Solution to Problem 677 | Midspan Deflection Problem 677 Determine the midspan deflection of the beam loaded as shown in Fig. P-677. Solution 677 Click here to expand or collapse this section EItA/B=(AreaAB)ˉXA EItA/B=14(12L)(124woL2)45(12L)+12(12L)(18woL2)23(12L)−13(12L)(18woL2)34(12L) EItA/B=1480woL4+196woL4−1128woL4 EItA/B=3640woL4 tA/B=3woL4640EI δmidspan=12tA/B δmidspan=12(3woL4640EI) δmidspan=3woL41280EI answer Another Solution M=14woL(12L)−12(12woL)23(12L) M=124woL2 EItA/B=(AreaAB)ˉXA EItA/B=12L(124woL2)12(12L)−14(12L)(124woL2)15(12L) EItA/B=1192woL4−11920woL4 EItA/B=3640woL4 tA/B=3woL4640EI (okay!) Tags simple beam Uniformly Varying Load midspan deflection triangle load moment diagram by parts elastic diagram equivalent loadings Log in or register to post comments Book traversal links for Solution to Problem 677 | Midspan Deflection Solution to Problem 676 | Midspan Deflection Up Solution to Problem 678 | Midspan Deflection