A (14-ft long) simply supported timber beam subjected to shear force of (3-kip) as shown in Figure. Determine the magnitude of the shear stress in the beam at * .point H. Use I = 1687.5 in4 3 in. H 15 in. K 1 in. 6 in. 32 psi O 20.52 psi O 12.5 ksi 12.5 psi O

A (14-ft long) simply supported timber beam subjected to shear force of (3-kip) as shown in Figure. Determine the magnitude of the shear stress in the beam at * .point H. Use I = 1687.5 in4 3 in. H 15 in. K 1 in. 6 in. 32 psi O 20.52 psi O 12.5 ksi 12.5 psi O

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter5: Stresses In Beams (basic Topics)

Section: Chapter Questions

Problem 5.10.10P: A hollow steel box beam has the rectangular cross section shown in the figure. Determine the maximum...

See similar textbooks

Related questions

Q: 15. A simply supported beam is 50 mm by 150 mm in cross section and 5 m long. If the flexural stress…

A: Given that, Cross-section of beam, A=50 mm×150 mm,Length of beam, L=5 m,Flexural stress of beam,…

Q: The internal shear force V at a certain section of an aluminum beam is 12.8 kN. If the beam has the…

Q: Question 1) F=36 kN single load, M=48 kN.m moment and w=20 kN/m distributed load act on the beam…

Q: The beam shown below has a cross section of channel shape with width b=D400 mm and height h=80 mm,…

A: Answer: The maximum tensile and compressive stresses in the beam are 64.68 MPa and 16.36 MPa…

Q: A cantilever beam of length L= 5 m supports a load P = 8 kN, shown in figure. The beam is made of…

A: The given values are - P= 8kN , b= 110 mm ,h= 190 mm , L= 5m

Q: 10 kN 3 kN/m 100 mm 200 mm B 1.5 m 1.5 m 2.2 m

Q: H.W.3 /The simply supported beam in Figure below has a rectangular cross section with dimension (30…

Q: A laminated beam is composed of four planks, each 6 in. by 2 in., glued together to form an outside…

Q: 80 kN 80 kN 90 cm 90 cm N.A. 80 kN 80 kN (a)

A: Since it can be seen from the figure that the loading is symmetrical about the mid-point of the…

Q: A simple beam is loaded as shown in the figure below If the load P 120 kN determine the maximum…

A: Normal stress will be maximum at cross section 'B'Net normal stress = Normal stressaxial+Normal…

Q: A cantilever beam with length, L = 5 m, is supporting a downward concentrated load, P = 88 kN, at…

Q: A wood box beam is constructed of two 260 [mm] x 50 [mm] boards and two 260 [mm] x 25 [mm] boards…

A: When the load is applied to the box beam it experiences shear stress. This stress force will act at…

Q: Q2: For the beam shown in Figure (2), determine transverse shear stresses at points E, F and G on…

A: Find the transverse shear stress .

Q: Determine the minimum height h of the beam shown in Figure below, if the flexu ral stress is not to…

Q: A wood box beam is constructed of two 260 [mm] x 50 [mm] boards and two 260 [mm] x 25 [mm] boards…

Q: A simply supported beam supports the loads shown in the figure. The cross-sectional dimensions of…

Q: The overhanging beam shown in Figure 2 is subjected to two point loads, P at the free end D and 2P…

A: NOTE:- As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly repost…

Q: Asimply supported wood beam that is 4,5 m long carries a 32 kN concentrated load at 8. The…

Q: A cantilever beam of length L1= 250 mm, L2= 250 mm, and L3= 300 mm supports two loads of P1 = 4 kN…

Q: 2 kN 4 kN For the cantilever beam shown in figure. Determine the shear stress at point B on the web…

A: The free body diagram of the beam is as follows: Calculate the shear force R for the section a-a as…

Q: Q2: For the beam shown in Figure (2), determine transverse shear stresses E, F and G on the cross…

A: GivenP=100kNINA=470016 mm4

Q: Determine the flexural stress and shear stress of a rectangular beam loaded as shown in the figure…

A: Given data: For hallow rectangle the loading diagram is given below

Q: In the case of loading in the figure below, by drawing the N-V-M-Ɵ-y diaphragms, sınce the…

A: given data; ⇒lets take;⇒ reaction force at point A=RA⇒ reaction force at point B=RB⇒ reaction…

Q: The beam given in the figure below is subjected to the uniform distributed load of w=50 kN/m. (a)…

Q: The cantilever beam is subjected to a concentrated load of P-50 kips. The cross-sectional dimensions…

