The T-beam is made from two plates welded together as shown. Determine the maximum uniform distributed load w that can be safely supported on the beam if the allowable bending stress is σallow = 159 MPa and the allowable average shear stress is Tallow = 71 MPa. [w = 11.4 kN/m] A -1.5 m WO -1.5 m- 200 mm T 20 mm 200 mm 20 mm

The T-beam is made from two plates welded together as shown. Determine the maximum uniform distributed load w that can be safely supported on the beam if the allowable bending stress is σallow = 159 MPa and the allowable average shear stress is Tallow = 71 MPa. [w = 11.4 kN/m] A -1.5 m WO -1.5 m- 200 mm T 20 mm 200 mm 20 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

Chapter6: Stresses In Beams (advanced Topics)

Section: Chapter Questions

Problem 6.10.17P

See similar textbooks

Related questions

Q: Wo d B C kN/m Answer: Wo

Q: Determine the internal shear force (in kN) at point E in the compound beam shown below. Make sure to…

Q: A beam subjected to pure bending moment M = 50j + 100k kN-m has a channel section as shown below on…

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

A: Draw the schematic diagram of the beam representing the forces.

Q: Determine the minimum allowable height (h) in mm of the beam shown in the figure if the bending…

Q: The simply supported beam is subjected to the force F = 700 N and the uniform distributed load w…

Q: The beam is supported by a roller at B and a pin at C and is subjected to the distributed load shown…

A: Step 1: If you find this answer good please rate it helpful. If any query then raise it.Thank…

Q: The wood has an allowable normal stress of σallow = 15 MPa and an allowable shear stress ofτallowt =…

A: Given data: Allowable bending stress=15MPa Allowable shear stress=1.33MPa

Q: Determine the average shear stress developed in the nails within region AB of the beam. The nails…

A: Step 1: Step 2: Step 3: Step 4:

Q: The 46-mm diameter shaft is supported by a smooth thrust bearing at A and a smooth journal bearing…

A: Here we will apply the bending stress formula from the bending equation

Q: For the beam shown, find the reactions at the supports and plot the shear-force and bending-moment…

Q: The axle of the freight train is subjected to loadings as shown below. The diameter of the axle is…

Q: A wood beam carries the loading shown in the figure. Determine the smallest allowable width b in mm…

Q: Question 3 Determine the maximum bending stress in the steel beam in psi with the circular cross…

Q: M= 2. A beam of length 10 m and of uniform rectangular section is supported at its ends and carries…

A: Given:The length of the beam, The maximum permissible bending stress, The maximum central…

Q: 1) F1 kN 0.4 m 1.2 m F2 KN 1.2m F3 KN 0.5m The beam is made from mild steel (elastic modulus 200Gpa)…

Q: Given the beam shown below, determine the shear force and bending moment at point C. Given the…

Q: A beam fabricated from western white pine has been reinforced by bonding steel strips on its top and…

A: Givenσwood=1.5ksiσsteel=35.6 ksiL1=10inL2=0.9inL3=5.3in

Q: The bar is subjected to a moment of M = 100 N # m. Determine the maximum bending stress in the bar…

A: Given Moment = 100 Nm D = 80 mm = 0.08 m d = 20 mm = 0.02 m t = 10 mm = 0.01 m r = 10 mm = 0.01 m To…

Q: F=(X+4) kN |B L=Y+1 m L=Y+1 m S=1YX mm 30 mm 1 H=2X0 mm -H- 300mm - - 30 mm 30 mm 30 mm The…

A: The maximum load P that can be applied to the load end of the beam is 8.6 kN.

Q: A wood beam is reinforced with steel straps at its top and bottom as shown. Determine the maximum…

A: Moment of inertia of beam can be determined as

Q: 12 kN -0.5 m- -0.4 m 20 kN 0.6 m

A: Given data:To find:The smallest allowable diameter of the shaft.

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

The T-beam is made from two plates welded together as shown. Determine the maximum
uniform distributed load w that can be safely supported on the beam if the allowable bending
stress is allow = 159 MPa and the allowable average shear stress is Tallow = 71 MPa.
[w = 11.4 kN/m]
A
-1.5 m
-1.5 m-
200 mm
T
20 mm
200 mm
20 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: Determine the given variables

