Where is the centroid of the cross-section with respect to the bottom in mm?In reference to Item 1, calculate for the moment of inertia with respect to the neutral axis in mm4.In reference to Item 1, determine the maximum tension bending stresses produced in segment BC of the beam in MPa.In reference to Item 1, determine the maximum compression bending stresses produced in segment BC of the beam in MPa. ITEM 1: Two vertical forces are applied to a simply supported beam (Figure 1.1) having the cross section shown inFigure 1.2.12 kN12 kNBD1 m3 m1mFigure 1.1. Simply supported beam for Item 1.200 mm15 mm160 mm9 mmFigure 1.1. Cross-sectional dimensions for Item 1.

Answered: Image /qna-images/answer/011b3ba2-1118-4af2-9eca-c97ddc52fb59.jpg

Answered: to Item 1, calculate for the moment of…

to Item 1, calculate for the moment of inertia with respect to the neutral axis in mm4. In reference to Item 1, determine the maximum tension

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 1.9.6P: A steel pad supporting heavy machinery rests on four short, hollow, cast iron piers (see figure)....

See similar textbooks

Related questions

Q: From the options below, choose the diagram that best represents the internal bending moment…

Q: 1. For the beam shown below, calculate the support reactions. 200 lb Fixed support 38 Ib/ft 6 ft 6…

Q: 5 in A beam with the cross-section as shown is subjected to a negative moment of 200 kip.in about…

Q: 75 mm 15 mm

A: given:

Q: Derive the expression for the maximum deflection of a simply supported beam of negligible weight…

Q: Calculate the following: Axial stress Bending stress Note: Diameter of the vertical column is 2…

A: Given data F=10000 lbD=2 in

Q: Can the flexure formula be applied only when bending occurs principal axis of inertia for the…

A: The flexure formula can be applied only when bending occurs about axes that represent the principal…

Q: 10 in 5) Find the centroid ( â, ŷ ) and Ix for the shape shown. Use a large rectangle and a small…

A: Solution: Let large rectangle area A1=10×15.5=155in2 Let small rectangle area A2=6.5×6=39in2 We…

Q: A section of the beam is subjected to combined tensile stress of 150 MPa tensile stress of 60 MPa…

Q: Q1: For the Concrete Beam shown in Fig. down , Determine For Front Cross Section Area : k And l and…

A: Mass moment of inertia measures a body resistance towards rotational motion. If a body have more…

Q: The cross-sectional area of a wide-flange l-beam has the dimensions shown. Obtain a close…

A: Answer: Ixx¯ = 649.067 in4

Q: A manufacturer wants to design a hydraulic floor crane that can lift an engine with a maximum weight…

A: To find moment of inertia

Q: From the bending diagram, given the value of moment is 4000 Ib.ft. The value (C) from the neutral…

Q: Q-2 For a beam of hollow rectangular section of outer geometry of b x d and the inner geometry of b₁…

A: Given: Area moment of inertia about its axis passing through the plane (the plane of area of cross…

Q: (c) Calculate the maximum compressive bending stress (Express the stress in Pa or MPa ) and…

Q: A flanged wooden shape is used to support the loads shown on the beam in Figure (a). The dimensions…

Q: Floor joists 64.8 mm wide by 106 mm high, simply supported on a 4.3 m span, carry a floor loaded at…

A: Horizontal supports that go from wall to wall, wall to beam, or beam to beam are known as joists.…

Q: A femur is experiencing a bending moment of 50NM. Assume the femur has the shape of a cylinder, with…

Q: A simply supported 3 m long beam with a point load of 5 kN and a cross section of 50 mm * 80 mm is…

Q: For section T below, subject to eccentric loads, determine: a) The position of the centroid; b)…

Q: The cross-section of a rectangular beam 25 mm by 72 mm and is subjected to a combined loading of 65…

Q: Q1: For the Concrete Beam shown in Fig. down, Determine For Front Cross Section Area : Ix And and…

A: Mass moment of inertia measures a body resistance towards rotational motion. If a body have more…

Q: For the figure shown below, compute the bending moment in section 1. Neglect the weights of the…

Q: The cross-sectional area of a wide-flange l-beam has the dimensions shown. Obtain a close…

Q: Compute the midspan value of EI 8 for the beam loaded as shown in Figure. 600 N/m 3 m 2 m R₁ Figure…

Q: 3. For the beam shown below, calculate the support reactions. 80 lb 38 Ib/ft A B 6 ft 8 ft 6 ft

Q: A simply supported beam carrying floor joist shown in Figure 6.22 is made of rectangular wood having…

A: Given data: P=1 kN Need to determine the bending stress.