A: Given data: ◆ The load applied at the free end of the cantilever beam: P = 50 Kips ◆ The dimensions…

Q: A simply supported beam of length 6 m carries a load of 4 kN/m along its span. The beam cross…

A: ∑MA=0 6RB=4×6×3RB=12 KN shear force is maximum at supports Vmax=RB=12 KN I=2.36×109 mm4 Shear force…

Q: A simply supported beam is subjected to alinearly varying distributed load q(x) =(x/L)q0 withmaximum…

A: AY=Reaction force at ABy=Reaction force at Bq(x)=x4q0

Q: A simply supported wood beam of rectangular cross section and span length 1.2 m carries a…

Q: Rectangular cross-section and width given the loading state in the figure Bending safety stress of…

Q: 6 kN/m +x 18 kN-m A B D 3.0 m- 3.0 m- 4.0 m An l-section Beam ABCD is pin supported at points B and…

A: For solution refer below images.

Q: A horizontal beam AB of 1.8-2 cross-sectional dimensions (b X h = 19 mm x 200 mm) is supported by an…

Q: A beam of T-section is supported and loaded as shown in the figure below. The cross section has…

Q: Rectangular cross-section and width given the loading state in the figure Bending safety stress of…

Q: Beam AB is supported as shown in Figure below. Tie rod (1) is attached at B and C with double‐ shear…

Q: A composite beam is made of two brass [E =101 GPa] plates bonded to an aluminum [E =64 GPa] bar, as…

Q: A cantilever beam of length L1= 250 mm, L2= 250 mm, and L3= 300 mm supports two loads of P1 = 5 kN…

Q: The figure shows the cross-section of a beam that is composed of a wide-flanged structural profile,…

A: Given data Vertical shear force (F)=25 kN No of screw =4No of steel plate =2Diameter of screw…

Q: Q2, For the composite section beam shown in figure below. Determine the maximum bending stresses.…

A: N = ratio of Elastic modulii= Esteel /Ewood = 10 we will now develop the equivalent beam

Q: Calculate the maximum shear stress o h, 10.1 in., and the shear force V = 4,700 Ib. (Enter the…

A: Givenb=14int=0.5inh=11inh1=10.1inV=4700lb

Q: A 14-ft-long simply supported timber beam carries a P= 10.5-kip concentrated load at midspan as…

Q: wooden beam AB supporting two concentrated loads P has a rectangular cross section of width b = 100…

Q: A beam carries a uniform distributed load of intensity w in N/m. It was determined that Vmax = 7.5w…

A: Note: Dear Student! As per our guidelines, we are only allowed to answer three sub-parts of a…

Q: The beam AB, shown in Figure 1a, with length L = 4.5 m is subjected to a uniform distributed load w…

A: A beam is defined as a structural member subjected to transverse shear load during its…

Q: A solid rectangular homogeneous section (total length = 7.2m) is simply supported, where b = 50 mm…

Q: A cantilever beam of length L1= 250 mm, L2= 250 mm, and L3= 300 mm supports two loads of P1 = 8 kN…

Q: For the beam shown below, calculate the minimum value of b considering that allowable normal stress…

A: As per given question calculate the minimum value of b considering that allowable normal stress and…

Q: aluminum steel A composite beam is a built-up section made of aluminium and reinforced with a steel…

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

A (14-ft long) simply supported timber beam subjected to shear force of (3-kip)
as shown in Figure. Determine the magnitude of the shear stress in the beam at
*.point H. Use I = 1687.5 in4
3 in.
H
15 in.
K
1 in.
6 in.
32 psi O
20.52 psi
12.5 ksi
12.5 psi