VIEW

Step 2: Explanation

VIEW

Solution

VIEW

Step by step

Solved in 3 steps with 3 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

-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.
The Z-section of Example D-7 is subjected to M = 5 kN · m, as shown. Determine the orientation of the neutral axis and calculate the maximum tensile stress c1and maximum compressive stress ocin the beam. Use the following numerical data: height; = 200 mm, width ft = 90 mm, constant thickness a = 15 mm, and B = 19.2e. Use = 32.6 × 106 mm4 and I2= 2.4 × 10e mm4 from Example D-7
A square tube section has side dimension of 20 in. arid thickness of 0.5 in. If the section is used for a 10-ft-long beam subjected to 1250 kip-in, torque at both ends, calculate the maximum shear stress and the angle of twist between the ends. Use G = 11,600 ksi.
Calculate the distance e from the cent crime of the web of a C 15 x 40 channel section to the shear center 5 (see figure). Note: For purposes of analysis, consider the flanges to be rectangles with thickness teequal to the average flange thickness given in Table F-3(a) in Appendix F.
A WT305 x 41 standard steel shape is used to support the loads shown on the beam. The dimensions from the top and bottom of the shape to the centroidal axis are shown in the sketch of the cross section. Assume LAg - 2 m, Lac- 7 m, Lco- 4 m, PA- 14 kN, Wac- 8 kN/m. Consider the entire 13-m length of the beam and determine: (a) the maximum tension bending stress or at any location along the beam, and (b) the maximum compression bending stress oc at any location along the beam.
A uniform wind load of q = 0.2 kN/m? acts on the billboard with dimensions of b = 1.5 m and a = 1 m. The allowable normal stress is oalow = 140 MPa, c = 0.5 m for the circular cross section panel pole. Draw the shear force, bending moment and torsional moment diagrams for the panel pole. a) Calculate the cross-section diameter d, using the maximum shear stress (Tresca) criterion. b) Calculate the cross-section diameter d, using the maximum distortional energy (von Mises) criterion. SOLUTION kesit
The cantilever beam shown is subjected to a concentrated load of P=70800 lb. The cross-sectional dimensions and the moment of inertia of the W16x57 wide-flange shape are: d = 16.4 in. tw=0.430 in. by=7.12 in. ty=0.715 in. 1₂-758 in.4 Compute the value of the shear stress at point H, located at y = 4.8 in. below the centroidal xis. H Answer: Shear stress = psi
AWT305 x 41 standard steel shape is used to support the loads shown on the beam. The dimensions from the top and bottom of the shape to the centroidal axis are shown in the sketch of the cross section. Assume LAB = 3 m, LBC= 6 m, LCD= 4 m, PA = 10 kN, WBC = 7 kN/m. Consider the entire 13-m length of the beam and determine: (a) the maximum tension bending stress or at any location along the beam, and (b) the maximum compression bending stress oc at any location along the beam. A PA LAB B WBC LBC T WT305 x 41 LCD ↑ 88.9 mm. 211.1 mm D X
Problem 1: The steel beam is constructed by welding three rectangular pieces into a complex cross sectional shape, as shown below. The beam is subjected to an internal vertical shear force V = 40 N and an internal bending moment M = +80 N-m. Note that the moment M acts about the horizontal neutral axis of the cross section (labeled NA). 10 mm 10 mm. 10 mm 40 mm 20 mm 20 mm M 10 mm 10 mm A (a) Determine the maximum tensile bending stress. (b) Determine the maximum compressive bending stress. (c) Determine the maximum transverse shear stress. (d) Determine the tra erse shear stress in the weld, which is located at point C.
1. For the same beam used in IC-13, determine the jump in shear stress at the web-flange junction (at point A). V = 20KN. A 200 mm 20 mm B 200 mm 20 mm 300 mm 2. Now cut off the bottom flange and recalculate the maximum shear stress. (Remove the bottom flange so that the beam has a T-shaped cross-section.)
10c The 9.75 m long beam is simply supported at A and B shown below with a uniformly distributed load (UDL) between A and C of 4.75 kN/m and a concentrated point load of 12.50 kN at point D (i.e., midpoint between C & B). Determine the shear force in kilonewtons (kN) at the midpoint of AB (i.e., mid-beam). Assume the beam is weightless and give your answer in kilonewtons (kN) to 2 decimal places. 12.50 kN 4.75 kN/m 1.125 m A 7.50 m 2.25 m в Answer:
QUESTION 3 If the allowable bending stresses for a beam in one application is 6 kip/in2 in tension. The cross-section of the beam is W8 x 40. If the beam is 10 foot long and simply supported and has a concentrated load applied at x = 3 ft as shown below. • Generate the shear force and bending moment diagram in terms of P; • Based on the allowable maximum bending moment you just obtained above, calculate/ input the mazimm allowable value of the load P: please, pay attention to units, and calculate your answer to 1 decimal place.. 3 ft 7 ft kip.