Q: Question 3 a. A freight-car axle AB is loaded approximately as shown in figure 3a, with the forces P…

Q: For the cross section in problem 1 (which is also shown below), you are asked to determine the…

Q: A stéél tilever beam with a 1-in-diameter round cross section and length of 10 in is loaded at the…

A: givendaimeter of round cantilever beam d=1inlength of cantilever beam L=10intransverse force apllied…

Q: For the frame shown in the figure , the bending moment at Bequals

Q: A steel bar 140mm diameter is used to support a pulley block.if the bar is simply supported over a…

Q: Figure Q1 (a) shows the beam is subjected to a moment of 100 kN.m. (i) Compute the centroid and…

Q: A B D When the CD temperature rises by 60 ° C, calculate the internal force of the column with a…

Q: For the simply supported beam shown and its cross-section, and considering the values L, and t…

A: Since you have posted a question with multiple sub-parts, we will solve first part for you. To get…

Q: Figure Q2a shows an asymmetric cross-section of solid beam, calculate the centroid for the beam…

A: Consider sections 1,2 and 3

Q: * For the cantilever beam shown. find the value of Flexural stress at point :C due to the 4 KN load…

A: Shear force. V= 4 kN= 4000 N Diameter, d= 100 mm To find: Value of flexural stress at point C and…

Q: Q2: For the beam shown below in (fig 2), calculate the location of the centroidal axis ?', for the…

Q: (b) A hollow rectangular section has outside dimensions 30cm x material of the section is 2.5cm…

Q: 1. For the beam shown below, calculate the support reactions. 200 lb Fixed support 38 Ib/ft 60° 6 ft…

Q: 3. For the beam shown below, calculate the support reactions. 80 lb 38 Ib/ft A 6 ft 8 ft 6 ft 00

Q: A 13-kN hydraulic press for removing and reinstalling bearings in small-to medium-sized electric…

A: Draw a diagram showing the centroidal axis and neutral axis in the cross-section. Here, CA is the…

Q: For the beam in Figure 3.1, draw the influence lines for reactions at B, C, E, and G, and moments at…

A: .

Q: Q1: For the Concrete Beam shown in Fig. down, Determine For Front Cross Section Area : Ix And l and…

A: Mass moment of inertia measures a body resistance towards rotational motion. If a body have more…

Q: Find the section modulus for a beam of circular cross section with the diameter of 90mm. The section…

A: Diameter(D)=90mm

Q: A cantilever beam, 80 mm wide by 240 mm high and 8 m long, carries a load that varies uniformly from…

A: Given:b=80 mmd=240 mmL=8 mw=1100 N/m

Concept explainers

Combined Loading

Any functioning component, such as machine parts, structural members, pressure vessels, and so on, are all under the influence of more than one force. When anybody is under the influence of more than one force such as shear forces, bending moments, axial forces, torsion, and so on, then such body is said to be under combined loading. A very practical example of combined loading is the crankshaft of an internal combustion engine (IC engine). The crankshaft of the IC engine is under high rpm, which is caused due to the torsional forces. Due to the presence of piston, counterbalances, and internal imbalances, the crankshaft experiences lateral forces and due to the rise in temperature, the crankshaft undergoes thermal expansion, which pulls the crankshaft along the axial direction and lateral direction. The presence of unbalanced loads along the periphery of the crankshaft also induces a bending moment.

Question

Where is the centroid of the cross-section with respect to the bottom in mm?
In reference to Item 1, calculate for the moment of inertia with respect to the neutral axis in mm⁴.
In reference to Item 1, determine the maximum tension bending stresses produced in segment BC of the beam in MPa.
In reference to Item 1, determine the maximum compression bending stresses produced in segment BC of the beam in MPa.

ITEM 1: Two vertical forces are applied to a simply supported beam (Figure 1.1) having the cross section shown in
Figure 1.2.
12 kN
12 kN
B
D
1 m
3 m
1m
Figure 1.1. Simply supported beam for Item 1.
200 mm
15 mm
160 mm
9 mm
Figure 1.1. Cross-sectional dimensions for Item 1.