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

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

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 W 12 x 50 steel wide-flange beam and a segment of a 4-inch thick concrete slab (see figure) jointly resist a positive bending moment of 95 kip-ft. The beam and slab are joined by shear connectors that are welded to the steel beam. (These connectors resist the horizontal shear at the contact surface.) The moduli of elasticity of the steel and the concrete are in the ratio 12 to 1. Determine the maximum stresses r1 and xtin the steel and concrete, respectively. Note: See Table F-l(a) of Appendix F for the dimensions and properties of the steel beam.
A beam of wide-flange shape, W 8 x 28, has the cross section shown in the figure. The dimensions are b = 6.54 in., h = 8.06 in., fw = 0.285 in., and tf = 0.465 in.. The loads on the beam produce a shear force V = 7.5 kips at the cross section under consideration. Use center line dimensions to calculate the maximum shear stress raiaxin the web of the beam. Use the more exact analysis of Section 5,10 in Chapter 5 to calculate the maximum shear stress in the web of the beam and compare it with the stress obtained in part .
Solve the preceding problem for a box beam with dimensions h = 0.5 m, h = 0.18 m, and t = 22 mm. The yield stress of the steel is 210 MPa.
A weight W = 4000 lb falls through a height h = 0.5 in, onto the midpoint of a simple beam of length L = 10 ft (see figure). Assuming that the allowable bending stress in the beam is = 18,000 psi and E = 30 x 10* psi, select the lightest wide-flange beam listed in Table F-l(a) in Appendix F that will be satisfactory.
The cross section of a sand wie h beam consisting of aluminum alloy faces and a foam core is shown in the figure. The width b of the beam is 8.0 in, the thickness I of the faces is 0.25 in., and the height hcof the core is 5.5 in. (total height h = 6.0 in). The moduli of elasticity are 10.5 × 106 psi for the aluminum faces and 12.000 psi for the foam core. A bending moment M = 40 kip-in. acts about the z axis. Determine the maximum stresses in the faces and the core using (a) the general theory for composite beams and (b) the approximate theory for sandwich beams.
A cantilever beam AB having rectangular cross sections with varying width bxand varying height hxis subjected to a uniform load of intensity q (sec figure). If the width varies linearly with x according to the equation hx= bBxiL^ how should the height hxvary as a function of v in order to have a fully stressed beam? (Express hxin terms of the height hBat the fixed end of the beam.)
A cantilever beam(Z, = 6 ft) with a rectangular cross section (/> = 3.5 in., h = 12 in.) supports an upward load P = 35 kips at its free end. (a) Find the state of stress ((7T, o^., and r in ksi) on a plane-stress element at L/2 that is i/ = 8 in. up from the bottom of the beam. Find the principal normal stresses and maximum shear stress. Show these stresses on sketches of properly oriented elements. (b) Repeat part (a) if an axial compressive centroidal load N = 40 kips is added at B
The composite beam shown in the figure is simply supported and carries a total uniform load of 40 kN/m on a span length of 4.0 m. The beam is built of a southern pine wood member having cross-sectional dimensions of 150 mm × 250 mm and two brass plates of cross-sectional dimensions 30 mm × 150 mm. Determine the maximum stresses (7b and ctwin the brass and wood, respectively, if the moduli of elasticity are EB= % GPa and Ew= 14 GPa. (Disregard the weight of the beam.) Find the required thickness of the brass plates so that the plate and wood reach their allowable stress values of Eb= 70 MPa and t Ew= 8.5 MPa simultaneously under the maximum moment. What is the maximum moment?
A simple beam that is 18 ft long supports a uniform load of intensity q. The beam is constructed of two C8 x 11.5 sections (channel sections or C-shapes) on either side of a 4 × 8 (actual dimensions) wood beam (see the cross section shown in the figure part a). The modulus of elasticity of the steel (E; = 30,000 ksi) is 20 times that of the wood (Ew). (a) If the allowable stresses in the steel and wood are 12,000 psi and 900 psi, respectively, what is the allowable load qmax Note: Disregard the weight of the beam, and see Table F-3(a) of Appendix F for the dimensions and properties of the C-shape beam. (b) If the beam is rotated 90° to bend about its v axis (see figure part b) and uniform load q = 250 lb/ft is applied, find the maximum stresses trs and crw in the steel and wood, respectively Include the weight of the beam. (Assume weight densities of 35 lb/ft3 and 490 lb/ft3 for the wood and steel, respectively.)
The hollow box beam shown in the figure is subjected to a bending moment M of such magnitude that the flanges yield but the webs remain linearly elastic. (a) Calculate the magnitude of the moment M if the dimensions of the cross section are A = 15 in., A] = 12.75 in., h = 9 in., and ey =7.5 in. Also, the yield stress is eY = 33 ksi. (b) What percent of the moment M is produced by the elastic core?
A hollow box beam with height h = 16 in,, width h = 8 in,, and constant wall thickness r = 0.75 LiL is shown in the figure. The beam is constructed of steel with yield stress ty = 32 ksi. Determine the yield moment My, plastic moment A/p, and shape factor.
A wide-flange member (W200 × 22.5) is compressed by axial loads that have a resultant P acting at the point shown in the figure. The member has modulus of elasticity E = 200 GPa and pinned conditions at the ends. Lateral supports prevent any bending about the weak axis of the cross section. If the length of the member is 6.2 m and the deflection is limited to 6.5 mm. what is the maximum allowable load Pallow.