2015s test3 sol

7/23/2019 2015S Test3 Sol

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EM 319 – Mechanics of Solids TEST 3 Spring 2015 - Landis

Name ___________________________________

EID ___________________________________

Unique Number __________________________

Instructions: Show all of your work. Free body diagrams are required for equilibrium

analyses. Place a box around your final answers and include units when applicable.

Problem 1. (a) Determine the forces in the springs and the reactions at the support. (b)

Draw the shear force and bending moment diagrams. (c) Determine the axial and shear

stresses at x =L / 4 , y = h / 4 . The cross section is rectangular with base b and height h .

(30 points)

Problem 2. The beams are cantilevered to two walls and connected at their ends by a

spring. (a) Determine the reactions at the walls and the force in the spring. (b) Plot the

shear force and bending moment diagrams in each beam. (c) Determine the maximum

tensile stress, compressive stress, and shear stress, and the locations of each in each

beam. The cross section of each beam is circular with radius a . (30 points)

7/23/2019 2015S Test3 Sol


EM 319 – Mechanics of Solids TEST 3 Spring 2015 - Landis

7/23/2019 2015S Test3 Sol


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