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 2 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 square wood platform is 8 ft × 8 ft in area and rests on masonry walls (see figure). The deck of the platform is constructed of 2-in. nominal thickness tongue-and-groove planks (actual thickness 1.5 in.; sec Appendix CL) supported on two S-ft long beams. The beams have 4 in. × (i in. nominal dimensions (actual dimensions 3.5 in. × 5.5 in.). The planks arc designed to support a uniformly distributed load n ( lb/ft" i acting over the entire top surface of the platform. I be allowable bending stress for the planks is 2400 psi and the allowable shear stress is 100 psi. W ben analyzing the planks, disregard their weights and assume that their reactions are uniformly distributed over the top surfaces of the supporting beams. (a) Determine the allowable platform load Mr. (lb/ft2) based upon the bending stress in the planks. (b) Determine the allowable platform load if-. (lb/ft-) based upon the shear stress in the planks. (c) Which of the preceding values becomes the allowable load alolow on the platform? Hints: Use care in constructing the loading diagram for the planks, noting especially that the reactions are distributed loads instead of concentrated loads. Also, note that the maximum shear forces occur at the inside faces of the supporting beams.
A tie-down on the deck of a sailboat consists of a bent bar boiled at both ends, as shown in the figure. The diameter dBof the bar is 1/4 in., the diameter D Wof the washers is 7/8 in., and the thickness is of the fiberglass deck is 3/8 in. If the allowable shear stress in the fiberglass is 300 psi, and the allowable bearing pressure between the washer and the fiberglass is 550 psi, what is the allowable load P allowon the tie-down?
-15 A composite beam is constructed froma wood beam (3 in. x 6 in.) and a steel plate (3 in, wide). The wood and the steel are securely fastened to act as a single beam. The beam is subjected to a positive bending moment M. = 75 kip-in. Calculate the required thickness of the steel plate based on the following limit states: Allowable compressive stress in the wood = 2 ksi Allowable tensile stress in the wood = 2 ksi Allowable tensile stress in the steel plate = 16 ksi Assume that Ew= 1,500 ksi and es= 30,000 ksi.
A seesaw weighing 3 lb/ft of length is occupied by two children, each weighing 90 lb (see figure). The center of gravity of each child is 8 ft from the fulcrum. The board is 19 ft long, 8 in. wide, and 1.5 in. thick. What is the maximum bending stress in the board?
Continuous cable A DB runs over a small friction less pulley al D to support beam OABC, which is part of an entrance canopy for a building (see figure}. The canopy segment has a weight W = 1700 lb that acts as a concentrated load in the middle of segment AB. (a) What is the maximum permissible value of load P at C if the allowable force in the cable is 4200 lb? (b) If P = 2300 lb, what is the required diameter of pins A, B, and D? Assume that the pins are in double shear and the allowable shear stress in the pins is 10 ksi.
A large precast concrete panel for a warehouse is raised using two sets of cables at two lift lines, as shown in the figure part a. Cable 1 has a length L1 = 22 Ft, cable 2 has a length L2= 10 ft, and the distance along the panel between lift points Band D is d = 14 ft (see figure part b). The total weight of the panel is W = 85 kips. Assuming the cable lift Forces F at each lift line are about equal, use the simplified model of one half of the panel in figure part b to perform your analysis for the lift position shown. Find the required cross-sectional area AC of the cable if its breaking stress is 91 ksi and a factor of safety of 4 with respect to failure is desired.
The accompanying figure shows the arrangement of beams and girders that are used to support a 5 in. reinforced concrete floor for a small industrial building. Design the beams and girders assuming that they are simply supported. Assume full lateral support of the compression flange and a live load of 80 psf. Concrete weight is 180 lb/ft3.t
Floor joists are structural members which support flooring in structures, as in the diagram on the right. The floor sits upon the minor length of the joist, and the joists are set at equal spacing to reach the desired floor stiffness. How many 2x6 joists would it take to equal the floor stiffness of the same floor supported by ten (10) 2x12 joists of the same species?
What is the Magnitude of the Maximum Stress in the beam below if? 6 kN/m L = 11 m Beam width, b = 186 mm Beam Height, h = 416 mm Give your answer in MPa.
For the truss given below, it is desired to determine the normal efforts that act on the members, so that, thus, possible constraints for its design are possible. Consider that at point A there is a second gender support; and at point D, a first-class support. As this is asked: what is the effort acting on bar AB? Is it guidance or assessment?Source: Hibbeler (2004, p. 588). HIBBELER, R. C. Resistance of Materials. 5. ed. Rio de Janeiro: Technical and Scientific Books Publisher, 2004. Question 1 options: a) A compression force of 100 kN acts on bar AB. B) A tensile effort of 100 kN acts on bar AB. c) A compressive force of 141.42 kN acts on bar AB. d) A compression force of 200 kN acts on bar AB. e) A tensile effort of 141.42 kN acts on bar AB.
A cantilever beam, 80 mm wide by 260 mm high and 9 m long, carries a load that varies uniformly from zero at the free end to 1200 N/m at the wall. Determine the magnitude of the stress in a fiber 60 mm from the top of the beam at a section 4 m from the free end. Answer must be in MPa
Explain the most critical loading condition for fuselage central part structure of airliner aircraft. Draw figures of structure elements to resist this loading.