°

Q: 3. The rigid bar ABCD of negligible weight is initially horizontal, and the steel rods attached at A…

Q: The torsional assembly shown in figure below consists of a solid bronze (GB = 45 GPa) shaft C and a…

A: It is asked to find shear stress in Aluminium, Bronze and Steel.

Q: Determine the force in each member of the truss and state if the members are in tension or…

Q: A В D 400 mm, 625 mm 1. The aluminum rod, AB (G = 27 GPa), is bonded to a brass rod BD (G = 39 GPa)…

A: Given:- The modulus of rigidity of aluminum rod AB = 27 GPa The modulus of rigidity of brass rod BD…

Q: Determine the maximum force P

Q: Determine the coordinates of the mass center of the welded assembly of uniform slender rods made…

Q: Problem 3: Put 32.5 into a steel tube 2.4 meters long, 34 mm radius and 1.5 mm thick. A circular bar…

A: Given, T= 900 Nm GS = 77 GPa GA= 26 GPa radius of steel = 34 mm thickness = 1.5 mm

Q: Determine the coordinates of the mass center of the welded assembly of uniform slender rods made…

A: Determine the coordinates of the mass center of the welded assembly of uniform slender rods made…

Q: Determine the force in member CD of the truss shown in the figure. Circled values are areas in…

Q: 8.10 This is steel, consisting of 9 rods that are articulated together in the nodes. There is a…

A: Using equilibrium conditions, ∑H = 0HA = 0∑V = 0RA+RB = P∑M at A = 0P×2 = RB×4RB = P2Using the above…

Q: All bar equal area =A All bars the same modulus of elasticity = E All bars the same coefficient of…

A: Bar BG is heated by 100 degrees centigrade, From Geometry it is clear that ∠AGB = 45° Axial force in…

Q: The bar ABC is fixed at A and restricted at C by two 16-mm diameter vertical steel bars, 1500 mm…

Q: Determine the forces in all bars of the truss shown in the given figure. Indicate tension or…

Q: 214. The rigid bars AB and CD shown in the figure are supported by pins at A and C and the 2 rods.…

Q: A bar made of a metal alloy has the dimensions shown in Figure. If an axial force of P=10xb kN is…

A: E=210GPA

Q: For the design of the bar force members at AE, BC, and BE, calculate the steel's gross are stress in…

A: To calculate the steel’s gross area-

Q: Determine the force in each member of the loaded truss. The force is positive if in tension,…

Q: Determine the force in the member CD of the truss and state whether it is in tension or compression…

A: At Joint C,

Q: Force member CF is what? P= 78 kN Subject: Structural Theory

A: To find force in member CF

Q: 600 400 600 800 Gl P2 P3 E F Tha at y pnywty A - 100 mm" E- 200 GPa A- 150 mm E- 200 GPa A130 mm E-…

Q: Q/ Using the method of consistent deformation, find support reaction of the frame shown; assume EI=…

A: Of Reactions at Supports using method of consistent deformation or force method of Analysis Hence…

Q: The truss, used for supporting a structure, is loaded as shown in Figure 3. Determine the force in…

Q: ABCD is a rigid rod. Cross section area of AE=BF=400 mm2 Find the normal stresses of the bars ae…

A: For the sum of the moment at the point C∑MC = 0⇒ 50×60 - RA ×1000 - RB×800 = 0⇒RA + .8RB = 3…

Concept explainers

Connections

In steel structures, connections are the members that join two or more steel members. The connections are the most important members of any steel structure, and hence, they are designed more carefully. The majority of the construction cost of steel structures is incurred due to the connections. The design of connections is done as per the recommendations and specifications of the American Institute of Steel Construction (AISC).

Question

The structure in the figure is composed of two rigid bars (AB and CD) and two vertical rods made of aluminum
and steel. All connections are pin joints. Determine the maximum force P that can be applied to the structure
if the vertical displacement of its point of application is limited to 3 mm. Neglect the weights of the members.
Answer must be in kN.
For Aluminum: A = 311 mm² and E = 68 GPa, for steel: A = 482 mm² and E = 209 GPa.
Aluminum
3m
Steel
3m
4m
4m

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 5

Step 6

Step by step

Solved in 6 steps with 6 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

Determine the the vertical component of the displacement at point"d" for the shown truss. The areas are given in parenteses (mm²) along each member, and the modulus of elasticity is 200 GPa. (2 500) (1500) 6 m (1 500) (1-500) (000 €) 6 m 180 kN 3m 8 m
Explain
1.1
i need solve in 20 min please
k=17 p=117kN Strength of material question. without taking into account wire thickness.
The aluminum rod AB (G = 27 GPa) is bonded to the brass rod BD (G 39 GPa). Knowing that portion CD of the brass rod is hollow and has an inner diameter of 40 mm, determine the angle of twist at A. =
Determine the coordinates of the mass center of the welded assembly of uniform slender rods made from the same bar stock. Answers: (X,Y,Z) = (i 1.11 a i ) a
P5 The pin-connected structure shown in the figure consists of a rigid beam ABCD and two supporting bars. Bar AE is an aluminium alloy [EAE 70 GPa] with a cross-sectional area of AAE = 2,400 mm². Bar CF is a bronze alloy [ECF = 100 GPa] with a cross-sectional area of ACF = 6,000 mm². A downward load P=298 kN is applied at point B. Determine the normal stress created in bras AE and CF. E 2.9 m 0.8 m B P 1.5 m 3.3 m 1.2 m D
The bars of the truss each have a cross-sectional area of 1.92 in². Determine the average normal stress in ksi in member BD due to the loading P = 10 kips. NOTE: use absolute value for Normal stress. The final answer should have 2 decimal places where: L1 =3.8 ft. L2 = 4.3 ft. B L1 D L2 E 0.75 P L2
The question is in the picture. Thanks
P5 The pin-connected structure shown in the figure consists of a rigid beam ABCD and two supporting bars. Bar AE is an aluminium alloy [EAE 70 GPa] with a cross-sectional area of AAE = 2,400 mm². Bar CF is a bronze alloy [ECF = 100 GPa] with a cross-sectional area of ACF = 6,000 mm². A downward load P=298 kN is applied at point B. Determine the normal stress created in bras AE and CF. E 2.9 m 0.8 m B P 1.5 m 3.3 m 1.2 m D
The two vertical steel [E = 200 GPa] rods that support rigid bar ABCD are initially free of stress. Rod (1) has an area of A₁ = 350 mm² and a length of L₁ = 2.1 m. Rod (2) has an area of A₂ = 375 mm² and a length of L₂ = 1.5 m. Assume dimensions of a = 3.2 m, b = 1.1 m, and c = 1.4 m. After a load of P = 130 kN is applied to the rigid bar at D, determine: (a) the normal stresses in rods (1) and (2) (b) the magnitude of the downward deflection of the rigid bar at D. y,v (2) a L2 Rigid bar L₁ Answer: (a) σ₁ = i 02= i (b) VD= i (1) B MPa MPa mm -X,U b C ↓ С D P